-
[show abstract]
[hide abstract]
ABSTRACT: In this paper, we show that the Lax connections can yield new classical solutions with a spectral parameter of the hybrid
formulism for the Type IIB superstring in an AdS
2 × S
2 background with Ramond-Ramond flux. This series of classical solutions have the same infinite set of classically conserved
charges.
Frontiers of Physics in China 04/2012; 3(1):69-73. · 0.90 Impact Factor
-
[show abstract]
[hide abstract]
ABSTRACT: Gaudin model is a very important integrable model in both quantum field theory and condensed matter physics. The integrability
of Gaudin models is related to classical r-matrices of simple Lie algebras and semi-simple Lie algebra. Since most of the constructions of Gaudin models works concerned
mainly on rational and trigonometric Gaudin algebras or just in a particular Lie algebra as an alternative to the matrix entry
calculations often presented, in this paper we give our calculations in terms of a basis of the typical Lie algebra, A
n
, B
n
, C
n
, D
n
, and we calculate a classical r-matrix for the elliptic Gaudin system with spin.
Frontiers of Physics in China 04/2012; 2(2):234-237. · 0.90 Impact Factor
-
[show abstract]
[hide abstract]
ABSTRACT: In present paper the gravitational effect of spontaneous symmetry breaking
vacuum energy density is investigated by subtracting the flat space-time
contribution from the energy in the curved space-time. We found that the remain
effective energy-momentum tensor is too small to cause the acceleration of the
universe although it satisfies the characteristic of the dark energy. However
it could provide a promising explanation to the puzzle why the gravitational
effect produced by the huge symmetry breaking vacuum energy in the electroweak
theory has not been observed, since it has a sufficient small value (smaller
than the observed cosmic energy density by a factor $10^{32}$).
09/2011;
-
[show abstract]
[hide abstract]
ABSTRACT: We here explore black holes in the third order Lovelock gravity coupling with
nonlinear Born-Infeld electromagnetic field. Considering special second and
third order coefficients ($\hat{\alpha}_2^2=3\hat{\alpha}_3=\alpha^2$), we
analyze the thermodynamics of third order Lovelock-Born-Infeld black holes and,
in 7-dimensional AdS space-time, discuss the stability of black holes in
different event horizon structures. We find that the cosmological constant
$\Lambda$ plays an important role in the distribution of stable regions of
black holes.
09/2011;
-
[show abstract]
[hide abstract]
ABSTRACT: We explore the gravitational collapse of a spherically symmetric dust cloud
in the Einstein-Gauss-Bonnet gravity without a cosmological constant, and
obtain three families of LTB-like solutions. It is shown that the Gauss-Bonnet
term has a profound influence on the nature of singularities, and the global
structure of space-time changes drastically from the analogous general
relativistic case. Interestingly, the formation of a naked, massive and
uncentral singularity, allowed in 5-dimensional space-time, is forbidden if
$D\geq6$. Moreover, such singularity is gravitational strong and a serious
counter example to CCH.
07/2011;
-
[show abstract]
[hide abstract]
ABSTRACT: This paper presents a new metric for slowly rotating charged Gauss-Bonnet
black holes in higher dimensional anti-de Sitter spaces. Taking the angular
momentum parameter $a$ up to second order, the slowly rotating charged black
hole solutions are obtained by working directly in the action.
07/2011;
-
[show abstract]
[hide abstract]
ABSTRACT: This paper presents a new metric and studies slowly rotating Gauss-Bonnet
black holes with one nonvanishing angular momentum in five dimensional anti-de
Sitter spaces. Taking the angular momentum parameter $a$ up to second order,
the slowly rotating black hole solutions are obtained by working directly in
the action. In addition, it also finds that this method is applicable in higher
order Lovelock gravity.
