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We consider the thermodynamics of rotating and charged asymptotically de Sitter black holes. Using Hamiltonian perturbation theory techniques, we derive three different first law relations including variations in the cosmological constant,…

High Energy Physics - Theory · Physics 2013-05-22 Brian P. Dolan , David Kastor , David Kubiznak , Robert B. Mann , Jennie Traschen

We show that the Einstein field equations with a negative cosmological constant can admit black hole solutions whose thermodynamics coincides with that of logotropic fluids, recently investigated to heal some cosmological and astrophysical…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Salvatore Capozziello , Rocco D'Agostino , Alessio Lapponi , Orlando Luongo

We investigate the energy distribution of a black hole in various spacetimes as reckoned by a distant observer using the quasi-local energy approach. In each case the horizon mass of a black hole: neutral, charged or rotating, is found to…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Yuan K. Ha

We study the particle motion in the space-time of a Kehagias-Sfetsos (KS) black hole. This is a static spherically symmetric solution of a Horava-Lifshitz gravity model that reduces to General Relativity in the IR limit and deviates…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Victor Enolskii , Betti Hartmann , Valeria Kagramanova , Jutta Kunz , Claus Laemmerzahl , Parinya Sirimachan

We consider a spherically symmetric and asymptotically flat vacuum solution of the Horava-Lifshitz (HL) gravity that is the analog of the general relativistic Schwarzschild black hole. In the weak-field and slow-motion approximation, we…

General Relativity and Quantum Cosmology · Physics 2011-01-07 Lorenzo Iorio , Matteo Luca Ruggiero

In this paper, with considering the nonlinear electromagnetic field coupled to Einstein gravity, we obtain the higher dimensional slowly rotating charged black hole solutions. By use of the fact that the temperature of the extreme black…

High Energy Physics - Theory · Physics 2010-11-15 S. H. Hendi

We study nonrelativistic gravity using the Hamiltonian formalism. For the dynamics of general relativity (relativistic gravity) the formalism is well known and called the Arnowitt-Deser-Misner (ADM) formalism. We show that if the lapse…

High Energy Physics - Theory · Physics 2009-07-20 A. A. Kocharyan

This article begins with a brief introduction to numerical relativity aimed at readers who have a background in applied mathematics but not necessarily in general relativity. I then introduce and summarise my work on the problem of treating…

General Relativity and Quantum Cosmology · Physics 2014-07-29 Oliver Rinne

We investigate $4D$ Einstein-Gauss-bonnet gravity coupled to exponential electrodynamics in AdS background and found a static, spherically symmetric exact black hole solution. The horizon structure of black hole is discussed. Treating the…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Prosenjit Paul

We show that in asymptotically free mimetic gravity with limiting curvature the black hole singularity can be resolved and replaced by a static patch of de Sitter space. As a result of Hawking evaporation of these non-singular black holes,…

High Energy Physics - Theory · Physics 2020-08-05 Ali H. Chamseddine , Viatcheslav Mukhanov , Tobias B. Russ

Using a solution-generating method, we derive an exact solution of the Einstein's field equations in five dimensions describing multi-black hole configurations. More specifically, this solution describes systems of non-extremal static black…

General Relativity and Quantum Cosmology · Physics 2014-12-01 Cristian Stelea , Kristin Schleich , Donald Witt

We establish various general results concerning static and spherically symmetric black hole solutions of general higher-derivative extensions of Einstein gravity. We prove that the only theories susceptible of admitting solutions with…

High Energy Physics - Theory · Physics 2017-08-16 Pablo Bueno , Pablo A. Cano

We study a massive vector tensor theory that acquires mass via a standard Proca term but also via a higher order term containing an explicit coupling to curvature. We find static solutions that are asymptotically flat, adS or Lifshitz black…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine

We study Einstein gravity coupled to a massless scalar field in a static spherically symmetric space-time in four dimensions. Black hole solutions exist when the kinetic energy of the scalar field is negative, that is, for a phantom field.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , J. C. Fabris , N. Pinto-Neto , M. E. Rodrigues

We present a class of exact analytic and static, spherically symmetric black hole solutions in the semi-classical Einstein equations with Weyl anomaly. The solutions have two branches, one is asymptotically flat and the other asymptotically…

High Energy Physics - Theory · Physics 2010-04-30 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

We provide a methodology to obtain black hole (BH) solutions in Ho\v{r}ava gravity (HG) and Einstein Aether (AE) theory for the spherically symmetric (SS) case with a static aether. This methodology consists of first specifying the form of…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Milko Estrada

In this work we use a general covariance breaking method to obtain a class of topological charged black holes whose background geometry asymptotically approaches Lifshitz spacetimes. We discuss how this mechanism affects Einstein's…

High Energy Physics - Theory · Physics 2024-01-24 D. C. Moreira , A. S. Lemos , F. A. Brito

A presentation of the Vaidya type Schwarzschild-like black holes with flat, AdS and dS asymptotics in 4-dimensional general relativity in the form of a pointlike mass is given. True singularities are described by making the use of the Dirac…

General Relativity and Quantum Cosmology · Physics 2023-11-02 A. N. Petrov

We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory in the presence of Liouville-type potentials for the dilaton field. These solutions describe dilaton black holes with nontrivial topology and nonlinear…

High Energy Physics - Theory · Physics 2008-11-26 Ahmad Sheykhi

We consider the Hamiltonian mechanics and thermodynamics of an eternal black hole in a box of fixed radius and temperature in generic 2-D dilaton gravity. Imposing boundary conditions analoguous to those used by Louko and Whiting for…

General Relativity and Quantum Cosmology · Physics 2014-11-17 G. Kunstatter , R. Petryk , S. Shelemy