Content uploaded by Tsvi Piran
Author content
All content in this area was uploaded by Tsvi Piran on Apr 16, 2015
Content may be subject to copyright.
Draft version September 10, 2014
Preprint typeset using L
A
T
E
X style emulateapj v. 5/2/11
ON THE ROLE OF GRBS ON LIFE EXTINCTION IN THE UNIVERSE
Tsvi Piran1and Raul Jimenez2,3
Draft version September 10, 2014
ABSTRACT
As a copious source of gamma-rays, a nearby Galactic Gamma-Ray Burst (GRB) can be a threat
to life. Using recent determinations of the rate of GRBs, their luminosity function and properties of
their host galaxies, we estimate the probability that a life-threatening (lethal) GRB would take place.
Amongst the different kinds of GRBs, long ones are most dangerous. There is a very good chance (but
no certainty) that at least one lethal GRB took place during the past 5 Gyr close enough to Earth as
to significantly damage life. There is a 50% chance that such a lethal GRB took place during the last
500 Myr causing one of the major mass extinction events. Assuming that a similar level of radiation
would be lethal to life on other exoplanets hosting life, we explore the potential effects of GRBs to life
elsewhere in the Galaxy and the Universe. We find that the probability of a lethal GRB is much larger
in the inner Milky Way (95% within a radius of 4 kpc from the galactic center), making it inhospitable
to life. Only at the outskirts of the Milky Way, at more than 10 kpc from the galactic center, this
probability drops below 50%. When considering the Universe as a whole, the safest environments for
life (similar to the one on Earth) are the lowest density regions in the outskirts of large galaxies and
life can exist in only ≈10% of galaxies. Remarkably, a cosmological constant is essential for such
systems to exist. Furthermore, because of both the higher GRB rate and galaxies being smaller, life
as it exists on Earth could not take place at z > 0.5. Early life forms must have been much more
resilient to radiation.
Subject headings: galaxies:evolution — galaxies: statistics — galaxies: stellar content — gamma-ray
burst: general
1. INTRODUCTION
Gamma Ray bursts (GRBs), short and intense bursts
of γ-rays, are the brightest explosions known. The co-
pious flux of γ-ray photons with energies above 100keV
from a galactic GRB could destroy the ozone layer mak-
ing them potentially damaging to life on Earth. This has
led to the suggestion4(Thorsett 1995; Dar & De Rujula
2001; Scalo & Wheeler 2002; Melott et al. 2004; Thomas
et al. 2005a,b) that events of massive life extinction were
caused by galactic GRBs. This issue depends of course
on the rate of galactic GRBs in the Earth neighborhood.
Once it was realized that long GRBs are preferentially
located at low-metallicity environments it was claimed
(Stanek et al. 2006) that nearby Galactic GRB are rare
and GRBs are unlikely to play any role in life extinc-
tion on Earth (see however, (Melott 2006) who claims
that metallicity won’t protect life on Earth from GRBs).
Given the recent significant progress in quantifying the
main ingredients that determine whether GRBs have any
effect on Earth: their rate, luminosity function and de-
pendence on metallicity it is therefore timely to re-asses
this issue, extending the discussion to GRBs effects on
life in the whole Milky Way and in the whole Universe.
GRBs are traditionally divided in two groups accord-
ing to their duration: long (>2s) GRBs (LGRBs) and
short (<2s) GRBs (sGRBs). This division follows to a
1Racah Institute of Physics, The Hebrew University,
Jerusalem 91904, Israel; tsvi.piran@huji.ac.il
3ICREA & ICC, University of Barcelona, Marti i Franques 1,
Barcelona 08024, Spain; raul.jimenez@icc.ub.edu
4Institute for Applied Computational Science, Harvard Uni-
versity, MA 02138, USA.
