What is the role of anisotropy in the dynamic modeling of star ?
astrophysicst
What is the role of anisotropy in the dynamic modeling of star. For realistic modeling of star what should be the trend of anisotropy from center to boundary.
National Defence Academy, Khadakwasla, Pune, India
Dear Prof. Herrera, since $p_t$ acts perpendicular to $p_r$, does it mean that $p_t$ will produce a rotational motion on the particles at interior? What will be the effect of anisotropy on a collapsing star?
No, rotations are excluded by the spherical symmetry. (in the case you are considering such a case. The effect of anisotropy consists in the appearance of an additional "force" term, besides the pressure gradient.
National Defence Academy, Khadakwasla, Pune, India
Thank you so much Prof. Herrera. This idea seems to agree with our new solution that represents a collapsing star with non-zero anisotropy. We have analysed the time evolution of all the physical quantities and found to delayed due to anisotropy. Again we found more anisotropy implies more delayed.
Dear sir, anisotropy may or may not delay the collapse rate it depends on type of anisotropy as said by Prof. Herrera i.e. radial pressure is greater or less than the tangential pressure.
National Defence Academy, Khadakwasla, Pune, India
Here pr < pt, i.e. in TOV equation, the force due to anisotropy 2(pt-pr)/r > 0 and thus exert an outward force. Therefore it is clearly seen that positive anisotropy force will delay the collapsing possess.
I think everyone is forgetting that the interior of stars represents a complex plasma in its physics more than an ideal gas under hydrostatic equilibrium. Yes there is no LARGE SCALE asymmetry but there are important small scale effects.
1. We do know something about seismicity in the solar fluid through the solar helioseismology project. Bulk internal movements, which can move significant amounts of mass, can produce temporal anisotropies.
2. The role that magnetic fields play in the internal structures of stars is virtually unknown and may cause important effects
Also, in the latter part of stellar evolution when the core is degenerate there may be some important effects as well
I will be presenting this work to the general scientific community at #COSPAR in Sydney, Australia, which will be broadcast Live according to Congress schedule on February 2, 2021
and will be available as Video-On-Demand in more detail.
To provide an introductory idea for readers and scientific community in general, here is a short video giving an overview description of the main and most significant findings:
Until a few months ago there seemed to be no evidence for any large-scale anisotropy in the arrival directions of ultra-high-energy (E>1017 eV) cosmic ray primaries. In a recent letter, Krasilnikov et al. (1974) however, have put forward some evidence for a huge anisotropy above 1019 eV, and this evidence has been claimed to be supported by some ea...
The spherical Jeans equation is widely used to estimate the mass content of stellar systems with apparent spherical symmetry.
However, this method suffers from a degeneracy between the assumed mass density and the kinematic anisotropy profile, β(r). In a previous work, we laid the theoretical foundations for an algorithm that combines smoothing B s...
The stability of Newton and Binney's dynamical model of the giant
elliptical galaxy M87 is tested with a mean-field N-body code. The model
is unstable to the formation of a bar near the center. This result
suggests that stable models of M87 with strong velocity anisotropies may
have to be nonspherical.