scholarly journals LOGARITHMIC CORRECTION TO SCALING FOR MULTISPIN STRINGS IN THE AdS5 BLACK HOLE BACKGROUND

2008 ◽  
Vol 23 (05) ◽  
pp. 719-727
Author(s):  
A. L. LARSEN
Keyword(s):  
Black Hole ◽  
Radial Direction ◽  
Temperature Limit ◽  
Space Time ◽  
Explicit Solutions ◽  
Logarithmic Correction ◽  
High Temperature Limit ◽  
Black Hole Background ◽  
Correction To Scaling ◽  
The One

We find new explicit solutions describing closed strings spinning with equal angular momentum in two independent planes in the AdS5 black hole space–time. These are 2n-folded strings in the radial direction and also winding m times around an angular direction. We specially consider these solutions in the long string and high temperature limit, where it is shown that there is a logarithmic correction to the scaling between energy and spin. This is similar to the one-spin case. The strings are spinning, or actually orbiting around the black hole of the AdS5 black hole space–time, similar to the solutions previously found in black hole space–times.

THE ENTROPY OF A DIELECTRIC BLACK HOLE

2013 ◽  
Vol 28 (07) ◽  
pp. 1350009
Author(s):  
LICHUN ZHANG ◽  
HUAIFAN LI ◽  
REN ZHAO ◽  
RONGGEN CAI
Keyword(s):  
Black Hole ◽  
Correction Term ◽  
Entanglement Entropy ◽  
Constant Term ◽  
Logarithmic Correction ◽  
Brick Wall ◽  
Wall Model ◽  
Brick Wall Model ◽  
Black Hole Background ◽  
Dielectric Black Hole

In a dielectric black hole background, photons will be radiated via Hawking evaporation mechanism. In this paper, we calculate the entanglement entropy associated with a static dielectric black hole by employing 't Hooft's brick-wall model. It is found that the lowest energy of radiated particles is coordinate dependent. The resulted entanglement entropy is composed of three parts: a parameter independent leading constant term [Formula: see text], a logarithmic correction term and some series terms. The convergency of the series terms is also discussed.

scholarly journals Ephemeral islands, plunging quantum extremal surfaces and BCFT channels

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Timothy J. Hollowood ◽  
S. Prem Kumar ◽  
Andrea Legramandi ◽  
Neil Talwar
Keyword(s):  
Black Hole ◽  
High Temperature ◽  
Special Class ◽  
Related Problem ◽  
Temperature Limit ◽  
Free Fermion ◽  
High Temperature Limit

Abstract We consider entanglement entropies of finite spatial intervals in Minkowski radiation baths coupled to the eternal black hole in JT gravity, and the related problem involving free fermion BCFT in the thermofield double state. We show that the non-monotonic entropy evolution in the black hole problem precisely matches that of the free fermion theory in a high temperature limit, and the results have the form expected for CFTs with quasiparticle description. Both exhibit rich behaviour that involves at intermediate times, an entropy saddle with an island in the former case, and in the latter a special class of disconnected OPE channels. The quantum extremal surfaces start inside the horizon, but can emerge from and plunge back inside as time evolves, accompanied by a characteristic dip in the entropy also seen in the free fermion BCFT. Finally an entropy equilibrium is reached with a no-island saddle.

scholarly journals Shadow of a Kerr-like black hole

2014 ◽  
Vol 10 (S312) ◽  
pp. 135-136
Author(s):  
Farruh Atamurotov
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Deformation Parameter ◽  
Space Time ◽  
Black Hole Spin ◽  
Spin Parameter ◽  
Kerr Space ◽  
The One

AbstractThe shadow of a Kerr-like black hole has been considered and it was shown that in addition to the specific angular momentum a, deformation parameter of Kerr-like space-time essentially deforms the shape of the black hole shadow. For a given value of the black hole spin parameter a, the presence of a deformation parameter ε reduces the shadow and enlarges its deformation with respect to the one in the Kerr space-time.

The gravitational perturbations of the Kerr black hole IV. The completion of the solutiont

1980 ◽  
Vol 372 (1751) ◽  
pp. 475-484 ◽  
Keyword(s):  
Black Hole ◽  
Kerr Black Hole ◽  
Space Time ◽  
Gravitational Perturbations ◽  
Kerr Space ◽  
The One

This paper eliminates the last remaining lacuna in the information that was needed to make the solution for the perturbations in the metric coefficients of the Kerr space-time fully explicit. The requisite information is obtained from a pair of equations which is complementary to the one considered in paper III; and the solution of the Newman-Penrose equations governing the perturbations is, thus, completed.

scholarly journals Analytical results of the one-dimensional Hubbard model in the high-temperature limit

2001 ◽  
Vol 64 (19) ◽  
Author(s):  
I. C. Charret ◽  
E. V. Corrêa Silva ◽  
S. M. de Souza ◽  
O. Rojas Santos ◽  
M. T. Thomaz ◽  
...  
Keyword(s):  
High Temperature ◽  
Hubbard Model ◽  
Temperature Limit ◽  
One Dimensional ◽  
High Temperature Limit ◽  
Analytical Results ◽  
The One

scholarly journals A NOTE ON THE osp(1|2s) THERMODYNAMIC BETHE ANSATZ EQUATION

2002 ◽  
Vol 17 (17) ◽  
pp. 2351-2368 ◽  
Author(s):  
ZENGO TSUBOI
Keyword(s):  
Bethe Ansatz ◽  
Central Charge ◽  
Lie Superalgebra ◽  
Temperature Limit ◽  
Entropy Density ◽  
Fundamental Representation ◽  
Thermodynamic Bethe Ansatz ◽  
High Temperature Limit ◽  
The One ◽  
T System

