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We discuss the Hawking temperature of near-equilibrium black holes using a semiclassical analysis. We introduce a useful expansion method for slowly evolving spacetime, and evaluate the Bogoliubov coefficients using the saddle point…

High Energy Physics - Theory · Physics 2012-01-31 Shunichiro Kinoshita , Norihiro Tanahashi

It is shown that the surface gravity and temperature of a stationary black hole are invariant under conformal transformations of the metric that are the identity at infinity. More precisely, we find a conformal invariant definition of the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Ted Jacobson , Gungwon Kang

In this second part of our two-series on extracting the Hawking temperature of dynamical black holes, we focus into spacetimes that are conformal transformations of static spacetimes. Our previous investigation builds upon the Unruh-Hawking…

General Relativity and Quantum Cosmology · Physics 2024-08-08 Pravin Kumar Dahal , Swayamsiddha Maharana

The present paper deals with a reformulation of the derivation of Hawking temperature for static and stationary black holes. In contrast to the conventional approach, where the covariant form of the metrics are used, we use the manifestly…

General Relativity and Quantum Cosmology · Physics 2020-08-24 Avijit Bera , Subir Ghosh , Bibhas Ranjan Majhi

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

The rotating linear dilatonic black hole is an asymptotically non-flat solution to Einstein-Maxwell-Dilaton-Axion gravity theory due to the existence of non-trivial matter fields. We have analytically studied the wave equation of scalar…

High Energy Physics - Theory · Physics 2013-04-29 Ran Li

The $d$-dimensional scalar field action may be reduced, in the background geometry of a black hole, to a 2-dimensional effective action. In the near horizon region, it appears a gravitational anomaly: the energy-momentum tensor of the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 J. C. Fabris , G. T. Marques

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

We give a general derivation, for any static spherically symmetric metric, of the relation $T_h=\frac{\cal K}{2\pi}$ connecting the black hole temperature ($T_h$) with the surface gravity ($\cal K$), following the tunneling interpretation…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee , Bibhas Ranjan Majhi , Saurav Samanta

The semi-classical derivation of Hawking radiation for axially symmetric, stationary spacetimes with a Killing horizon is examined following the recent quasi-classical tunneling analysis and a simple formula is found for the inverse Hawking…

High Energy Physics - Theory · Physics 2008-09-17 Terry Pilling

By studying the Hawking radiation of the most general static spherically symmetric black hole arising from scalar and Dirac particles tunnelling, we find the Hawking temperature is invariant in the general coordinate representation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chikun Ding , Jiliang Jing

In this article, we discuss the propagation of scalar fields in conformally transformed spacetimes with either minimal or conformal coupling. The conformally coupled equation of motion is transformed into a one-dimensional…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Mohamadreza Fazel , Behrouz Mirza , Seyed Ali Hosseini Mansoori

In this paper, we apply the topological method to the various black holes to derive their Hawking temperature. We show that the this method can easily be employed to compute the Hawking temperature of black holes having spherically…

High Energy Physics - Theory · Physics 2023-08-17 A. Övgün , İ. Sakallı

Area spectrum of black holes have been obtained via various methods such as quasinormal modes, adiabatic invariance and angular momentum. Among those methods, calculations were done by assuming black holes in thermal equilibrium.…

General Relativity and Quantum Cosmology · Physics 2015-02-24 Wen-Yu Wen

We exactly calculate the thermal distribution and temperature of Hawking radiation for a two-dimensional charged dilatonic black hole after it has settled down to an "equilibrium" state. The calculation is carried out using the Bogoliubov…

High Energy Physics - Theory · Physics 2008-11-26 T. Christodoulakis , G. A. Diamandis , B. C. Georgalas , E. C. Vagenas

We explore the method of Robinson and Wilczek for deriving the Hawking temperature of a black hole. In this method, the Hawking radiation restores general covariance in an effective theory of near-horizon physics which otherwise exhibits a…

High Energy Physics - Theory · Physics 2008-11-26 Saurya Das , Sean P. Robinson , Elias C. Vagenas

The greybody factor and the Hawking temperature for a class of asymptotically flat charged dilatonic black holes are computed by using the low-energy dynamics of scalar fields in the black hole background. In the semi-classical…

High Energy Physics - Theory · Physics 2011-08-31 Wontae Kim , John J. Oh

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

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 work, we calculate the Hawking temperature for a quantum corrected black hole geometry using the $reflection$ $from$ $the$ $horizon$ method. We observe that quantum gravity corrections indeed show up in the Hawking temperature…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Sunandan Gangopadhyay , Soham Sen , Rituparna Mandal
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