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Related papers: Energy conservation for dynamical black holes

200 papers

A general definition of a black hole is given, and general `laws of black-hole dynamics' derived. The definition involves something similar to an apparent horizon, a trapping horizon, defined as a hypersurface foliated by marginal surfaces…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Sean A. Hayward

We work on the relation between the local thermodynamic instability and the dynamical instability of large black holes in four-dimensional anti-de Sitter space proposed by Gubser and Mitra. We find that all perturbations suppressing the…

High Energy Physics - Theory · Physics 2007-05-23 SangChul Yoon

We discuss the thermodynamics of an array of collinear black holes which may be accelerating. We prove a general First Law, including variations in the tensions of strings linking and accelerating the black holes. We analyse the…

General Relativity and Quantum Cosmology · Physics 2021-01-01 Ruth Gregory , Zheng Liang Lim , Andrew Scoins

These notes provide a self-contained introduction to the derivation of the zero, first and second laws of black hole mechanics. The prerequisite conservation laws in gauge and gravity theories are also briefly discussed. An explicit…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Geoffrey Compere

Recently, it has been discovered that the nonlinear self-interaction of matter can induce energy extraction from black holes beyond superradiant instability. This process is closely associated with the occurrence of a dynamical first-order…

General Relativity and Quantum Cosmology · Physics 2025-03-20 Cheng-Yong Zhang , Zehong Zhang , Ruifeng Zheng

We consider the C-metric as a gravitational field configuration that describes an accelerating black hole in the presence of a semi-infinite cosmic string, along the accelerating direction. We adopt the expression for the gravitational…

General Relativity and Quantum Cosmology · Physics 2022-11-30 F. L. Carneiro , S. C. Ulhoa , J. W. Maluf

We investigated the form and implications of the local first law of black hole thermodynamics in relation to an observer located at a finite distance from the black hole horizon. Our study is based on the quasilocal form of the first law…

General Relativity and Quantum Cosmology · Physics 2024-05-08 Pabitra Tripathy , Pritam Nanda , Amit Ghosh

In previous work, a first law of generalized entropy was derived from semiclassical gravitational dynamics around thermal setups using an assumed relation between the matter modular Hamiltonian and the gravitational stress tensor. Allowing…

High Energy Physics - Theory · Physics 2022-04-27 Hong Zhe Chen

We generalize the first law of black hole mechanics to the rotating, charged C-metric and to the Ernst metric, both of which have the charged C-metric as a special case. All of these metrics are (3+1)-dimensional, have vanishing…

High Energy Physics - Theory · Physics 2021-09-16 Adam Ball

Recently we have shown [1604.08812] how to formulate a thermodynamic first law for a single (charged) accelerated black hole in AdS space by fixing the conical deficit angles present in the spacetime. Here we show how to generalise this…

High Energy Physics - Theory · Physics 2017-08-23 Michael Appels , Ruth Gregory , David Kubiznak

We present an analytic, perturbative solution to the Einstein equations with a scalar field that describes dynamical black holes in a slow-roll inflationary cosmology. We show that the metric evolves quasi-statically through a sequence of…

High Energy Physics - Theory · Physics 2018-07-25 Ruth Gregory , David Kastor , Jennie Traschen

This study examines a recently hypothesized black hole, which is a perfect solution of metric-affine gravity with a positive cosmological constant, and its thermodynamic features as well as the Joule-Thomson expansion. We develop some…

General Relativity and Quantum Cosmology · Physics 2024-01-03 Muhammad Yasir , Xia Tiecheng , Faisal Javed , G. Mustafa

We show generically that the dynamics of a probe particle near the event horizon of a non-extreme black hole is described by the tachyon effective action. The Hagedorn temperature in the action is always equal to the Hawking temperature of…

High Energy Physics - Theory · Physics 2024-09-25 Huiquan Li

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 thermodynamic properties of black holes have been extensively studied through analogies with classical systems, revealing fundamental connections between gravitation, entropy, and quantum mechanics. In this work, we extend the…

General Relativity and Quantum Cosmology · Physics 2026-02-26 S. D Campos

We construct a covariant phase space for Einstein gravity in dimensions d>=4 with negative cosmological constant, describing black holes in local equilibrium. Thus, space-times under consideration are asymptotically anti-de Sitter and admit…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Abhay Ashtekar , Tomasz Pawlowski , Chris Van Den Broeck

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

The seminal works of Bekenstein and Hawking have revealed that black holes have a well-defined thermodynamic description. In particular, it is often stated in the physical literature that black holes, like mundane physical systems, obey the…

High Energy Physics - Theory · Physics 2016-08-22 Shahar Hod

In this paper we study the modification of thermodynamic properties of Schwarzschild and Reissner-Nordstr\"{o}m black hole in the framework of generalized uncertainty principle with correction terms upto fourth order in momentum…

General Physics · Physics 2018-06-11 Sunandan Gangopadhyay , Abhijit Dutta

Employing higher curvature corrections to Einstein--Maxwell gravity has garnered a great deal of attention motivated by the high energy regime in quantum nature of black hole physics. In addition, one may employ gravity's rainbow to encode…

High Energy Physics - Theory · Physics 2018-04-30 S. H. Hendi , H. Behnamifard , B. Bahrami-Asl