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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

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

Using the covariant phase space formalism, we compute the conserved charges for a solution, describing an accelerating and electrically charged Reissner-Nordstrom black hole. The metric is regular provided that the acceleration is driven by…

General Relativity and Quantum Cosmology · Physics 2017-03-17 Marco Astorino

In this paper we study the concept of the boost mass of a spacetime and investigate how variations in the boost mass enter into the laws of black hole mechanics. We define the boost mass as the gravitational charge associated with an…

High Energy Physics - Theory · Physics 2009-11-11 Koushik Dutta , Sourya Ray , Jennie Traschen

We address a long-standing problem of describing the thermodynamics of a charged accelerating black hole. We derive a standard first law of black hole thermodynamics, with the usual identification of entropy proportional to the area of the…

High Energy Physics - Theory · Physics 2017-02-03 Michael Appels , Ruth Gregory , David Kubiznak

We show how to obtain a consistent thermodynamic description of accelerating asymptotically AdS black holes, extending our previous results by including charge and rotation. We find that the key ingredient of consistent thermodynamics is to…

High Energy Physics - Theory · Physics 2019-05-31 Andres Anabalon , Finnian Gray , Ruth Gregory , David Kubiznak , Robert B. Mann

We study the charges and first law of thermodynamics for accelerating, non-rotating black holes with dyonic charges in AdS$_4$ using the covariant phase space formalism. In order to apply the formalism to these solutions (which are…

High Energy Physics - Theory · Physics 2023-12-05 Hyojoong Kim , Nakwoo Kim , Yein Lee , Aaron Poole

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

In this paper we will show that using the cosmological constant as a new thermodynamical state variable, the differential and integral mass formulas of the first law of thermodynamics for asymptotic flat spacetimes can be extended to be…

General Relativity and Quantum Cosmology · Physics 2007-11-02 Alexis Larranaga

We study the thermodynamics of Kaluza-Klein black holes with momentum along the compact dimension, but vanishing angular momentum. These black holes are stationary, but non-rotating. We derive the first law for these spacetimes and find…

High Energy Physics - Theory · Physics 2009-11-13 David Kastor , Sourya Ray , Jennie Traschen

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 reconsider various C-metric spacetimes describing charged and (slowly) accelerating AdS black holes in different theories of (non-linear) electrodynamics and revisit their thermodynamic properties. Focusing first on the Maxwell theory,…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Tomáš Hale , David Kubizňák , Jana Menšíková , Robert B. Mann , Jiayue Yang

We consider the class of metrics that can be obtained from those of nonextreme black holes by limiting transitions to the extreme state such that the near-horizon geometry expands into a whole manifold. These metrics include, in particular,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. B. Zaslavskii

We first obtain the $D$-dimensional asymptotically AdS charged black hole solution in general nonlinear electrodynamics (NLED). We then use the Hamilton-Jacobi method to describe the motion in curved spacetime of a scalar particle and a…

General Relativity and Quantum Cosmology · Physics 2019-05-09 Peng Wang , Houwen Wu , Haitang Yang

We obtain expressions for the mass and angular momenta of rotating black holes in anti-de Sitter backgrounds in four, five and higher dimensions. We verify explicitly that our expressions satisfy the first law of thermodynamics, thus…

High Energy Physics - Theory · Physics 2010-08-09 G. W. Gibbons , M. J. Perry , C. N. Pope

The interpretation of so-called cosmic string in black hole spacetimes has settled down to an unsatisfactory state. In this article we try to provide a different model for these cosmic strings by explicit construction of these spacetimes…

General Relativity and Quantum Cosmology · Physics 2017-05-04 David Kofroň

A unified first law of black-hole dynamics and relativistic thermodynamics is derived in spherically symmetric general relativity. This equation expresses the gradient of the active gravitational energy E according to the Einstein equation,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sean A. Hayward

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

We consider black hole solutions with electric and magnetic sources in the four-dimensional Einstein-Born-Infeld-AdS theory with spherical, planar and hyperbolic horizon geometries. Exact analytical solutions for the metric function,…

General Relativity and Quantum Cosmology · Physics 2023-04-07 Mykhailo Tataryn , Mykola Stetsko

In this paper we will show that using the cosmological constant as a new thermodynamical state variable, the differential and integral mass formulas of the first law of thermodynamics for asymptotic flat spacetimes can be extended to (2+1)…

General Relativity and Quantum Cosmology · Physics 2008-03-06 Alexis Larranaga
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