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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

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

This paper presents a concise review of the quantum tunneling approach to Hawking radiation, covering its theoretical foundations, extensions, and experimental efforts. We begin by outlining the Hamilton-Jacobi and Parikh-Wilczek methods,…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Sareh Eslamzadeh , Saheb Soroushfar

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

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…

Popular Physics · Physics 2018-08-29 Jorge Pinochet

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

In black hole physics, the second law of thermodynamics is generally valid whether the black hole is a static or a non-static one. Considering the universe as a thermodynamical system the second law of black hole dynamics extends to the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Subenoy Chakraborty , Nairwita Mazumder , Ritabrata Biswas

In Ho\v{r}ava and Einstein-{\AE}ther theories of modified gravity, in spite of the violation of Lorentz invariance, spherically-symmetric stationary black hole solutions possess an inner universal horizon which separates field…

General Relativity and Quantum Cosmology · Physics 2015-07-10 Florent Michel , Renaud Parentani

We investigate the tunneling phenomenon of particles through the horizon of a magnetized Ernst-like black hole. We employ the modified Lagrangian equation with the extended uncertainty principle for this black hole. We determine a tunneling…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Riasat Ali , Zunaira Akhtar , Kazuharu Bamba , M. Umar Khan

Due to the exponential high gravitational red shift near the event horizon of a black hole, it might appears that the Hawking radiation would be highly sensitive to some unknown high energy physics. To study possible deviations from the…

General Relativity and Quantum Cosmology · Physics 2017-11-08 Jun Tao , Peng Wang , Haitang Yang

We demonstrate that the implementation of the fractional and non-local Wheeler--DeWitt (WDW) equation within the context of Schwarzschild geometry leads to the emergence of a Schwarzschild--Tangherlini black hole (BH), which is uniquely…

General Relativity and Quantum Cosmology · Physics 2025-07-18 S. Jalalzadeh , H. Moradpour , G. R. Jafari , P. V. Moniz

We consider the Hawking radiation from two regular black holes, the minimal model and the noncommutative black hole. The flux of Hawking radiation is derived by applying the anomaly cancellation method proposed by Robinson and Wilczek. Two…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Wontae Kim , Hyeonjoon Shin , Myungseok Yoon

We investigate the Hawking radiation of 3+1 and 4+1 dimensional black holes in the $z = 4$ Horava-Lifshitz gravity with fermion tunnelling. It turns out that the Hawking temperatures are recovered and are in consistence with those obtained…

General Relativity and Quantum Cosmology · Physics 2010-02-11 De-You Chen , Haitang Yang , Xiao-Tao Zu

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

We study particle production in Vaidya spacetime. Using the WKB approximation, the distribution of Hawking radiation is calculated without the near-horizon approximation, which leads to finite corrections to the purely thermal spectrum. We…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Dawid Maskalaniec , Bartłomiej Sikorski

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

A two-dimensional dilatonic black hole induced by a topological soliton is exactly solvable in the scalar field theory coupled to dilaton gravity. The Hawking radiation of the black hole is studied in the one-loop approximation with the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Sung-Won Kim , Won T. Kim

These notes introduce the fundamentals of black hole geometry, the thermality of the vacuum, and the Hawking effect, in spacetime and its analogues. Stimulated emission of Hawking radiation, the trans-Planckian question, short wavelength…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Ted Jacobson

Recently, we have generalized the Bekenstein-Hawking entropy formula for black holes embedded in expanding Friedmann universes. In this letter, we begin the study of this new formula to obtain the first law of thermodynamics for dynamical…

High Energy Physics - Theory · Physics 2015-08-11 Stefano Viaggiu

In this letter, we present the first study of Hawking radiation as a tunneling process within the framework of non-commutative (NC) gauge theory of gravity. First, we reconstruct the non-commutative Schwarzschild black hole (NC SBH) within…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Abdellah Touati , Slimane Zaim