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We derive a general relation between the ground state entanglement Hamiltonian and the physical stress tensor within the path integral formalism. For spherical entangling surfaces in a CFT, we reproduce the \emph{local} ground state…

High Energy Physics - Theory · Physics 2014-05-05 Gabriel Wong , Israel Klich , Leopoldo A. Pando Zayas , Diana Vaman

We quantize a scalar field at finite temperature T in the background of a classical black hole, adopting 't Hooft's ``brick wall'' model with generic mixed boundary conditions at the brick wall boundary. We first focus on the exactly…

High Energy Physics - Theory · Physics 2007-05-23 Giuseppe Milanesi , Mihail Mintchev

In this paper, we investigate the entanglement entropy for the generalized charged BTZ black hole through the $AdS_{3}/CFT_{2}$ correspondence. Using the holographic description of the entanglement entropy for the strip-subsystem in…

General Relativity and Quantum Cosmology · Physics 2016-05-03 Seyed Ali Hosseini Mansoori , Behrouz Mirza , Mahdi Davoudi Darareh , Sharooz Janbaz

We extend previous efforts to quantify the entanglement generated in Hawking's evaporation process by including rotation and thermal environments (e.g. the cosmic microwave background). Both extensions are needed to describe real black…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Ivan Agullo , Anthony J. Brady , Adrià Delhom , Dimitrios Kranas

The comparison of geometrical properties of black holes with classical thermodynamic variables reveals surprising parallels between the laws of black hole mechanics and the laws of thermodynamics. Since Hawking's discovery that black holes…

History and Philosophy of Physics · Physics 2019-03-18 Carina E. A. Prunkl , Christopher G. Timpson

We investigate the thermodynamics of regular black hole configurations via quantum analogs of entropy and energy -- namely, the entanglement entropy and entanglement energy -- near the event horizon of Bardeen and Hayward black holes.…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Alessio Belfiglio , S. Mahesh Chandran , Orlando Luongo , Stefano Mancini

It was shown recently that, in the case of Schwarschild black hole, one can obtain the correct thermodynamic relations by studying a model quantum system and using a particular duality transformation. We study this approach further for the…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Sudipta Sarkar , T. Padmanabhan

The effect of the Hawking temperature on the entanglement and teleportation for the scalar field in a most general, static and asymptotically flat black hole with spherical symmetry has been investigated. It is shown that the same "initial…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Qiyuan Pan , Jiliang Jing

The study of black hole thermodynamics becomes a central topic in gravitational physics, where the first law and the Smarr relation establish a deep connection between spacetime geometry and thermodynamic laws. As we know, these relations…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Usman Zafar , Krishnakanta Bhattacharya , Kazuharu Bamba

We present a general argument showing that the temperature as well as other thermodynamical state variables can qualify as entanglement witnesses for spatial entanglement. This holds for a variety of systems and we exemplify our ideas using…

Quantum Physics · Physics 2007-05-23 Janet Anders , Dagomir Kaszlikowski , Christian Lunkes , Toshio Ohshima , Vlatko Vedral

The thermodynamics of ``horizon brightened acceleration radiation'' (HBAR), due to a random atomic cloud freely falling into a black hole in a Boulware-like vacuum, is shown to mimic the thermodynamics of the black hole itself. The…

General Relativity and Quantum Cosmology · Physics 2025-01-03 A. Azizi , H. E. Camblong , A. Chakraborty , C. R. Ordonez , M. O. Scully

Extending the analysis in our previous paper, we construct the entanglement thermodynamics for a massless scalar field on the Schwarzschild spacetime. Contrary to the flat case, the entanglement energy $E_{ent}$ turns out to be proportional…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shinji Mukohyama , Masafumi Seriu , Hideo Kodama

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

We argue that the entanglement entropy for a very small subsystem obeys a property which is analogous to the first law of thermodynamics when we excite the system. In relativistic setups, its effective temperature is proportional to the…

High Energy Physics - Theory · Physics 2013-03-14 Jyotirmoy Bhattacharya , Masahiro Nozaki , Tadashi Takayanagi , Tomonori Ugajin

We show that the entropy of any black object in any dimension can be understood as the entropy of a highly excited string on the stretched horizon. The string has a gravitationally renormalized tension due to the large redshift near the…

High Energy Physics - Theory · Physics 2010-02-03 Edi Halyo

The thermodynamic properties of self-gravitating spherical thin matter shells an black holes in $d>4$ dimensions are studied, extending previous analysis for $d=4$. The shell joins a Minkowski interior to a Tangherlini exterior, i.e., a…

High Energy Physics - Theory · Physics 2019-07-03 Rui André , José P. S. Lemos , Gonçalo M. Quinta

In this work, we present an extensive analysis of the thermodynamics and holographic properties of three-dimensional C-metrics in the FG gauge, where we find that the free energy is equal to the Euclidean on-shell action with a generic…

High Energy Physics - Theory · Physics 2024-01-10 Jia Tian , Tengzhou Lai

In this paper, we have investigated the entanglement thermodynamics for $d$-dimensional charged $AdS$ black hole by studying the holographic entanglement entropy in different cases. We have first computed the holographic entanglement…

High Energy Physics - Theory · Physics 2018-12-03 Sourav Karar , Debabrata Ghorai , Sunandan Gangopadhyay

We study analytically quantum tunneling of relativistic and non-relativistic particles at both Killing and universal horizons of Einstein-Maxwell-aether black holes, after high-order curvature corrections are taken into account, for which…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Chikun Ding , Anzhong Wang , Xinwen Wang , Tao Zhu

Based on the entropy relations, we derive thermodynamic bound for entropy and area of horizons of Schwarzschild-dS black hole, including the event horizon, Cauchy horizon and negative horizon (i.e. the horizon with negative value), which…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Wei Xu , Jia Wang , Xin-he Meng