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We discuss a solution of the Einstein equations, obtained by gluing the external Kerr metric and the internal Weyl metric, describing an axisymmetric static vacuum distorted black hole. These metrics are glued at the null surfaces…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Valeri P. Frolov , Andrei V. Frolov

The nonlinear superposition of the delta-metric and the Kerr metric results in delta-Kerr metric that represents a deformed Kerr black hole with delta = 1 + q, where q > 0 is proportional to the nonrelativistic quadrupole moment of the…

General Relativity and Quantum Cosmology · Physics 2020-02-10 Alireza Allahyari , Hassan Firouzjahi , Bahram Mashhoon

The recent detection of gravitational waves from black hole coalescences and the first image of the black hole shadow enhance the possibilities of testing gravitational theories in the strong-field regime. In this paper, we study the…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Che-Yu Chen

A distinguishable physical property between a naked singularity and a black-hole, formed during a gravitational collapse has important implications for both experimental and theoretical relativity. We examine the energy radiated during the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. H. Dwivedi

We consider the spacetimes corresponding to static Global Monopoles with interior boundaries corresponding to a Black Hole Horizon and analyze the behavior of the appropriate ADM mass as a function of the horizon radius r_H. We find that…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ulises Nucamendi , Daniel Sudarsky

The complete solution for two unequal counter-rotating black holes separated by a massless strut, is developed in terms of four arbitrary parameters involving two quantities \sigma 1 and \sigma 2 as the half length of the two rods…

General Relativity and Quantum Cosmology · Physics 2015-06-11 I. Cabrera-Munguia , Claus Lämmerzahl

We study the gravitational collapse of a kink within spherical symmetry and the characteristic formulation of General Relativity. We explore some expected but elusive gravitational collapse issues which have not been studied before in…

General Relativity and Quantum Cosmology · Physics 2016-04-20 W. Barreto , J. Crespo , H. de Oliveira , E. Rodrigues , B. Rodriguez-Mueller

Riemannian Penrose Inequalities are precise geometric statements that imply that the total mass of a zero second fundamental form slice of a spacetime is at least the mass contributed by the black holes, assuming that the spacetime has…

Differential Geometry · Mathematics 2024-03-21 Hubert Bray , Yiyue Zhang

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

Using accurate numerical relativity simulations of (nonspinning) black-hole binaries with mass ratios 1:1, 2:1 and 3:1 we compute the gauge invariant relation between the (reduced) binding energy $E$ and the (reduced) angular momentum $j$…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Thibault Damour , Alessandro Nagar , Denis Pollney , Christian Reisswig

We prove the existence of instabilities for the geometric linear wave equation on extremal Kerr spacetime backgrounds, which describe stationary black holes rotating at their maximally allowed angular velocity. These instabilities can be…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Dejan Gajic

In this paper we argue for a close connection between the non-existence of global symmetries in quantum gravity and a unitary resolution of the black hole information problem. In particular we show how the essential ingredients of recent…

High Energy Physics - Theory · Physics 2021-05-05 Daniel Harlow , Edgar Shaghoulian

We study the existence of analogue nonstationary spherically symmetric black holes. The prime example is the acoustic model (cf. [V], [U]). We consider also a more general class of metrics that could be useful in other physical models of…

Mathematical Physics · Physics 2015-06-16 Gregory Eskin

We obtain approximate analytic expressions for the critical value of the total angular momentum of a non-relativistic test particle moving in the Kerr geometry, such that it will be captured by the black hole. The expressions apply to…

Astrophysics of Galaxies · Physics 2012-10-25 Clifford M. Will

We explore the well know mass deficit/surplus phenomenon in General Relativity to suggest that it could play a part in the dark matter conundrum. Specifically in collapses and condensations of matter associated with negative intrinsic…

General Relativity and Quantum Cosmology · Physics 2025-07-17 Raymond Isichei , Joao Magueijo

We revisit the relationship of inequality between the gravitational field energy and the Komar charge, both quantities evaluated at the event horizon, for static and spherically symmetric regular black hole solutions obtained with nonlinear…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Leonardo Balart , Francisco Peña

We show that neither accretion nor angular momentum extraction are likely to lead to significant changes in the mass M_1 or angular momentum parameter a_* of a black hole in a binary system with realistic parameters. Current values of M_1…

Astrophysics · Physics 2009-10-31 A. R. King , U. Kolb

We investigate the kinetic properties of collisionless Vlasov gas in Kerr-Newman spacetime, analyzing how spacetime symmetries constrain the distribution functions. The distribution function is shown to depend solely on the constants of…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Yong-qiang Liu

We analyze the impact of the leading quantum gravity effects on the properties of black holes with nonzero angular momentum by performing a suitable renormalization group improvement of the classical Kerr metric within Quantum Einstein…

High Energy Physics - Theory · Physics 2011-03-23 M. Reuter , E. Tuiran

We present the key elements of the proof of an upper bound for angular-momentum and charge in terms of the mass for electro-vacuum asymptotically flat axisymmetric initial data sets with simply connected orbit space.

General Relativity and Quantum Cosmology · Physics 2009-12-17 Piotr T. Chruściel , João Lopes Costa
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