共查询到20条相似文献,搜索用时 31 毫秒
1.
There is much attention on the corrections to Bekenstein–Hawking entropy in area with a model-dependent coefficient. The corrections
are generally composed of two parts: quantum corrections and thermal corrections. The generalized uncertainty principle (GUP),
which will reduce to the conventional Heisenberg relation in situations of weak gravity, is one of the candidates to be utilized
to obtain the quantum corrections to the Bekenstein–Hawking entropy. Recently the extended uncertainty principle (EUP) and
generalized extended uncertainty principle (GEUP) are introduced to calculate entropy corrections with large length scales
limit. In this paper, we obtain the quantum corrections to Bekenstein–Hawking entropy in four-dimensional Schwarzschild black
holes based on the EUP and GEUP. Some attractive results are derived. 相似文献
2.
We investigate the thermodynamic properties of 5D static and spherically symmetric black holes in (i) Einstein–Maxwell–Gauss–Bonnet
theory, (ii) Einstein–Maxwell–Gauss–Bonnet theory with negative cosmological constant, and in (iii) Einstein–Yang–Mills–Gauss–Bonnet
theory. To formulate the thermodynamics of these black holes we use the Bekenstein–Hawking entropy relation and, alternatively,
a modified entropy formula which follows from the first law of thermodynamics of black holes. The results of both approaches
are not equivalent. Using the formalism of geometrothermodynamics, we introduce in the manifold of equilibrium states a Legendre
invariant metric for each black hole and for each thermodynamic approach, and show that the thermodynamic curvature diverges
at those points where the temperature vanishes and the heat capacity diverges. 相似文献
3.
Juan Yang 《International Journal of Theoretical Physics》2009,48(9):2592-2598
Via the method beyond semi-classical approximation, we obtain the correctional tunneling probability and Hawking temperature
at the apparent horizon of Finsler rainbow universe. Then we apply Bekenstein–Hawking entropy area law used in black hole
to the cases of rainbow universe, and reach the entropy of the apparent horizon. Finally, we calculate the correctional entropy
and obtain reasonable results. 相似文献
4.
S. Carlip 《International Journal of Theoretical Physics》2007,46(9):2192-2203
Black hole entropy appears to be “universal”—many independent calculations, involving models with very different microscopic
degrees of freedom, all yield the same density of states. I discuss the proposal that this universality comes from the behavior
of the underlying symmetries of the classical theory. To impose the condition that a black hole be present, we must partially
break the classical symmetries of general relativity, and the resulting Goldstone-boson-like degrees of freedom may account
for the Bekenstein–Hawking entropy. In particular, I demonstrate that the imposition of a “stretched horizon” constraint modifies
the algebra of symmetries at the horizon, allowing the use of standard conformal field theory techniques to determine the
asymptotic density of states. The results reproduce the Bekenstein–Hawking entropy without any need for detailed assumptions
about the microscopic theory. 相似文献
5.
In the context of gravity’s rainbow, Planck scale correction on Hawking radiation and black hole entropy in Parikh and Wilczk’s
tunneling framework is studied. We calculate the tunneling probability of massless particles in the modified Schwarzschild
black holes from gravity’s rainbow. In the tunneling process, when a particle gets across the horizon, the metric fluctuation
must be taken into account, not only due to energy conservation but also to spacetime Planck scale effect. Our results show
that the emission rate is related to changes of the black hole’s quantum corrected entropies before and after the emission.
In the same time, for the modified black holes, a series of correction terms including a logarithmic term to Bekenstein–Hawking
entropy are obtained. Correspondingly, the spectrum of Planck scale corrected emission is obtained and it deviates from the
thermal spectrum. In addition, a specific form of modified dispersion relation is proposed and applied. 相似文献
6.
