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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…

广义相对论与量子宇宙学 · 物理学 2020-04-17 Fabio Scardigli

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…

广义相对论与量子宇宙学 · 物理学 2023-09-29 Chiranjeeb Singha , Pritam Nanda , Pabitra Tripathy

We propose intuitive derivations of the Hawking temperature and the Bekenstein-Hawking entropy of a Schwarzschild black hole.

广义相对论与量子宇宙学 · 物理学 2007-05-23 P. R. Silva

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…

广义相对论与量子宇宙学 · 物理学 2010-12-09 Chikun Ding , Mengjie Wang , Jiliang Jing

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…

高能物理 - 理论 · 物理学 2008-09-17 Terry Pilling

We provide two novel ways to compute the surface gravity ($\kappa$) and the Hawking temperature $(T_{H})$ of a stationary black hole: in the first method $T_{H}$ is given as the three-volume integral of the Gauss-Bonnet invariant (or the…

广义相对论与量子宇宙学 · 物理学 2023-05-31 Emel Altas , Bayram Tekin

It was found that, in an isotropic coordinate system, the tunneling approach brings a factor of 1/2 for the Hawking temperature of a Schwarzschild black hole. In this paper, we address this kind of problem by studying the relation between…

广义相对论与量子宇宙学 · 物理学 2010-01-19 Chikun Ding , Jiliang Jing

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…

高能物理 - 理论 · 物理学 2008-11-26 Rabin Banerjee , Bibhas Ranjan Majhi , Saurav Samanta

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.…

广义相对论与量子宇宙学 · 物理学 2009-02-11 S. A. Hayward , R. Di Criscienzo , M. Nadalini , L. Vanzo , S. Zerbini

A $(3+1)$-dimensional asymptotically flat Kerr black hole angular speed $\Omega_+$ can be used to define an effective spring constant, $k=m\Omega_+^2$. Its maximum value is the Schwarzschild surface gravity, $k = \kappa $, which rapidly…

广义相对论与量子宇宙学 · 物理学 2015-02-25 Michael R. R. Good , Yen Chin Ong

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…

高能物理 - 理论 · 物理学 2023-08-17 A. Övgün , İ. Sakallı

Attempts to understand Hawking radiation as tunnelling across a black hole horizon require the consideration of singular integrals. Although Schwarzschild coordinates lead to the standard Hawking temperature, isotropic radial coordinates…

广义相对论与量子宇宙学 · 物理学 2014-05-22 Bhramar Chatterjee , P. Mitra

The Hawking temperature for Schwarzschild black hole $T_H=1/8\pi M$ is singular in the limit of vanishing mass $M\to 0$. However, the Schwarzschild metric itself is regular in this limit, it is reduced to the Minkowski metric and there are…

高能物理 - 理论 · 物理学 2021-04-27 Irina Aref'eva , Igor Volovich

In this letter we study the process of Hawking radiation of a black hole assuming the existence of a limiting physical curvature scale. The particular model is constructed using the Limiting Curvature Hypothesis (LCH) and in the context of…

高能物理 - 理论 · 物理学 2014-11-18 Damien A. Easson

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…

广义相对论与量子宇宙学 · 物理学 2023-02-14 Sunandan Gangopadhyay , Soham Sen , Rituparna Mandal

We extend the derivation of the Hawking temperature of a Schwarzschild black hole via the Heisenberg uncertainty principle to the de Sitter and anti-de Sitter spacetimes. The thermodynamics of the Schwarzschild-(anti-)de Sitter black holes…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Brett Bolen , Marco Cavaglia

In 1974, Stephen Hawking theoretically discovered that black holes emit thermal radiation and have a characteristic temperature, known as the Hawking temperature. The aim of this paper is to present a simple heuristic derivation of the…

科普物理 · 物理学 2018-08-29 Jorge Pinochet

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…

高能物理 - 理论 · 物理学 2008-11-26 Mu-in Park

It has recently been suggested that the attempt to understand Hawking radiation as tunnelling across black hole horizons produces a Hawking temperature double the standard value. It is explained here how one can obtain the standard value in…

高能物理 - 理论 · 物理学 2008-11-26 P. Mitra

Using the analytical solution for the Schwarzschild metric containing supertranslation field, we consider two main ingredients of calculation of the thermal Hawking black hole radiation: solution for eigenmodes of the d'Alambertian and…

高能物理 - 理论 · 物理学 2018-03-14 Mikhail Z. Iofa
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