07/2011;
-
[show abstract]
[hide abstract]
ABSTRACT: We explore static spherically symmetric stars in the Gauss-Bonnet gravity
without cosmological constant, and present an exact internal solution which
attaches to the exterior vacuum solution outside stars. It turns out that the
presence of the Gauss-Bonnet term with a positive coupling constant completely
changes thermal and gravitational energies, and the upper bound of red shift of
spectral lines from the surface of stars. Unlike in general relativity, the
upper bound of red shift is dependent on the density of stars in our case.
Moreover, we have proven that two theorems for judging the stability of
equilibrium of stars in general relativity can be hold in Gauss-Bonnet gravity.
07/2011;
-
[show abstract]
[hide abstract]
ABSTRACT: We investigate the spherically symmetric gravitational collapse of an
incoherent dust cloud by considering a LTB type space-time in third order
Lovelock Gravity without cosmological constant, and give three families of
LTB-like solutions which separately corresponding to hyperbolic, parabolic and
elliptic. Notice that the contribution of high order curvature corrections have
a profound influence on the nature of the singularity, and the global structure
of space-time changes drastically from the analogous general relativistic case.
Interestingly, the presence of high order Lovelock terms leads to the formation
of massive, naked and time-like singularities in the 7D space-time, which is
disallowed in general relativity. Moveover, we point out that the naked
singularities in the 7D case may be gravitational weak therefore may not be a
serious threat to the cosmic censorship hypothesis, while the naked
singularities in the $D\geq8$ inhomogeneous collapse violate the cosmic
censorship hypothesis seriously.
07/2011;
-
[show abstract]
[hide abstract]
ABSTRACT: We solve a generalized nonautonomous nonlinear Schrödinger equation analytically by performing the Darboux transformation. The precise expressions of the soliton's width, peak, and the trajectory of its wave center are investigated analytically, which symbolize the dynamic behavior of a nonautonomous soliton. These expressions can be conveniently and effectively applied to the management of soliton in many fields.
Physical Review E 06/2011; 83(6 Pt 2):066602. · 2.26 Impact Factor
-
[show abstract]
[hide abstract]
ABSTRACT: We present a series of chirp-free and chirped analytical nonautonomous
soliton solutions to the generalized nonlinear Schrodinger equation (NLSE) with
distributed coefficients by Darboux transformation from a trivial seed. For
chirpfree nonautonomous soliton, the dispersion management term can change the
motion of nonautonomous soliton and do not affect its shape at all.
Especially,the classical optical soliton can be presented with variable
dispersion term and nonlinearity when there is no gain. For chirped
nonautonomous soliton, dispersion management can affect the shape and motion of
nonautonomous solitons meanwhile. The periodic dispersion term can be used to
control its "breathing" shape, and it does not affect the trajectory of
nonautonomous soliton center with a certain condition.
01/2011;
-
[show abstract]
[hide abstract]
ABSTRACT: In this paper, we study slowly rotating black hole solutions in Lovelock
gravity (n=3). These exact slowly rotating black hole solutions are obtained in
uncharged and charged cases, respectively. Up to the linear order of the
rotating parameter a, the mass, Hawking temperature and entropy of the
uncharged black holes get no corrections from rotation. In charged case, we
compute magnetic dipole moment and gyromagnetic ratio of the black holes. It is
shown that the gyromagnetic ratio keeps invariant after introducing the
Gauss-Bonnet and third order Lovelock interactions.
11/2010;
-
[show abstract]
[hide abstract]
ABSTRACT: By using a new approach, we demonstrate analytic expressions for slowly
rotating Gauss-Bonnet charged black holes with negative cosmological constant.
Up to the linear order of the rotating parameter a, the mass, Hawking
temperature and entropy of the charged black holes get no corrections from
rotation.
11/2010;
-
[show abstract]
[hide abstract]
ABSTRACT: In this paper, we present the asymptotically flat black hole solutions for
arbitrary values of coefficients in third order Lovelock gravity, and then
derive gravitational mass, Hawking temperature and entropy of the black holes.
