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We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. Marronetti , M. Huq , P. Laguna , L. Lehner , R. Matzner , D. Shoemaker , .

Ever since its discovery by Roy Kerr in 1963, the geometry around rotating, electrostatically-neutral black holes, otherwise known as Kerr black holes, has significantly contributed to theoretical developments in the fields of general…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Tongyu Zhang , Moe Vali

Employing higher order perturbation theory, we find a new class of perturbative extremal rotating black hole solutions with Born-Infeld electric charge in odd D-dimensional spacetime. The seed solution is an odd dimensional extremal…

General Relativity and Quantum Cosmology · Physics 2014-03-21 Masoud Allahverdizadeh , Seyed H. Hendi , José P. S. Lemos , Ahmad Sheykhi

We propose a novel solution for the endpoint of gravitational collapse, in which spacetime ends (and is orbifolded) at a microscopic distance from black hole event horizons. This model is motivated by the emergence of singular event…

High Energy Physics - Theory · Physics 2013-12-03 Mehdi Saravani , Niayesh Afshordi , Robert B. Mann

We study the radiation of energy and linear momentum emitted to infinity by the headon collision of binary black holes, starting from rest at a finite initial separation, in the extreme mass ratio limit. For these configurations we identify…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. O. Lousto , R. H. Price

In general relativity (without matter), there is typically a one parameter family of static, maximally symmetric black hole solutions labelled by their mass. We show that there are situations with many more black holes. We study…

High Energy Physics - Theory · Physics 2022-11-09 Gary T. Horowitz , Diandian Wang , Xiaohua Ye

Motivated by a geometric understanding of the angular velocity of a Kerr black hole in terms of a quasi-conformal map that describes a 2d Beltrami fluid flow, a new way to construct initial data sets for binary rotating black holes by…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Shuanglin Huang , Xuefeng Feng , Yun-Kau Lau

No-hair theorems are uniqueness results constraining the form of the metric of black holes in general relativity. These theorems are typically formulated under idealized assumptions, involving a mixture of local (regularity of the horizon)…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gerardo García-Moreno

A quasi-black hole, either non-extremal or extremal, can be broadly defined as the limiting configuration of a body when its boundary approaches the body's quasihorizon. We consider the mass contributions and the mass formula for a static…

General Relativity and Quantum Cosmology · Physics 2008-12-30 José P. S. Lemos , Oleg B. Zaslavskii

The standard approach to initial data for both analytic and numerical computations of black hole collisions has been to use conformally-flat initial geometry. Among other advantages, this choice allows the simple superposition of holes with…

General Relativity and Quantum Cosmology · Physics 2009-10-31 W. Krivan , R. H. Price

Rapidly rotating black hole solutions in theories beyond general relativity play a key role in experimental gravity, as they allow us to compute observables in extreme spacetimes that deviate from the predictions of general relativity. Such…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Robert McNees , Leo C. Stein , Nicolás Yunes

The goal of this article is to parametrise solutions to Einstein's equations with big bang singularities and quiescent asymptotics. To this end, we introduce a notion of initial data on big bang singularities and conjecture that it can be…

General Relativity and Quantum Cosmology · Physics 2025-04-07 Hans Ringström

Binary boson stars can be used to model the nonlinear dynamics and gravitational wave signals of merging ultracompact, but horizonless, objects. However, doing so requires initial data satisfying the Hamiltonian and momentum constraints of…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Nils Siemonsen , William E. East

A class of perturbative charged rotating dilaton black hole solutions coupled to the nonlinear Born-Infeld electrodynamics is presented. The strategy for obtaining these solutions is to start from Myers-Perry solutions, and then considering…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Masoud Allahverdizadeh , Seyed H. Hendi , Ahmad Sheykhi

We build equilibrium solutions of magnetised thick discs around a highly spinning Kerr black hole and evolve these initial data up to a final time of about 100 orbital periods. The numerical simulations reported in this paper solve the…

General Relativity and Quantum Cosmology · Physics 2020-01-28 Alejandro Cruz-Osorio , Sergio Gimeno-Soler , José A. Font

It is shown that in the extreme limit with a zero surface gravity but nonzero local temperature the limiting metric of a generic static black hole is determined by a metric induced on a horizon and one function of two coordinates,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 O. B. Zaslavskii

The article considers the space-time structure of a charged black hole in the nonlinear Born-Infeld electrodynamics. We are discussing a special state of such a black hole in the form of a "black point" with a doubly degenerate horizon, for…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Vladimir Sokolov

We study black hole solutions in general relativity coupled to a unit timelike vector field dubbed the "aether". To be causally isolated a black hole interior must trap matter fields as well as all aether and metric modes. The theory…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Christopher Eling , Ted Jacobson

According to different topological configurations, we suggest that there are two kinds of extreme black holes in the nature. We find that the Euler characteristic plays an essential role to classify these two kinds of extreme black holes.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Bin Wang , Ru-Keng Su

We perform a parameter study of non-spinning, equal and unequal mass black hole binaries on generic, eccentric orbits in numerical relativity. The linear momentum considered ranges from that of a circular orbit to ten times that value. We…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Roman Gold , Bernd Bruegmann