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We obtain mass and angular momentum of black holes as conserved charges in three dimensional new massive gravity, after presenting the explicit expression for the potential of the conserved charges. This confirms the expression of those…

High Energy Physics - Theory · Physics 2011-01-17 Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

Black holes can be practically located (e.g. in numerical simulations) by trapping horizons, hypersurfaces foliated by marginal surfaces, and one desires physically sound measures of their mass and angular momentum. A generically unique…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

We extend the Abbott-Deser-Tekin approach to the computation of the Killing charge for a solution of topologically massive gravity (TMG) linearized around an arbitrary background. This is then applied to evaluate the mass and angular…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Adel Bouchareb , Gerard Clement

We consider the quasi-black hole limit of a stationary body when its boundary approaches its own gravitational radius, i.e., its quasi-horizon. It is shown that there exists a perfect correspondence between the different mass contributions…

General Relativity and Quantum Cosmology · Physics 2009-09-02 José P. S. Lemos , Oleg B. Zaslavskii

We provide a new regular black hole solution in $(2+1)$ dimensions with presence of matter fields in the energy momentum tensor, having its core a flat or (A)dS structure. Since the first law of thermodynamics for regular black holes is…

General Relativity and Quantum Cosmology · Physics 2021-11-09 Milko Estrada , Francisco Tello-Ortiz

Angular momentum can be defined by rearranging the Komar surface integral in terms of a twist form, encoding the twisting around of space-time due to a rotating mass, and an axial vector. If the axial vector is a coordinate vector and has…

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

We apply the Wald formalism to obtain masses and angular momenta of black holes in three dimensional gravity theories using the first order formalism. Wald formalism suggests that the entropy of a black hole can be defined by an integration…

High Energy Physics - Theory · Physics 2018-07-06 Soonkeon Nam , Jong-Dae Park

In this paper we construct mass, angular momentum and entropy of black hole solution of Generalized Minimal Massive Gravity (GMMG) in asymptotically Anti-de Sitter (AdS) spacetimes. The generalized minimal massive gravity theory is realized…

General Relativity and Quantum Cosmology · Physics 2015-06-24 M. R. Setare , H. Adami

We compute the mass, angular momenta and charge of the Godel-type rotating black hole solution to 5 dimensional minimal supergravity. A generalized Smarr formula is derived and the first law of thermodynamics is verified. The computation…

High Energy Physics - Theory · Physics 2009-11-11 Glenn Barnich , Geoffrey Compere

In an effort to understand the Penrose inequality for black holes with angular momentum, an axisymmetric, vacuum, asymptotically Euclidean initial data set subject to certain quasi-stationary conditions is considered for a case study. A new…

General Relativity and Quantum Cosmology · Physics 2025-03-17 Xuefeng Feng , Ruodi Yan , Sijie Gao , Yun-Kau Lau , Shing-Tung Yau

We investigate the black hole solution to (2+1)-dimensional gravity coupled to topological matter, with a vanishing cosmological constant. We calculate the total energy, angular momentum and entropy of the black hole in this model and…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip , J. Gegenberg , R. B. Mann

Recently it was shown that the conserved charges of asymptotically anti de Sitter spacetimes can be written in an explicitly gauge-invariant way in terms of the linearized Riemann tensor and the Killing vectors. Here we employ this…

High Energy Physics - Theory · Physics 2020-05-06 Emel Altas

The Arnowitt-Deser-Misner formalism is used to derive variations of mass, angular momentum and canonical energy for Einstein-Maxwell {\it dark matter} gravity in which the auxiliary gauge field coupled via kinetic mixing term to the…

High Energy Physics - Theory · Physics 2020-10-28 Marek Rogatko

Exact solutions of Einstein's equations in 2+1-dimensional anti-de Sitter space containing any number of black holes are described. In addition to the black holes these spacetimes can possess ``internal'' structure. Accordingly the generic…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Dieter Brill

For the formation of a black hole in the gravitational collapse of a massless scalar field, we calculate a critical exponent that governs the black hole angular momentum for slightly non-spherical initial data near the black hole threshold.…

General Relativity and Quantum Cosmology · Physics 2011-04-20 D. Garfinkle , C. Gundlach , J. M. Martin-Garcia

We discuss the exact electrically charged BTZ black hole solutions to the Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions assuming a (anti-)self dual condition between the electromagnetic fields.…

High Energy Physics - Theory · Physics 2009-10-30 Masaru Kamata , Takao Koikawa

In this paper a lower bound for the ADM mass is given in terms of the angular momenta and charges of black holes present in axisymmetric initial data sets for the Einstein-Maxwell equations. This generalizes the mass-angular momentum-charge…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Marcus Khuri , Gilbert Weinstein

Field equations of a classical, geometric, theory of gravity, augmented with some semiclassical considerations strongly suggest that the gravitational field representing a stationary black hole can be simply described with a few…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Aydin Tavlayan , Bayram Tekin

A recent paper [M. Kamata and T. Koikawa, Phys. Lett. {\bf B353} (1995) 196.] claimed to obtain the charged version of the $(2+1)$-dimensional spinning $BTZ$ black hole solution by assuming a (anti-) self dual condition imposed on the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Kevin C. K. Chan

A Kerr black hole with mass $M$ and angular momentum $J$ satisfies the extremality inequality $|J| \le M^2$. In the presence of matter and/or gravitational radiation, this bound needs to be reformulated in terms of local measurements of the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Tanja Bode , Pablo Laguna , Richard A. Matzner
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