Ran Li Ming-Fan Li Ji-Rong Ren 《The European Physical Journal C - Particles and Fields》2011,71(2):1566
We extend the recently proposal of hidden conformal symmetry to the self-dual warped AdS3 black holes in topological massive gravity. It is shown that the wave equation of massive scalar field with sufficient small
angular momentum can be reproduced by the SL(2, R) Casimir quadratic operator. Due to the periodic identification in the φ direction, it is found that only the left section of hidden conformal symmetry is broken to U(1), while the right section
is unbroken, which only gives the left temperature of dual CFT. As a check of the dual CFT conjecture of self-warped AdS3 black hole, we further compute the Bekenstein–Hawking entropy and absorption cross section and quasinormal modes of scalar
field perturbation and show these are just of the forms predicted by the dual CFT. 相似文献
7.
Considering the unfixed background space-time and self-gravitational interaction, we review the Hawking radiation of the Kerr–Newman
black hole by Hamilton–Jacobi method. The result shows the tunneling probability is related to the change of Bekenstein–Hawking
entropy and the radiation spectrum deviates from the precisely thermal one, which is in accordance with Parikh and Wilczek’s
result and gives another method to study the Hawking radiation of the black hole. 相似文献
8.
The Bekenstein–Hawking entropy of certain black holes can be computed microscopically in string theory by mapping the elusive
problem of counting microstates of a strongly gravitating black hole to the tractable problem of counting microstates of a
weakly coupled D-brane system, which has no event horizon, and indeed comfortably fits on the head of a pin. We show here
that, contrary to widely held beliefs, the entropy of spherically symmetric black holes can easily be dwarfed by that of stationary
multi-black-hole “molecules” of the same total charge and energy. Thus, the corresponding pin-sized D-brane systems do not
even approximately count the microstates of a single black hole, but rather those of a zoo of entropically dominant multicentered
configurations.
Fourth Award in the 2007 Essay Competition of the Gravity Research Foundation. 相似文献
9.
10.
Applying the Hamilton–Jacobi method, we investigate the Hawking radiation as tunneling from the non-stationary Vaidya–Bonner
black hole by considering the unfixed background space-time and self-gravitational interaction. The result shows the actual
radiation spectrum deviates from the purely thermal one and the tunneling rate is related not only to the change of Bekenstein–Hawking
entropy but also to the integral to the black hole mass and charge. This implies information loss is possible. 相似文献
11.
We find the existence of a quantum thermal effect, “Hawking absorption.” near the inner horizon of the Kerr–Newman black hole. Redefining the entropy, temperature, angular velocity, and electric potential of the black hole, we give a new formulation of the Bekenstein–Smarr formula. The redefined entropy vanishes for absolute zero temperature of the black hole and hence it is interpreted as the Planck absolute entropy of the KN black hole. 相似文献
12.
Recently it is shown that the Bekenstein–Hawking entropy for black holes receives logarithmic corrections due to thermodynamic fluctuations. Schwarzschild black hole which possesses a negative specific heat is thermodynamically unstable, so the entropy corrections cannot be obtained directly. In this Letter, Schwarzschild black hole will be put in the center of a spherical cavity of finite radius to achieve equilibrium with surroundings, so that a thermodynamically stable solution is obtained based on a uniformly spaced area spectrum approach. Our conclusion show that there are two correction terms for Schwarzschild black holes. The sign of the second correction term depends on the size of the cavity. 相似文献
13.
In statistical mechanics Gibbs’ paradox is avoided if the particles of a gas are assumed to be indistinguishable. The resulting
entropy then agrees with the empirically tested thermodynamic entropy up to a term proportional to the logarithm of the particle
number. We discuss here how analogous situations arise in the statistical foundation of black-hole entropy. Depending on the
underlying approach to quantum gravity, the fundamental objects to be counted have to be assumed indistinguishable or not
in order to arrive at the Bekenstein–Hawking entropy. We also show that the logarithmic corrections to this entropy, including
their signs, can be understood along the lines of standard statistical mechanics. We illustrate the general concepts within
the area quantization model of Bekenstein and Mukhanov.
Dedicated to the 60th birthday of Bahram Mashhoon. 相似文献
14.
