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A new solution of four-dimensional vacuum General Relativity is presented. It describes the near horizon region of the extreme (maximally spinning) binary black hole system with two identical extreme Kerr black holes held in equilibrium by…

High Energy Physics - Theory · Physics 2019-10-02 Jacob Ciafre , Maria J. Rodriguez

A black hole binary approaching merger undergoes changes in its inspiral rate as energy and angular momentum are lost from the orbits into the horizons. This effect strengthens as the black holes come closer. We use numerical relativity…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Samanwaya Mukherjee , Sayak Datta , Sukanta Bose , Khun Sang Phukon

The thermodynamics of de Sitter black holes is complicated by the presence of two horizons and the absence of a globally defined timelike Killing vector. The standard choice of the Gibbons-Hawking Killing vector is at odds with the…

High Energy Physics - Theory · Physics 2026-04-20 Lars Aalsma , Puxin Lin , Jan Pieter van der Schaar , Gary Shiu , Watse Sybesma

We generalize the bumpy black hole framework to allow for alternative theory deformations. We construct two model-independent parametric deviations from the Kerr metric: one built from a generalization of the quasi-Kerr and bumpy metrics…

General Relativity and Quantum Cosmology · Physics 2011-05-25 Sarah Vigeland , Nicolás Yunes , Leo Stein

Recent efforts to numerically simulate compact objects in alternative theories of gravity have largely focused on the time-evolution equations. Another critical aspect is the construction of constraint-satisfying initial data with precise…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Peter James Nee , Guillermo Lara , Harald P. Pfeiffer , Nils L. Vu

The double copy relates gauge and gravitational theories, with widespread application to quantum scattering amplitudes and classical perturbative results. It also connects exact classical solutions of Abelian gauge and gravitational…

High Energy Physics - Theory · Physics 2025-10-02 Brian Kent , Aaron Zimmerman

We present a new numerical method for the construction of quasiequilibrium models of black hole-neutron star binaries. We solve the constraint equations of general relativity, decomposed in the conformal thin-sandwich formalism, together…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thomas W. Baumgarte , Monica L. Skoge , Stuart L. Shapiro

In the extremal Kerr spacetime the horizon Killing vector field is null on a timelike hypersurface crossing the horizon at a fixed latitude, and spacelike on both sides of the horizon in the equatorial plane. We explain in some detail how…

General Relativity and Quantum Cosmology · Physics 2013-03-20 Jan E. Aman , Ingemar Bengtsson , Helgi F. Runarsson

Quantum gravity theories predict deformations of black hole solutions relative to their classical counterparts. A model-independent approach was advocated in \cite{Binetti:2022xdi} that uses metric deformations parametrised in terms of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Manuel Del Piano , Stefan Hohenegger , Francesco Sannino

A Regge--Wheeler analysis is performed for a novel black hole mimicker `the regular black hole with asymptotically Minkowski core', followed by an approximation of the permitted quasi-normal modes for propagating waveforms. A first-order…

General Relativity and Quantum Cosmology · Physics 2021-10-06 Alex Simpson

The close limit approximation of binary black hole is a powerful method to study gravitational-wave emission from highly non-linear geometries. In this work, we use it as a tool to model black hole spacetimes in theories of gravity with a…

General Relativity and Quantum Cosmology · Physics 2021-12-22 Lorenzo Annulli

We compare different methods of computing the orbital eccentricity of quasi-circular binary black hole systems using the orbital variables and gravitational wave phase and frequency. For eccentricities of about a per cent, most methods work…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Abdul H. Mroué , Harald P. Pfeiffer , Lawrence E. Kidder , Saul A. Teukolsky

Supermassive binary black holes (SBBHs) are a natural outcome of galaxy mergers. Here we show that low-frequency ($f \leq 10^{-6}$ Hz) quasi-periodic variability observed from cosmic blazar sources can provide substantial inductive support…

Astrophysics · Physics 2008-11-26 Frank M. Rieger

It is well known that the Kerr-NUT-AdS-dS black hole admits two linearly independent Killing vectors and possesses a hidden symmetry generated by a rank-2 Killing tensor. The near-horizon geometry of an extremal Kerr-NUT-AdS-dS black hole…

General Relativity and Quantum Cosmology · Physics 2011-03-02 Jorgen Rasmussen

We consider the spherically symmetric, asymptotically flat Einstein-Vlasov system. We find explicit conditions on the initial data, with ADM mass M, such that the resulting spacetime has the following properties: there is a family of…

General Relativity and Quantum Cosmology · Physics 2011-01-24 Hakan Andreasson , Markus Kunze , Gerhard Rein

We describe early success in the evolution of binary black hole spacetimes with a numerical code based on a generalization of harmonic coordinates. Indications are that with sufficient resolution this scheme is capable of evolving binary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Frans Pretorius

The strong-field region inside a black hole needs special attention during numerical simulation. One approach for handling the problem is the moving puncture method, which has become an important tool in numerical relativity since it allows…

General Relativity and Quantum Cosmology · Physics 2014-03-25 Tim Dietrich , Bernd Bruegmann

The direct discovery of gravitational waves from compact binary systems leads for the first time to explore the possibility of black hole spectroscopy. Newly formed black holes produced by coalescing events are copious emitters of…

General Relativity and Quantum Cosmology · Physics 2017-05-24 Andrea Maselli , Kostas Kokkotas , Pablo Laguna

A coordinate system that blockwise-simplifies the Kerr-Newman black hole's thermodynamical state space Ruppeiner metric geometry is constructed, with discussion of the limiting cases corresponding to simpler black holes. It is deduced that…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Edward Anderson

Recently a short scale modified black hole metric, known as holographic metric, has been proposed in order to capture the self-complete character of gravity. In this paper we show that such a metric can reproduce some geometric features…

General Relativity and Quantum Cosmology · Physics 2016-05-23 Antonia M. Frassino , Sven Köppel , Piero Nicolini