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The Komar integral relation of Einstein gravity is generalized to Lovelock theories of gravity. This includes, in particular, a new boundary integral for the Komar mass in Einstein gravity with a nonzero cosmological constant, which has a…

High Energy Physics - Theory · Physics 2008-11-26 David Kastor

In the context of f(R) modified gravity theories, we study the Kerr-Newman black-hole solutions. We study non-zero constant scalar curvature solutions and discuss the metric tensor that satisfies the modified field equations. We determine…

General Relativity and Quantum Cosmology · Physics 2011-10-04 J. A. R. Cembranos , A. de la Cruz-Dombriz , P. Jimeno Romero

We study the quantum improvement of Kerr black holes with mass-dependent scale identifications in asymptotically safe gravity. We find that a physically sensible identification can only be a function of $Mr$ and the area $A=4\pi(r^2+a^2)$…

High Energy Physics - Theory · Physics 2024-10-11 Chiang-Mei Chen , Yi Chen , Akihiro Ishibashi , Nobuyoshi Ohta

The Brown-York quasi-local energy of a charged rotating black hole described by the Kerr-Newman metric and enclosed by a fixed-radius surface is computed. No further assumptions on the angular momentum or the radial coordinate in…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Bjoern S. Schmekel

The Kerr black hole is stationary and axisymmetric, which leads to conservation of energy and azimuthal angular momentum along the orbits of free test particles in its vicinity, but also to conservation laws for the evolution of continuum…

General Relativity and Quantum Cosmology · Physics 2017-11-27 Vojtěch Witzany

We address the properties of extremal black holes by considering the Christodoulou-Ruffini/Hawking mass-energy formula. By simple geometrical arguments, we found that the mass/energy formula is satisfied by two meaningful extremal black…

General Relativity and Quantum Cosmology · Physics 2024-03-15 Giorgio Sonnino

It has been proposed by Bekenstein and others that the horizon area of a black hole conforms, upon quantization, to a discrete and uniformly spaced spectrum. In this paper, we consider the area spectrum for the highly non-trivial case of a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Gilad Gour , A. J. M. Medved

We show that the pseudotensors of Einstein, Tolman, Landau and Lifshitz, Papapetrou, and Weinberg (ETLLPW) give the same distributions of energy, linear momentum and angular momentum, for any Kerr-Schild metric. This result generalizes a…

General Relativity and Quantum Cosmology · Physics 2010-03-03 J M Aguirregabiria , A Chamorro , K S Virbhadra

A 5-parametric exact solution, describing a binary system composed of identical counter-rotating black holes endowed with opposite electromagnetic charges, is constructed. The addition of the angular momentum parameter to the static…

General Relativity and Quantum Cosmology · Physics 2014-07-10 I. Cabrera-Munguia , Claus Lämmerzahl , L. A. López , Alfredo Macías

We investigate the thermodynamic properties of the Kerr-Bertotti-Robinson black hole, an exact Petrov type D solution of Einstein-Maxwell theory describing a rotating black hole immersed in an external electromagnetic field. While the…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Li Hu , Rong-Gen Cai , Shao-Jiang Wang

We use the isometric embedding of the spatial horizon of fast rotating Kerr black hole in a hyperbolic space to compute the quasi-local mass of the horizon for any value of the spin parameter $j=J/m^2$. The mass is monotonically decreasing…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Maciej Dunajski , Paul Tod

Stationary axisymmetric binary systems of unequal counterrotating Kerr-Newman sources with a massless strut in between are studied. By means of the choice of a suitable parametrization, the axis conditions and the absence of individual…

General Relativity and Quantum Cosmology · Physics 2017-07-03 I. Cabrera-Munguia

The Brown-York quasi-local energy of a rotating black hole described by the Kerr metric and enclosed by a fixed-radius surface is calculated by direct computation. No special assumptions on the angular momentum or the radial coordinate in…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Bjoern S. Schmekel

The energy distribution in the Kerr-Newman space-time is computed using the M{\o}ller energy-momentum complex. This agrees with the Komar mass for this space-time obtained by Cohen and de Felice. These results support the Cooperstock…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. S. Xulu

Measurements of the mass or angular momentum of a black hole are onerous, particularly if they have to be frequently repeated, as when one is required to transform a black hole to prescribed parameters. Irradiating a black hole of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

The Kerr-Newman black hole solution can be constructed straightforwardly as the unique solution to the boundary value problem of the Einstein-Maxwell equations corresponding to an asymptotically flat, stationary and axisymmetric…

General Relativity and Quantum Cosmology · Physics 2015-02-12 Reinhard Meinel , René Richter

In this paper, binary systems of unequal Kerr-Newman black holes located on the axis and apart by a massless strut are investigated. After adopting a fitting parametrization, the conditions on the axis and the one eliminating the individual…

General Relativity and Quantum Cosmology · Physics 2021-10-05 I. Cabrera-Munguia

The Kerr-Newman metric describes a very special rotating, charged mass and is the most general of the asymptotically flat stationary 'black hole' solutions to the Einstein-Maxwell equations of general relativity. We review the derivation of…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Tim Adamo , E. T. Newman

The exact metric of a moving Kerr black hole with an arbitrary constant velocity is derived in Kerr-Schild coordinates. We then calculate the null equatorial gravitational deflection caused by a radially moving Kerr source up to the second…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Weijun Li , Zhongwen Feng , Xia Zhou , Xueling Mu , Guansheng He

Starting from the definition of entropy used in statistical mechanics we show that it is proportional to the gravity action. For a stationary black hole this entropy is expressed as $S = E/ 2T$, where $T$ is the Hawking temperature and $E$…

General Relativity and Quantum Cosmology · Physics 2010-06-02 Rabin Banerjee , Bibhas Ranjan Majhi