Qing-Quan Jiang Wei Ren Jian Tang Xiao-Feng Liu 《International Journal of Theoretical Physics》2007,46(6):1449-1454
Applying the semi-classical quantum tunneling model, we have studied the Hawking radiation via tunneling from a cylindrically
symmetric black hole. The derived results show that the tunneling rate of at the event horizon of the black hole is related
to Bekenstein–Hawking entropy and the factual radiation spectrum is not strictly pure thermal, but is consistent with the
underlying unitary theory.
PACS numbers: 04.20.-s, 97.60.Lf. 相似文献
15.
Yun Soo Myung Myungseok Yoon 《The European Physical Journal C - Particles and Fields》2009,62(2):405-411
We find a new black hole in three-dimensional anti-de Sitter space by introducing an anisotropic perfect fluid inspired by
the noncommutative black hole. This is a regular black hole with two horizons. We compare the thermodynamics of this black
hole with that of a non-rotating BTZ black hole. The first-law of thermodynamics is not compatible with the Bekenstein–Hawking
entropy. 相似文献
16.
The entropy in the background of the brane-world black hole with tidal charge has been studied by using the generalized uncertainty principles. Comparing with the four-dimensional black holes, this TeV-size black hole, which contains information of the extra dimension, may increase the Bekenstein–Hawking entropy. We also show that the entropy has a negative logarithmic correction once the generalized uncertainty principles are taken into account. 相似文献
17.
Kerner and Mann’s recent research shows that the Hawking temperature and tunneling rate can be obtained by the fermion tunneling
method from the Rindler space-time and a general non-rotating black hole. In this paper, considering the tunneling particles
with spin 1/2 and taking into account the particle’s self-gravitation in the dynamical background space-time, we further improve
Kerner and Man’s fermion tunneling method to investigate Hawking radiation via tunneling from a non-static black hole with
the internal global monopole. The result shows that the tunneling rate of the non-static black hole is related to the integral
of the changing horizon besides the change of Bekenstein–Hawking entropy, which is different from the stationary cases. It
also essentially implies that the unitary is violated for the reason that the black hole is non-stationary and cannot be treated
as an isolated system. 相似文献
18.
ShuZheng Yang HuiLing Li QingQuan Jiang 《International Journal of Theoretical Physics》2006,45(5):965-972
Taking energy conservation and angular momentum conservation into account, the tunneling radiation characteristics of stationary axisymmetric Sen black hole is studied in this paper with the quantum tunneling method and the results show that the tunneling rate of particle at the event horizon of the black hole is relevant to Bekenstein–Hawking entropy and that the radiation spectrum is not strictly pure thermal.
PACS: 04.70_S, 97.60.Lf 相似文献
19.
Canonical quantum gravity has been used in the search for eigenvalue equations that could describe black holes. In this paper we choose one of the simplest of these quantum equations to show how the usual Feynman's path integral approach can be applied to get the corresponding statistical properties. We get a logarithmic correction to the Bekenstein–Hawking entropy as already obtained by other authors by other means. 相似文献
20.
Yu-Quan Yuan Xiao-Xiong Zeng Zhi-Jian Zhou Liang-Ping Jin 《General Relativity and Gravitation》2009,41(12):2771-2780
Recently, fermions tunneling beyond semiclassical approximation from an uncharged static black hole was investigated by Majhi,
which was based on the work of Banerjee and Majhi, it was found that the black hole entropy correction can be produced as
the quantum effect of a particle is taken into account. In this paper, we further extend this idea to the stationary Kerr
black hole to discuss its entropy correction. To get the corrections correctly, the proportionality parameters of quantum
corrections of action I
i
to the semiclassical action I
0 in this case are regarded as the inverse of the product of Planck Length and Planck Mass. The result shows that entropy corrections
to the stationary black hole also include the logarithmic term and inverse area term in Bekenstein–Hawking entropy beyond
semiclassical approximation. 相似文献