4See (Ruderman 1974) for an earlier discussion of nearby Su-
pernovae as the cause of life extinction.
large extend5the origin of these events. LGRBs are asso-
ciated with the death of massive stars (see e.g. Woosley
& Bloom 2006, for a review) while sGRBs have a differ-
ent origin, most likely compact binary mergers (Eichler
et al. 1989). Recently, it was realized that there is a third
group characterized by low luminosity (L≈1046−48 erg
s−1) and denoted llGRBs. These events are also asso-
ciated with the death of massive stars, but they origi-
nate from a different physical mechanism (Bromberg et
al. 2011). A fourth type of a related explosion - giant
SGR flares might also relevant. Such a flare took place
in the Milky Way on 27 Dec 2004, releasing ≈4×1046
ergs (Palmer et al. 2005). This flare, that was sufficiently
powerful to disturb the Earth magnetosphere, is the only
known object outside the solar system to have a direct
clear impact on Earth. Giant SGR flares are different
phenomenon than GRBs but as their rates could be as
high as once per thirty years in the Galaxy we explore
their possible role as well.
Wanderman & Piran (2010) have recently recon-
structed, in a model independent way, the rate of LGRBs
as a function of redshift and their luminosity function.
One of their most interesting findings is that the LGRB
rate is not reproduced by the star formation rate of the
global galaxy population. This discrepancy is statisti-
cally highly significant, particularly at low (<3) red-
shifts, which is relevant here. This is, at first, surpris-
ing as there is ample evidence that long duration GRBs
originate from the collapse of very massive stars and one
would expect that LGRB follow the SFR. Jimenez &
5We note in passing that some GRBs that are shorter than
2s do arise from collapsing massive stars Bromberg et al. (2013).
However this is unimportant for this work.
arXiv:1409.2506v1 [astro-ph.HE] 8 Sep 2014
2
Piran (2013) have shown that the LGRB rate and the
galaxy derived SFR agree for a special class of galaxies:
low mass (stellar mass <1010 M) and low metallicity
(∼
<1/10 solar). This is, of course, done in a statisti-
cal sense and does not exclude that few outliers to this
trend exist. But it is clear that the LGRB host popula-
tion is a special subclass of the general galaxy population.
These results are in agreement with earlier observations
that indicate that LGRBs take place in dwarf (Natarajan
et al. 1997), low metallicity (Fynbo et al. 2003) galax-
ies. They are also consistent with direct observations of
LGRBs host metallicities (e.g. Savaglio 2013; Levesque
2014; Cucchiara et al. 2014) and with the findings of
Fruchter et al. (2006) who have shown that the local SFR
in the vicinity of LGRBs is much higher than expected
if they simply follow the SFR (see also Svensson et al.
2010).
Short GRBs have very different host environments and
they clearly arise from different progenitors (see e.g.
Nakar 2007; Berger 2013, for reviews). They are sig-
nificantly weaker than LGRBs and as such are observed
to much shorter distances than LGRB. sGRBs are be-
lieved to originate in compact binary mergers (Eichler
et al. 1989) but a direct proof for that is still lacking. As
sGRBs are weaker, fewer GRBs have been observed than
LGRBs. However their current overall rate is about five
times larger than the rate of LGRBs. In the following we
use a recent determination of the sGRBs global rate and
luminosity function by Wanderman & Piran (2014), (see
Cohen & Piran 1995; Ando 2004; Guetta & Piran 2005,
2006; Nakar et al. 2006; Guetta & Stella 2009; Coward
et al. 2012; Siellez et al. 2013, for earlier work).
llGRBs are significantly weaker with energies of
1047−49erg (as well as smoother and softer) than both
LGRBs and sGRBs. Like LGRBs they are associated
with the death of massive stars but they arise due to a dif-
ferent physical mechanism (Bromberg et al. 2011). While
less than half a dozen llGRBs have been observed so far
they are more numerous than both LGRBs or sGRBs
(Soderberg et al. 2006). Because of their low luminosi-
ties they are observed only up to relatively short (but
still cosmological) distances.
We use the very recent determination of GRB rates
and luminosity function to estimate the flux of Galactic
GRBs on Earth and compare it with the flux needed
to destroy the ozone layer. Given that LGRBs are the
most powerful and hence most dangerous, and given their
dependence on metallicity we begin with an exposition
of the Milky Way metallicity distribution. We continue
estimating the life threatening effect of LGRBs, turning
later, using the same formalism to sGRBs, llGRBs and
giant SGR flares. We conclude summarizing the results
and their implication to life extinction on Earth. We also
explore the implications to life extinction on exoplanets
elsewhere in the Milky Way and in the whole Universe.