In addition, based on a Hamilton-Jacobi approach beyond the semiclassical
approximation, we compute the corrected temperature and entropy of the third
order Lovelock black holes in seven dimensional spacetimes. By considering the
coefficients {\alpha}2 = {\alpha} and {\alpha}3 = {\alpha}2/3, we obtain a
special black hole solution. Later, we perform the local and global stability
analysis of the black holes with different horizon structures k = \pm1 for
coefficient {\alpha}2 < 0 and {\alpha}2 > 0, respectively.
11/2010;
-
[show abstract]
[hide abstract]
ABSTRACT: We construct solutions of a model which includes the Gauss-Bonnet and
Born-Infeld terms for various horizon topologies $(k=0, \pm 1)$, and then the
mass, temperature, entropy and heat capacity of black holes are computed. For
the sake of simplicity, we perform the stability analysis of five dimensional
topological black holes in AdS space.
11/2010;
-
[show abstract]
[hide abstract]
ABSTRACT: We present a series of analytical solutions which describe nonautonomous solitons in a planar waveguide with an additional periodical structure, that is, a long-period grating. The explicit functions which describe the evolution of the width, peak, and trajectory of the soliton’s wave center are presented exactly. The gain parameter has no effects on the motion of the soliton’s wave center or its width; it affects just the evolution of the soliton’s peak. The grating term affects the motion of the soliton’s wave center without changing its shape. The evolution of the soliton under the propagation-distance-dependent gain term is investigated too. It is reported that an arbitrary additional structure can be added on the graded-index waveguide to control the motion of the soliton without affecting its shape.
Phys. Rev. A. 04/2010; 81(4).
-
[show abstract]
[hide abstract]
ABSTRACT: We give the center of the elliptic quantum group in general case. Based on the Dynamic Yang-Baxter Relation and the fusion method, we prove that the center commute with all generators of the elliptic quantum group. Then for a kind of assumed form of these generators, we find that the coefficients of these generators form a new type closed algebra. We also give the center for the algebra.
01/2005;
-
[show abstract]
[hide abstract]
ABSTRACT: In this paper, we give the general forms of the minimal $L$ matrix (the elements of the $L$-matrix are $c$ numbers) associated with the Boltzmann weights of the $A_{n-1}^1$ interaction-round-a-face (IRF) model and the minimal representation of the $A_{n-1}$ series elliptic quantum group given by Felder and Varchenko. The explicit dependence of elements of $L$-matrices on spectral parameter $z$ are given. They are of five different forms (A(1-4) and B). The algebra for the coefficients (which do not depend on $z$) are given. The algebra of form A is proved to be trivial, while that of form B obey Yang-Baxter equation (YBE). We also give the PBW base and the centers for the algebra of form B. Comment: 23 pages
11/2004;
-
[show abstract]
[hide abstract]
ABSTRACT: In this paper we interpret the hidden symmetry of the moduli space of IIB superstring on $AdS_{5}\times S^{5}$ in terms of the chiral embedding in $AdS_{5}$, which turns to be the $\mathbb{CP}^{3}$ conformal affine Toda model. We review how the position $\mu $ of poles in the Riemann-Hilbert formulation of dressing transformation and how the value of loop parameters $\mu $ in the vertex operator of affine algebra determines the moduli space of the soliton solutions, which describes the moduli space of the Green-Schwarz superstring. We show also how this affine SU(4) symmetry affinize the conformal symmetry in the twistor space, and how a soliton string corresponds to a Robinson congruence with twist and dilation spin coefficients $\mu $ of twistor.
07/2004;
-
[show abstract]
[hide abstract]
ABSTRACT: By extending the dressing symmetric action of IIB string in $AdS_5\times S^5$ to the $D_3$ brane, we find a gauged WZW action of Higgs Yang-Mills field including the 2-cocycle of axially anomaly. The left and right twistor structure of left and right $\alpha $-planes glue into an ambitwistor. The symmetry group of Nahm equations is central extended to an affine group, thus we explain why the spectral curve is given by affine Toda.
07/2004;