A Bethe ansatz equation associated with the Lie superalgebra osp(1|2s) is studied. A thermodynamic Bethe ansatz (TBA) equation is derived by the string hypothesis. The high temperature limit of the entropy density is expressed in terms of the solution of the osp(1|2s) version of the Q-system. In particular for the fundamental representation case, we also derive a TBA equation from the osp(1|2s) version of the T-system and the quantum transfer matrix method. This TBA equation is identical to the one from the string hypothesis. The central charge is expressed by the Rogers dilogarithmic function and identified to s.

scholarly journals COLLAPSING AND STATIC THIN MASSIVE CHARGED DUST SHELLS IN A REISSNER–NORDSTRÖM BLACK HOLE BACKGROUND IN HIGHER DIMENSIONS

2008 ◽  
Vol 23 (19) ◽  
pp. 2943-2960 ◽  
Author(s):  
SIJIE GAO ◽  
JOSÉ P. S. LEMOS
Keyword(s):  
Black Hole ◽  
Thin Shell ◽  
Rest Mass ◽  
Higher Dimensions ◽  
Space Time ◽  
Particle Accelerators ◽  
Charged Dust ◽  
Empty Interior ◽  
Gravitational Radius ◽  
Black Hole Background

The problem of a spherically symmetric charged thin shell of dust collapsing gravitationally into a charged Reissner–Nordström black hole in d space–time dimensions is studied within the theory of general relativity. Static charged shells in such a background are also analyzed. First, a derivation of the equation of motion of such a shell in a d-dimensional space–time is given. Then, a proof of the cosmic censorship conjecture in a charged collapsing framework is presented, and a useful constraint which leads to an upper bound for the rest mass of a charged shell with an empty interior is derived. It is also proved that a shell with total mass equal to charge, i.e. an extremal shell, in an empty interior, can only stay in neutral equilibrium outside its gravitational radius. This implies that it is not possible to generate a regular extremal black hole by placing an extremal dust thin shell within its own gravitational radius. Moreover, it is shown, for an empty interior, that the rest mass of the shell is limited from above. Then, several types of behavior of oscillatory charged shells are studied. In the presence of a horizon, it is shown that an oscillatory shell always enters the horizon and reemerges in a new asymptotically flat region of the extended Reissner–Nordström space–time. On the other hand, for an overcharged interior, i.e. a shell with no horizons, an example showing that the shell can achieve a stable equilibrium position is presented. The results presented have applications in brane scenarios with extra large dimensions, where the creation of tiny higher-dimensional charged black holes in current particle accelerators might be a real possibility, and generalize to higher dimensions previous calculations on the dynamics of charged shells in four dimensions.

On the Law of Equipartition for Translational Motion of Excited Molecules in Equilibrium with Thermal Radiation

1989 ◽  
Vol 44 (4) ◽  
pp. 273-277
Author(s):  
B. H. Lavenda
Keyword(s):  
Translational Motion ◽  
Excited Molecule ◽  
Temperature Limit ◽  
Stimulated Emission ◽  
High Temperature Limit ◽  
Radiation Theory ◽  
The Law ◽  
Excited Molecules ◽  
The One ◽  
Limiting Condition

Abstract Einstein’s radiation theory consists of two parts: the derivation of Planck's radiation law from a physical mechanism of absorption and emission of radiation by excited molecules that are in thermal equilibrium with the radiation field and a demonstration of the validity of the law of equipartition of energy for the translational motion of the molecules. Several incongruities are observed: Einstein could not have legitimately substituted back into his dynamical equilibrium condition, valid at any finite temperature, a limiting condition between the coefficients of absorption and stimulated emission that he obtained in the high temperature limit. His justification of the law of equipartition involves, on the one hand, treating the motion of the excited molecule as brownian motion while, on the other hand, employing special relativity to obtain an expression for the diffusion coefficient. In the former the velocity of the molecule is a stochastic variable while in the latter it is a uniform velocity. Hence equipartition does not hold for the translational motion.

EFFECTIVE MASS OF A RADIATING CHARGED PARTICLE IN EINSTEIN'S UNIVERSE

2004 ◽  
Vol 19 (03) ◽  
pp. 213-222 ◽  
Author(s):  
ELIAS C. VAGENAS
Keyword(s):  
Black Hole ◽  
Charged Particle ◽  
Effective Mass ◽  
Power Output ◽  
Flat Background ◽  
Black Hole Background ◽  
Momentum Distributions ◽  
The One ◽  
Energy And Momentum ◽  
Momentum Complex

The effective gravitational mass as well as the energy and momentum distributions of a radiating charged particle in Einstein's universe are evaluated. The Møller's energy–momentum complex is employed for this computation. The spacetime under study is a generalization of Bonnor and Vaidya spacetime in the sense that the metric is described in the cosmological background of Einstein's universe in lieu of the flat background. Several spacetimes are limiting cases of the one considered here. In particular for the Reissner–Nordström black hole background, our results are exactly the same as those derived by Cohen and Gautreau using Whittaker's theorem and by Cohen and de Felice using Komar's mass. Furthermore, the power output for the spacetime under consideration is obtained.

scholarly journals T-S-T Dual Black Hole

1997 ◽  
Vol 12 (12) ◽  
pp. 2293-2299
Author(s):  
Björn Andreas
Keyword(s):  
Black Hole ◽  
Space Time ◽  
Test String ◽  
White Hole ◽  
Duality Transformations ◽  
Black Hole Background

The sequence of intertwined T-S-T duality transformations acting on the 4D static uncharged black hole leads to a black hole background with horizon and singularity exchanged. It is shown that this space–time is extendible too. In particular we will see that a string moving into a black hole is dual to a string leaving a white hole. That offers the possibility that a test-string does not see the singularity.

Sign in / Sign up

Export Citation Format

Share Document