2. THE MILKY WAY METALLICITY DISTRIBUTION
LGRB rate estimates derive the expected rates of
LGRBs per unit volume per unit time. When trans-
lating this volumetric rates to event rate per galaxy and
more specifically to the rate within the Milky Way, one
has to consider the type of galaxies in which the events
take place. Our earlier analysis (Jimenez & Piran 2013)
shows that LGRB hosts are dwarf low metallicity galax-
Figure 1. The percentage of stars as a function of metallicity in
the Milky Way disk with ages 1 <Gyr <5 (solid orange line) and
with ages <1 Gyr (solid black line) as obtained by Casagrande
et al. (2011). The distribution of LGRBs metallicity as obtained
by Jimenez & Piran (2013) from matching the RGB global rate
to the global star formation rate of galaxies (solid green line) and
that from direct metallicity determinations of LGRBs (dashed line)
(Savaglio 2013) and Cucchiara et al. (2014) from DLA (solid red
line). The overlap between the LGRB and Milky Way stars distri-
butions is only at the few % level.
ies that are very different from the Milky Way. There
are outliers and some LGRBs has been found in higher
metallicity galaxies (Savaglio 2013; Levesque 2014).
Casagrande et al. (2011, and references therein) de-
termine the ages and metallicities of stars in the Milky
Way disk. Fig. 1 depicts the percentage distribution of
stars in the Milky Way for ages <1 Gyr (solid black
line) and stars older than 1 Gyr but younger than 5 Gyr
(solid orange line). Stars that are older than the Sun
and that therefore trace the chemical conditions of the
star forming gas at earlier epochs are not relevant for the
question of life destruction on Earth. In the same plot we
also show (solid green line) the percentage distribution of
LGRB hosts derived from Jimenez & Piran (2013) using
the mass metallicity relation from Panter et al. (2008).
Note that due to the metallicity bias for the LGRB host
galaxies, there is very little overlap with the distribution
of stars in the Milky Way disk. In fact they only overlap
at the 10% level.
Also shown in Fig. 1 are the distributions of LGRB
hosts with direct metallicity determinations (dashed blue
lines) as compiled by Savaglio (2013) and those of GRB
hosts metallicities derived from Damped Lyman−αmea-
surements (red line) as reported by Cucchiara et al.
(2014). The percentage of overlap of direct hosts metal-
licities with those of stars in the Milky Way is 10%. We
conclude that the metallicity bias will reduce the prob-
ability for LGRB within the last 5 Gyrs in the Milky
Way by a percentage between 5% (from the metallic-
ity determination by Jimenez & Piran (2013)) and 10%
(from direct metallicity determinations (e.g. Savaglio
2013; Levesque 2014; Cucchiara et al. 2014)), resulting
in a reduction factor between 10 and 20 as compared to
the volumetric rate of LGRBs. In what follows we will
assume a conservative 10% value for a metallicity bias
for LGRB above solar.
3. LIFE THREATENING GRBS IN THE MILKY WAY
3
Following Wanderman & Piran (2010, 2014) we write
the current (z= 0) luminosity function as:
φ(L) = n0(L/L∗)−ˆαLmin < L < L∗
(L/L∗)−ˆ
βL∗< L < Lmax.(1)
The parameters of the luminosity functions6are given
in table 3 and the functions are shown in Fig. 2. This
luminosity and rate are the isotropic equivalent (namely
disregarding the poorly constrained beaming), which are
the quantities needed for our estimates here. In the fol-
lowing we need the total energy and not the peak lumi-
nosity. A good but rough estimate is obtained by assum-
ing a typical duration of 20s (1s) for LGRBs (sGRBs).
Multiplying by the average (∼half) of the peak flux we
obtain ELGRB = 10Land EsGRB = 0.5L. In what fol-
lows we adopt the cosmological volume occupied by a
Milky Way type galaxy as 10−7Gpc3(see e.g. Panter et
al. (2007) Fig. 3 where we use 6×1010 Mas the stellar
mass of the Milky Way (McMillan 2011)).
