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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 tunneling formalism in the Hamilton-Jacobi approach is adopted to study Hawking radiation of massless Dirac particles from spherically symmetric black hole spacetimes incorporating the effects of the generalized uncertainty principle.…

General Relativity and Quantum Cosmology · Physics 2016-01-05 Sunandan Gangopadhyay

In this work, incorporating the effect of the minimum measurable in momentum and maximal length, we studied thermodynamics property of Schwarzschild black hole and the Unruh effect. {\color{red} According to this scenario, we see that the…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Bilel Hamil , Bekir Can Lütfüoğlu

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

The modified first laws of thermodynamics at the black hole horizon and the cosmological horizon of the Schwarzschild de Sitter black hole and the apparent horizon of the Friedmann-Robertson-Walker cosmology are derived by the surface…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Deyou Chen , Xiaoxiong Zeng

Recently, exotic black holes whose masses and angular momenta are interchanged have been found, and it is known that their entropies depend only on the $inner$ horizon areas. But a basic problem of these entropies is that the second law of…

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

By reintroducing Lorentz invariance in canonical loop quantum gravity, we define a geometrical notion of temperature for quantum isolated horizons. This is done by demanding that the horizon state satisfying the boundary conditions be a…

General Relativity and Quantum Cosmology · Physics 2014-06-04 Daniele Pranzetti

A nontrivial peculiarity of general relativity is that when the horizon region of black holes is rendered harmless, the exterior doubles, resulting in a causally disconnected parallel universe. This intricacy plays a central role in 't…

High Energy Physics - Theory · Physics 2026-01-06 Abram Akal

Thermodynamics on the cosmological apparent horizon of a flat Friedmann-Lemaitre-Robertson-Walker metric has been investigated with Bekenstein entropy and Hawking temperature on the horizon, and Unruh temperature for the fluid inside the…

General Relativity and Quantum Cosmology · Physics 2016-07-15 Subhajit Saha

Using the extended forms of the Heisenberg uncertainty principle from string theory and the quantum gravity theory, we drived Hawking temperature of a Taub-Nut-(A)dS black hole. In spite of their distinctive natures such as asymptotically…

High Energy Physics - Theory · Physics 2011-02-23 Seyen Kouwn , Chong Oh Lee , Phillial Oh

We establish a connection between the trace anomaly and a thermal radiation in the context of the standard cosmology. This is done by solving the covariant conservation equation of the stress tensor associated with a conformally invariant…

High Energy Physics - Theory · Physics 2009-11-10 Yousef Bisabr

Hawking effect from the Kinnersley spacetime is investigated using the improved Damour-Ruffini method with a new coordinate transformation. Hawking temperature of the horizons can be obtained point by point. It is found that Hawking…

General Relativity and Quantum Cosmology · Physics 2010-03-16 Jian Yang , Zheng Zhao , Wenbiao Liu

A semi-classical reasoning leads to the non-commutativity of the space and time coordinates near the horizon of Schwarzschild black hole. This non-commutativity in turn provides a mechanism to interpret the brick wall thickness hypothesis…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hua Bai , Mu-Lin Yan

An accelerating observer sees a thermal bath of radiation at the Hawking temperature which is proportional to the acceleration. Also, in string theory there is a Hagedorn temperature beyond which one cannot go without an infinite amount of…

High Energy Physics - Theory · Physics 2011-07-19 Michael McGuigan

Building on the idea of Tolman and Ehrenfest that heat has weight, Luttinger established a deep connection between gravitational fields and thermal transport. However, this relation does not include anomalous quantum fluctuations that…

Statistical Mechanics · Physics 2024-09-06 Baptiste Bermond , Maxim Chernodub , Adolfo G. Grushin , David Carpentier

Here we analyze the Hawking radiation detected by an inertial observer in an arbitrary position in a Reissner-Nordstr\"om spacetime, with special emphasis on the asymptotic behavior of the Hawking spectrum as an observer approaches the…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Tyler McMaken , Andrew J. S. Hamilton

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

There are several well-established methods for computing thermodynamics in single-horizon spacetimes. However, understanding thermodynamics becomes particularly important when dealing with spacetimes with multiple horizons. Multiple…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Chiranjeeb Singha , Pritam Nanda , Pabitra Tripathy

We derive the entropic force in the presence of the Schwarzschild black hole by using the local equipartition rule and holographic principle. On the other hand, when using the Tolman temperature, one does not arrive at the Newtonian force…

High Energy Physics - Theory · Physics 2010-02-05 Yun Soo Myung

We use a method recently introduced in Barcel\'o et al (2011 Phys. Rev. D 83 41501), to analyse Hawking radiation in a Schwarzschild black hole as perceived by different observers in the system. The method is based on the introduction of an…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Luis C. Barbado , Carlos Barceló , Luis J. Garay