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These lecture notes are an elementary and pedagogical introduction to the black hole evaporation, based on a lecture given by the author at the Ninth Modave Summer School in Mathematical Physics and are intended for PhD students. First,…

General Relativity and Quantum Cosmology · Physics 2014-01-17 Pierre-Henry Lambert

In the first part of this thesis the relativistic viscous fluid equations describing the outflow of high temperature matter created via Hawking radiation from microscopic black holes are solved numerically for a realistic equation of state.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ramin G. Daghigh

We established the equivalence between the local Hawking temperature measured by the time-like Killing observer located at some positions $r$ with finite distances from the outer horizon $r_+$ in the 5-dimensional spinning black hole space…

High Energy Physics - Theory · Physics 2012-01-11 Huai-Fan Li , Bin Hu

We obtain a black hole solution in the Einstein-Gauss-Bonnet theory for the string cloud model in a five dimensional spacetime. We analyze the event horizons and naked singularities. Later, we compute the Hawking temperature…

High Energy Physics - Theory · Physics 2016-08-14 Estanislao Herscovich , Martín G. Richarte

This is a short note on the black hole remote-sensing problem, i.e., finding out `surface' temperature distributions of various types of small (micron-sized) black holes from the spectral measurements of their Hawking grey pulses. Chen's…

General Relativity and Quantum Cosmology · Physics 2009-10-22 H. C. Rosu

We discuss in detail the semiclassical approximation for the CGHS model of two-dimensional dilatonic black holes. This is achieved by a formal expansion of the full Wheeler-DeWitt equation and the momentum constraint in powers of the…

High Energy Physics - Theory · Physics 2016-09-06 J. -G. Demers , C. Kiefer

In the present paper we explore the Hawking radiation as a quantum tunneling effect from a rotating 5 dimensional Myers-Perry black hole (5D-MPBH) with two independent angular momentum components. First, we investigate the Hawking…

General Relativity and Quantum Cosmology · Physics 2017-05-12 Kimet Jusufi , Ali Övgün

This paper employs Laurent series expansions and the Robson--Villari--Biancalana (RVB) method to provide a refined derivation of the Hawking temperature for two newly introduced topological black hole solutions. Previous calculations have…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Winston Chen , Yao-Guang Zheng

Newtonian gravitation with some slight modifications, along with some highly simplified ideas from quantum field theory allow us to reproduce, at least at the level of back-of-the-envelope calculations, many results of black hole physics.…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Aldo Martínez-Merino , Octavio Obregón , Michael P. Ryan

In this paper we determine the Hawking temperature and entropy of a modified canonical acoustic black hole. In our results we obtain an entropy-area relation that has a logarithmic correction term in leading order. We also analyze the…

High Energy Physics - Theory · Physics 2023-06-06 M. A. Anacleto , F. A. Brito , E. Passos

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

The conformal invariance of the Hawking temperature, conjectured for the asymptotically flat and stationary black holes by Jacobson and Kang, is semiclassically evaluated for a simple particular case of symmetrical spherically and non…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Glauber Tadaiesky Marques , Manuel E. Rodrigues

We study a black hole with a blurred mass density instead of a singular one, which is caused by the noncommutativity of 3-space. Depending on its mass, such object has either none, one or two event horizons. It possesses properties, which…

General Relativity and Quantum Cosmology · Physics 2017-08-31 Samuel Kováčik

This study examines the properties of a special regular black hole. This analysis investigates the Hawking temperature, remnant radius and mass, as well as the effect of parameter $\xi$ on thermodynamic quantities like entropy, heat…

General Relativity and Quantum Cosmology · Physics 2024-08-12 MY Zhang , F Hosseinifar , H Chen , T Sathiyaraj , H Hassanabadi

Applying the Hamilton--Jacobi method we investigate the tunneling of photon across the event horizon of a static spherically symmetric black hole. The necessity of the gauge condition on the photon field, to derive the semiclassical Hawking…

High Energy Physics - Theory · Physics 2010-09-06 Bibhas Ranjan Majhi , Saurav Samanta

We review the present status of black hole thermodynamics. Our review includes discussion of classical black hole thermodynamics, Hawking radiation from black holes, the generalized second law, and the issue of entropy bounds. A brief…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Robert M. Wald

We discuss Hawking radiation from a five-dimensional squashed Kaluza-Klein black hole on the basis of the tunneling mechanism. A simple manner, which was recently suggested by Umetsu, is possible to extend the original derivation by Parikh…

High Energy Physics - Theory · Physics 2011-03-21 Ken Matsuno , Koichiro Umetsu

In this paper, we investigate the thermodynamic and radiative properties of a regular black hole sourced by a dark matter halo described by the Einasto density profile. The closed-form expressions for the Hawking temperature, specific heat…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Faizuddin Ahmed , Edilberto O. Silva

Black holes are thermodynamic objects, but despite recent progress, the ultimate statistical mechanical origin of black hole temperature and entropy remains mysterious. Here I summarize an approach in which the entropy is viewed as arising…

General Relativity and Quantum Cosmology · Physics 2010-04-28 Steven Carlip

Motivated by exploring the interface between thermodynamics of spacetime and quantum gravity effects, we develop a heuristic derivation of Hawking temperature and Bekenstein entropy from the existence of a minimal resolvable area. Moreover,…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Ana Alonso-Serrano , Marek Liška