Assuming that GRBs follow the stellar distribution,
they are distributed in the exponential disk of the
Milky Way with a radial density profile given by ρ∝
exp(−r/rd), with rd= 2.15 ±0.14 kpc (a number that,
surprisingly, has only been accurately determined re-
cently (Bovy & Rix 2013)). Using this density profile
we calculate p[d, R], the fraction of the Galaxy within a
distance dfrom a position R(see Fig. 2). The expected
number of GRBs, with a fluence exceeding Fat a loca-
tion at distance Rfrom the Galactic center is:
hNi=ZLmax
Lmin
φ(L)p[d(E, F), R]dL. (2)
To estimate the effect of a GRB on life on Earth we
need to know what the dangerous radiation doses are.
Ruderman (1974), who considered at the time the ef-
fect of a nearby SNe on Earth, realized that the most
damaging effect would be the depletion of the Earth pro-
tective Ozone layer for a period of months. This would
happen via formation of stratospheric nitric oxide that
destroys the Ozone. The Ozone depletion would lead
to enhancement of UBV solar radiation that, in turn,
would be harmful to life. Note that the UBV fluence on
the surface of the ocean will destroy surface marine life
(as described in detail in Thomas et al. 2005b) among
them plankton, which will deprive (marine) life of their
main nutrient. In 1995, after it was realized that GRBs
are cosmological and their rate was estimated, Thorsett
(1995) applied these ideas to Galactic GRBs. A decade
later Thomas et al. (2005a,b) carried out the most exten-
sive, to date, calculation of the effects of the gamma-ray
flux on the Earth atmosphere. They find that a fluence
of 10kJ/m2will cause a depletion of -68% of the ozone
layer on a time scale of a month. Fluences of 100kJ/m2
and 1000kJ/m2will cause depletions of -91% and -98%
respectively. One has to realize that these are average
quantities. The exact amount of depletion depends on
the direction of the GRB as well as on the season when
the GRB takes place and may vary from one latitude to
6The luminosity function defined here, φ(L), is per dL/L∗. As
such it differs from that given in (Wanderman & Piran 2010, 2014)
that is per dlog10 (L). The power law indices are marked byˆ to
denote this difference. Clearly, ˆα=α+ 1 and ˆ
β=β+ 1.
Figure 2. The fraction of stars in the Galaxy within a distance
dform Earth for an exponential disc with scale-length of 2.15 kpc
(left y-axis) as a function of energy of a life-extinction GRB for
different locations of the life harbouring planet (2.15,4,8.5 and
16kpc). Also plotted (right y-axis) are the luminosity functions as
a function of energy for LGRB and sGRB.
another. Following Thomas et al. (2005a,b) we estimate
that a fluence of 10kJ/m2will cause some damage to
life, while 1000kJ/m2will wipe out nearly the whole at-
mosphere causing a catastrophic life extinction event; we
consider F= 100kJ/m2as our canonical life threatening
fluence. We don’t consider here other sources of damage,
such as cosmic rays associated with the GRBs that could
lead to enhanced radioactivity in the atmosphere (Dar &
De Rujula 2001).
Integrating over the luminosity functions in eq. 2 we
estimate hNi, for both long and short GRBs. These val-
ues are listed in Table. 2. To estimate the significance
of these numbers taking into account the errors in the
luminosity function, burst duration and the Milky Way
disk scale length, we carry out a Monte Carlo simulation
of 1000 realizations for both long and short GRBs. We
calculate the distribution of hNiand the overall proba-
bility of more than one life threatening GRB taking place
within the last 5 Gyr, 1 Gyr and 500Myr.
Inspection of Fig. 2 reveals that the maximal danger
arises from weak but not extremely weak events, namely
those around 0.01L∗. Lower luminosity bursts are more
abundant but their covering fraction of the Galaxy is
too small. Higher luminosity bursts can destroy life on
a large fraction of the Galaxy but those are extremely
rare. From the point of view of computational certainty
these results are reassuring as the confidence in our de-
termination of the rate of events around L∗is good. This
is also important from another point of view. Spatially
GRBs are concentrated within regions of the highest SFR
(Fruchter et al. 2006; Svensson et al. 2010). The domi-
nance of strong GRBs whose radius of influence is a few
kpc implies that we can ignore this spatial inhomogeneity
and the approximation that the distribution of LGRBs
follow the distribution of matter in the galaxy holds.
