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Boost-rotation symmetric spacetimes are exceptional as they are the only exact asymptotically flat solutions to the Einstein equations describing spatially bounded sources ("point-like" particles, black holes) undergoing non-trivial motion…

General Relativity and Quantum Cosmology · Physics 2010-03-05 David Kofron , Jiri Bicak

The laws of mechanics of stationary black holes bear a close resemblance with the laws of thermodynamics. This is not only a mathematical analogy but also a physical one that helps us answer deep questions related to the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2010-07-26 Diptarka Das

The purpose of the current letter is to give some relevant clarification on the validity of the laws of thermodynamics and the stability of the horizon by scalar field scattering formalism. On the one side, the connection between the energy…

High Energy Physics - Theory · Physics 2022-07-26 H. El Moumni , J. Khalloufi , K. Masmar

The generalized second law (GSL) of black hole thermodynamics asserts the monotonic increase of the generalized entropy combining the black hole area and the entropy of quantum fields outside the horizon. Modern proofs of the GSL rely on…

High Energy Physics - Theory · Physics 2026-01-08 Antoine Rignon-Bret , Matthieu Vilatte

The problem of deriving a shock-wave geometry with cosmological constant by boosting a Schwarzschild-de Sitter (or anti-de Sitter) black hole is re-examined. Unlike previous work in the literature, we deal with the exact Schwarzschild-de…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Giampiero Esposito , Roberto Pettorino , Paolo Scudellaro

In this second part of our series of two papers, where spacetime is modelled by a graph, where Planck size quantum black holes lie on the vertices, we consider the thermodynamics of spacetime. We formulate an equation which tells in which…

General Relativity and Quantum Cosmology · Physics 2009-10-21 J. Makela

A central issue in the thermodynamics of nonsingular black holes is the apparent violation of the first law. In this work, we use 2D dilaton gravity as a simple theoretical setting to study this issue. We systematically construct a broad…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Peng Yu , Yuan Zhong

Many discussions in the literature of spacetimes with more than one Killing horizon note that some horizons have positive and some have negative surface gravities, but assign to all a positive temperature. However, the first law of…

High Energy Physics - Theory · Physics 2019-04-26 M. Cvetic , G. W. Gibbons , H. Lu , C. N. Pope

The connection between bulk and boundary thermodynamics in Einstein-Maxwell theory is well established using AdS/CFT correspondence. In the context of general higher derivative gravity coupled to a U(1) gauge field, we examine the…

High Energy Physics - Theory · Physics 2024-05-08 Gurmeet Singh Punia

The C-metric is a solution to Einstein's vacuum field equation that describes an accelerating black hole. In this paper we discuss the propagation of light rays and the resulting lensing features in this metric. We first solve the lightlike…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Torben C. Frost , Volker Perlick

By respecting the conformal symmetry of the dual CFT, and treating the conformal factor of the AdS boundary as a thermodynamic parameter, we formulate the holographic first law that is exactly dual to the first law of extended black hole…

High Energy Physics - Theory · Physics 2023-02-22 Moaathe Belhaj Ahmed , Wan Cong , David Kubizňák , Robert B. Mann , Manus R. Visser

After studying the energy-momentum relation of charged particles' Hamilton-Jacobi equations, we discuss the laws of thermodynamics and the weak cosmic censorship conjecture in torus-like black holes. We find that both the first law of…

High Energy Physics - Theory · Physics 2019-05-01 Yi-Wen Han , Xiao-Xiong Zeng , Yun Hong

We continue to explore the scaling transformation in the reduced action formalism of gravity models. As an extension of our construction, we consider the extended forms of the Smarr relation for various black holes, adopting the…

High Energy Physics - Theory · Physics 2017-04-18 Seungjoon Hyun , Jaehoon Jeong , Sang-A Park , Sang-Heon Yi

The nonextensive nature of black holes is one of the most intriguing discoveries. In fact, the black hole entropy is a nonextensive quantity that scales by its surface area at the event horizon. In our work, we extend the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Ratchaphat Nakarachinda , Chatchai Promsiri , Lunchakorn Tannukij , Pitayuth Wongjun

In this presentation, I review recent work with Mike Appels and David Kubiznak on thermodynamics of accelerating black holes. I start by reviewing the geometry of accelerating black holes, focussing on the conical deficit responsible for…

High Energy Physics - Theory · Physics 2018-01-17 Ruth Gregory

In this paper, the effect of the space-time dimension on effective thermodynamic quantities in (n+2)-dimensional Reissoner-Nordstrom-de Sitter space has been stud ied. Based on derived effective thermodynamic quantities, conditions for the…

High Energy Physics - Theory · Physics 2020-04-16 Yang Zhang , Wen-qi Wang , Yu-bo Ma , Jun Wang

Black hole thermodynamics provides a rare window into the elusive quantum nature of gravity. In the first-order formalism for gravitational theories, where torsion and gauge freedom are present, it has been suggested that the first law of…

General Relativity and Quantum Cosmology · Physics 2025-12-15 O. Ramirez , Y. Bonder

The particle acceleration mechanism in $S^2 \times\mathbb{R}^1$ topology, namely in the spacetime of the five-dimensional compact black string has been studied. The expression of center-of-mass energy of the colliding neutral particles near…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Arman Tursunov , Martin Kološ , Ahmadjon Abdujabbarov , Bobomurat Ahmedov , Zdeněk Stuchlík

By using the scattering of a scalar field, we discuss the thermodynamics and overcharging problem in a 4D Gauss-Bonnet AdS black hole in both the normal phase space and extended phase space. In the normal phase space, where the cosmological…

General Relativity and Quantum Cosmology · Physics 2020-11-03 Benrong Mu , Jing Liang , Xiaobo Guo

We present black hole uniqueness theorems for the C-metric and Ernst solution. The proof follows a similar strategy as that used to prove the uniqueness of the Kerr-Newman solution, however the presence of an acceleration horizon provides…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Clive G. Wells