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It has been recently shown that the contribution between the horizons determines the Hawking temperature for a multi-horizon spacetime. In this article, we apply the Hamiltonian Jacobi method to compute the Hawking temperature for some…

General Relativity and Quantum Cosmology · Physics 2023-05-02 Chiranjeeb Singha , Pritam Nanda , Pabitra Tripathy

The Hawking temperature of a Schwarzschild black hole can be heuristically derived by identifying the temperature with the inverse radius of the horizon up to a multiplicative constant. This does not work for more general black holes such…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Michael R. R. Good , Yen Chin Ong

In this paper, we study the Hawking temperature of the BTZ black hole based on the purely topological method proposed by Robson, Villari, and Biancalana (RVB) [Phys. Rev. D 99, 044042 (2019)]. The Hawking temperature of the charged rotating…

General Relativity and Quantum Cosmology · Physics 2022-04-22 Yu-Peng Zhang , Shao-Wen Wei , Yu-Xiao Liu

It has been widely believed that the Hawking temperature for a black hole is $uniquely$ determined by its metric and $positive$. But, I find that this does ``not'' seem to be true in the recently discovered black holes which include the…

High Energy Physics - Theory · Physics 2008-11-26 Mu-in Park

There exist several well-established procedures for computing thermodynamics for a single horizon spacetime. However, for a spacetime with multi-horizon, the thermodynamics is not very clear. It is not fully understood whether there exists…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Chiranjeeb Singha

A local Hawking temperature is derived for any future outer trapping horizon in spherical symmetry, using a Hamilton-Jacobi variant of the Parikh-Wilczek tunneling method. It is given by a dynamical surface gravity as defined geometrically.…

General Relativity and Quantum Cosmology · Physics 2009-02-11 S. A. Hayward , R. Di Criscienzo , M. Nadalini , L. Vanzo , S. Zerbini

Hawking temperature is computed for a large class of black holes (with spherical, toroidal and hyperboloidal topologies) using only laws of classical physics plus the "classical" Heisenberg Uncertainty Principle. This principle is shown to…

General Relativity and Quantum Cosmology · Physics 2020-04-17 Fabio Scardigli

Some authors have recently found that the tunneling approach gives a different Hawking temperature for a Schwarzschild black hole in a different coordinate system. In this paper, we find that to work out the Hawking temperature in a…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Chikun Ding , Mengjie Wang , Jiliang Jing

The absence of a true thermodynamical equilibrium for an observer located in the causal area of a Schwarzschild-de Sitter spacetime has repeatedly raised the question of the correct definition of its temperature. In this work, we consider…

High Energy Physics - Theory · Physics 2017-08-02 Panagiota Kanti , Thomas Pappas

We present the thermodynamics of a charged and rotating BTZ black holes here. In particular, we derive expressions for various macroscopic thermal quantities such as entropy, Hawking temperature, Helmholtz free energy, internal energy,…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Sudhaker Upadhyay , Nadeem-ul-islam , Prince A. Ganai

In completely local settings, we establish that a dynamically evolving black hole horizon can be assigned a Hawking temperature. Moreover, we calculate the Hawking flux and show that the radius of the horizon shrinks.

General Relativity and Quantum Cosmology · Physics 2015-06-04 Ayan Chatterjee , Bhramar Chatterjee , Amit Ghosh

In this work we determine how the description of a four-dimensional Schwarzschild-anti de Sitter black hole affects the topological calculation of its Hawking temperature. It is shown that a two-dimensional approach is required due to the…

General Relativity and Quantum Cosmology · Physics 2019-03-13 Charles W. Robson , Leone Di Mauro Villari , Fabio Biancalana

The constant curvature (CC) black holes are higher dimensional generalizations of BTZ black holes. It is known that these black holes have the unusual topology of ${\cal M}_{D-1}\times S^1$, where $D$ is the spacetime dimension and ${\cal…

High Energy Physics - Theory · Physics 2011-05-13 Rong-Gen Cai , Yun Soo Myung

The Hawking temperature for the Schwarzschild black hole is divergent when the mass of the black hole vanishes; however the corresponding geometry becomes the Minkowski spacetime whose intrinsic temperature is zero. In connection with this…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Myungseok Eune , Yongwan Gim , Wontae Kim

A local Hawking temperature was recently derived for any future outer trapping horizon in spherical symmetry, using a Hamilton-Jacobi tunneling method, and is given by a dynamical surface gravity as defined geometrically. Descriptions are…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Sean A. Hayward , R. Di Criscienzo , M. Nadalini , L. Vanzo , S. Zerbini

We have computed the thermodynamic properties of a rotating black holes in the presence of cold dark matter. The dependence of temperaure, Gibbs free energy, specific heat on the horizon radius have been studied for various values of…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Swapan Kumar Majhi

The double Hawking temperature $T=2T_H$ appears in some approaches to the Hawking radiation, when the radiation is considered in terms of the quantum tunneling. We consider the origin of such temperature for the black hole horizon and also…

General Relativity and Quantum Cosmology · Physics 2022-11-01 G. E. Volovik

For black holes with more than one horizon, the existence of a global temperature is not fully understood. This can affect the thermodynamics of these black holes to be unclear. In this paper, using the method of quantum tunneling, we find…

General Relativity and Quantum Cosmology · Physics 2023-12-21 Sanam Azarnia , S. Sedigheh Hashemi

The thermodynamics of black holes is shown to be directly induced by their near-horizon conformal invariance. This behavior is exhibited using a scalar field as a probe of the black hole gravitational background, for a general class of…

High Energy Physics - Theory · Physics 2009-09-29 Horacio E. Camblong , Carlos R. Ordonez

In this work we determine that the Hawking temperature of black holes possesses a purely topological nature. We find a very simple but powerful formula, based on a topological invariant known as the Euler characteristic, which is able to…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Charles W. Robson , Leone Di Mauro Villari , Fabio Biancalana
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