We find that the probability of a LGRB, in the past 5
Gyr, with fluence 100kJ/m2on Earth to be higher than
90% and in the last 0.5 Gyr this probability is 50%. It
is somewhat surprising that this result (50% chance of a
biospherically important event in a half Gyr) is so similar
to the original calculation in Thorsett (1995). At lower
4
Table 1
Parameters of the LGRBs and sGRBs luminosity functions from Wanderman & Piran (2010, 2014). Note that the upper and lower limits
are not well determined but this is unimportant for our estimates here.
n0ˆαˆ
β L∗Lmin Lmax
Gpc−3yr−1ergs s−1ergs s−1ergs s−1
LGRB 0.15+0.7
−0.81.2+0.2
−0.12.4+0.3
−0.61052.5±0.21049 1054
sGRB 0.04+0.023
−0.019 1.9±0.12 3.0+1
−0.81052.3±0.25×1049 1053
Figure 3. The probability distribution function, p, of the average
number of lethal LGRBs (top panel) and sGRBs (bottom panel)
that irradiated Earth in the past Gyr with enough flux to cause
severe life extinction (100 kJ/m2). For LGRBs we show the case
where we applied a 10% metallicity bias.
fluence, 10kJ/m2, these probabilities are higher than
99.8% (95%) for 5 Gyr (0.5 Gyr) and thus nearly cer-
tain. However, the chances of a truly catastrophic event
with a fluence of 1000kJ/m2, are at most 25% thus mak-
ing it unlikely. These probabilities are of course much
larger (see Table. 2) if we ignore suppression of GRBs in
the Milky Way due to large metallicity.
sGRBs are weaker and as such, even though their rate
is larger than the rate of LGRBs (and particularly so
in the Milky way, because of the metallicity bias) their
life threatening effect is negligible as can be seen from
Table 2. As llGRBs are even weaker their effect is com-
pletely negligible. For completeness we mention that a
giant SGR flare would have to be within ∼1−2 pc from
Earth to produce a 100kJ/m2fluence. This is compa-
Figure 4. The probability, hNi, of having on average more than
one lethal GRB in the past Gyr for an exoplanet at a distance r
from the centre of the Milky Way. The grey line shows the fraction
of mass in the Milky encompassed within a radius r. The dashed
line is for LGRB assuming no metallicity correction.
Table 2
Probability, in %, of at least one GRB having occurred in the
past time twith enough flux to produce significant life extinction.
For LGRB we show in parenthesis the probability when we use a
10% metallicity bias. We consider three cases of the GRB fluence
on Earth (10,100 and 1000 kJ/m2).
t < 5 Gyr t < 1 Gyr t < 0.5 Gyr
10kJ/m2
LGRBs 99.8 (99.95) 98.7 (99.90) 95 (99.80)
sGRBs 80 37 22
llGRBs <1<1<1
100kJ/m2
LGRBs 90 (99.8) 60 (96) 50 (90)
sGRBs 14 3 2
llGRBs <1<1<1
1000kJ/m2
LGRBs 25 (80) 7 (40) 4 (25)
sGRBs 10−22×10−310−3
llGRBs 0 0 0
rable to the distances between stars in the solar neigh-
bourhood. Consequently giant SGR flares are unlikely
to cause any significant damage to life.
4. GRBS AND LIFE IN THE GALAXY
We turn now to explore the possible threat caused by
GRBs to life elsewhere in the Milky Way, turning to the
whole Universe in the next section. Clearly to do so
one must assume the lethal radiation dose that will be
threatening to life elsewhere. While life can take nu-
merous other forms and could be much more resilient
5
to radiation than on earth, we make here the conserva-
tive assumption that life is rather similar to the one on
Earth. This common assumption is the basis for searches
of Earth like exoplanets as places that harbour life. Un-
der this assumption, we explore what is the likelihood
that a nearby GRB results in a dose of 100 as well as 10
and 1000 kJ/m2in various regions of the Milky Way.
The stellar density is significantly larger towards the
center of the Galaxy and hence the threat to life on
most exoplanets, that reside in this region, are much
larger. Fig. 4 depicts the probability of having one life
threatening event within the last71 Gyr as a function
of the distance rof an exoplanet from the Galactic cen-
ter. Also shown is the fraction of the stellar population
of the Milky Way within this radius. A lethal GRBs,
for 100kJ/m2, would be more likely than 95% up to a
distance of 2 kpc from the Galactic center in which 25%
of the MW stars reside. When considering F= 10 and
1000kJ/m2we find 12 and 0.5 kpc respectively. In agree-
ment with the specific estimates for Earth, events around
the Solar distance from the Galactic could be significant
but rare and only at a distance >10kpc the threat from
GRBs becomes small. Therefore, life can be preserved
with certainty only in the outskirts of our Galaxy. Over-
all GRBs would destroy life on 40%, 90% and 5% of the
Milky Way exoplanets for F= 100,10 and 1000kJ/m2
respectively.
Finally, given the LGRBs luminosity function there are
practically no lethal events with a distance larger than
30kpc. This implies that nearby small satellite galaxies
with a large SFR, like the LMC, are too far to influence
life in the Milky Way. The fact that the local group
is such a low density region containing only two large
galaxies (Andromeda and the Milky Way) and with the
nearest cluster of galaxies, Virgo, at 16 Mpc, i.e. much
farther away than the typical inter-galactic distance of
1 Mpc, seems to provide the required environment to
preserve life on Earth. There is no threat from nearby
extragalactic bursts.
5. GRBS AND LIFE IN THE UNIVERSE
Before concluding we turn now to consider the condi-
tions elsewhere in the Universe. We already mentioned
that the local neighbourhood of the Milky Way has a
lower density of star forming dwarf galaxies making the
Milky Way a more friendly neighbourhood for life. We
can take our calculation one step further and compute
the effective volume in the Universe protected from GRB
explosions for life proliferation. This happens for galax-
ies that produce enough metals so that their metallicity
is at least 1/3 solar and their stellar disks are larger than
4 kpc. Using the mass-metallicity relation in Panter et
al. (2008, their Fig. 6) such galaxies must have stellar
masses larger than 1010M. This corresponds to a co-
moving abundance of 10−3galaxies per Mpc3(see Fig. 3
of Panter et al. (2007)). This is a factor 10 less than the
abundance of most common galaxies. Galaxies friendly
to harbor and preserve life will preferably inhabit low
density regions in voids and filaments of the cosmic web.
Turning to earlier epochs we may wonder whether life
7We use 1 Gyr as a round number to estimate life extinctions
that could have cause a massive extinction that terminated life and
thus made it unlikely that we find signs of life today.
could have existed in the earlier universe? We recall that
the age of the Universe at z=1 is about 6 Gyr so in
principle there was enough time for life to evolve even
before this redshift; here we note that the LGRB rate is
significantly larger in the past making the GRB threat
much more significant. Furthermore, galaxies at high-z
are smaller than current ones by a factor of 2−4 in radius
and as such have less room for isolated safe regions like
the outskirts of the Milky Way. We conclude that it is
impossible to harbor life at z > 0.5 as LGRBs will always
be sufficiently nearby to life-harboring planets and thus
cause life extinctions. It seems the survival of life, as
we know it on Earth, was only a recent phenomenon in
the history of the Universe caused by the growth of large
galaxies. Life forms that might have existed earlier or
that exist today in other regions of the Universe that are
much more susceptible to significant GRB bombardment
must have been much more resilient to radiation than life
on Earth.
6. CONCLUSIONS
We have used the latest determination of GRB rates
and luminosities to estimate the likelihood of them be-
ing the source of life extinction on Earth. Using also the
latest determinations of metallicity of stars in the Milky
Way and those of LGRB hosts, we concluded that the
likelihood of a GRB producing life extinction on Earth
is high. Taking the same lethal dose for extraterrestrial
life as for life on Earth we have found that GRBs and in
particular LGRBs are life threatening in a large part of
the Milky Way as well as in many other locations in the
Universe. The safest environments to preserve life are
the outskirts of large galaxies in low density regions (so
that these galaxies don’t have “dangerous” low metal-
licity dwarf satellites). It is curious to point out that
a cosmological constant is essential for the Universe to
grow large galaxies and also preserve low density regions
at late times z < 0.5.
TP thanks the Institut Lagrange de Paris for hospital-
ity while this work was being completed. This research
was supported by the ERC grant GRBs, by the ISF I-
Core center of excellence and by an Israel-China grant.
RJ thanks the Royal Society and the ICIC at Imperial
College for financial support and hospitality while this
work was being completed. We thank Chris Flynn and
Luca Casagrande for discussions on the age-metallicity
relation of stars in the Milky Way.
REFERENCES
Ando S., 2004, Journal Cosmology and Astroparticle Physics, 6, 7
Berger E., 2013, arXiv, arXiv:1311.2603
Bovy, J., & Rix, H.-W. 2013, ApJ, 779, 115
Bromberg, O., Nakar, E., & Piran, T. 2011, ApJ, 739, L55
Bromberg O., Nakar E., Piran T., Sari R., 2013, ApJ, 764, 179
Casagrande L., Sch¨onrich R., Asplund M., Cassisi S., Ram´ırez I.,
Mel´endez J., Bensby T., Feltzing S., 2011, A&A, 530, A138
Cohen E., Piran T., 1995, ApJ, 444, L25
Coward D. M. et al., 2012, MNRAS, 425, 2668
Cucchiara, A., Fumagalli, M., Rafelski, M., et al. 2014,
arXiv:1408.3578
Dar A., De Rujula A., 2001, astro, arXiv:astro-ph/0110162
Eichler D., Livio M., Piran T., Schramm D. N., 1989, Nature,
340, 126
Fruchter A. S., et al., 2006, Natur, 441, 463
Fynbo, J. P. U., Jakobsson, P., M¨oller, P., et al. 2003, A&A, 406,
L63
6
Guetta D., Piran T., 2005, A&A, 435, 421
Guetta D., Piran T., 2006, A&A, 453, 823
Guetta D., Stella L., 2009, A&A, 498, 329
Jimenez R., Piran T., 2013, ApJ, 773, 126
Levesque, E. M. 2014, PASP, 126, 1
McMillan, P. J. 2011, MNRAS, 414, 2446
Melott, A. L., Lieberman, B. S., Laird, C. M., et al. 2004,
International Journal of Astrobiology, 3, 55
Melott A. L., 2006, astro, arXiv:astro-ph/0604440
Nakar E., Gal-Yam A., Fox D. B., 2006, ApJ, 650, 281
Nakar E., 2007, PhR, 442, 166
Natarajan, P., Bloom, J. S., Sigurdsson, S., et al. 1997, New
Astronomy, 2, 471
Palmer, D. M., Barthelmy, S., Gehrels, N., et al. 2005, Nature,
434, 1107
Panter, B., Jimenez, R., Heavens, A. F., & Charlot, S. 2007,
MNRAS, 378, 1550
Panter B., Jimenez R., Heavens A. F., Charlot S., 2008, MNRAS,
391, 1117
Ruderman M. A., 1974, Sci, 184, 1079
Savaglio, S. 2013, EAS Publications Series, 61, 381
Scalo, J., & Wheeler, J. C. 2002, ApJ, 566, 723
Siellez K., Boer M., Gendre B., 2013
Soderberg, A. M., Kulkarni, S. R., Nakar, E., et al. 2006, Nature,
442, 1014
Stanek K. Z., et al., 2006, AcA, 56, 333
Svensson K. M., Levan A. J., Tanvir N. R., Fruchter A. S.,
Strolger L.-G., 2010, MNRAS, 405, 57
Thomas, B. C., Jackman, C. H., Melott, A. L., et al. 2005, ApJ,
622, L153
Thomas B. C., et al., 2005, ApJ, 634, 509
Thorsett S. E., 1995, ApJ, 444, L53
Wanderman D., Piran T., 2010, MNRAS, 406, 1944
Wanderman D., Piran T., 2014, arXiv, arXiv:1405.5878
Woosley S. E., Bloom J. S., 2006, ARA&A, 44, 507