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The parabolic-hyperbolic form of the constraints is integrated numerically. The applied numerical stencil is $4^{th}$ order accurate (in the spatial directions) while 'time'-integration is made by using the method of lines with a $4^{th}$…

General Relativity and Quantum Cosmology · Physics 2022-01-13 Anna Nakonieczna , Łukasz Nakonieczny , István Rácz

Merging supermassive black hole binaries produce low-frequency gravitational waves, which pulsar timing experiments are searching for. Much of the current theory is developed within the plane-wave formalism, and here we develop the more…

High Energy Astrophysical Phenomena · Physics 2021-06-29 Casey McGrath , Jolien Creighton

We derive exact gravitational fields of a black hole and a relativistic particle stuck on a codimension-2 brane in $D$ dimensions when gravity is ruled by the bulk $D$-dimensional Einstein-Hilbert action. The black hole is locally the…

High Energy Physics - Theory · Physics 2009-11-11 Nemanja Kaloper , Derrick Kiley

We investigate the internal structure of charged black holes with a spherically symmetric model in the double-null coordinate system. Hawking radiation is considered using the S-wave approximation of semiclassical back-reaction and…

General Relativity and Quantum Cosmology · Physics 2011-10-18 Dong-il Hwang , Dong-han Yeom

We provide simple and accurate analytical expressions for the Regge poles of the Schwarzschild black hole. This is achieved by using third-order WKB approximations to solve the radial wave equations for spins 0, 1 and 2. These results…

General Relativity and Quantum Cosmology · Physics 2010-03-12 Yves Décanini , Antoine Folacci

We study linear gravitational perturbations of Schwarzschild spacetime by solving numerically Regge-Wheeler-Zerilli equations in time domain using hyperboloidal surfaces and a compactifying radial coordinate. We stress the importance of…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Anil Zenginoglu

We present a method to construct conformally curved initial data for charged black hole binaries with spin on arbitrary orbits. We generalize the superposed Kerr-Schild, extended conformal thin sandwich construction from [Lovelace et al.,…

General Relativity and Quantum Cosmology · Physics 2022-02-25 Soham Mukherjee , Nathan K. Johnson-McDaniel , Wolfgang Tichy , Steven L. Liebling

The vast majority of compact binary mergers in the Universe produce gravitational waves that are too weak to yield unambiguous detections; they are unresolved. We present a method to infer the population properties of compact binaries --…

High Energy Astrophysical Phenomena · Physics 2020-06-17 Rory Smith , Colm Talbot , Francisco Hernandez Vivanco , Eric Thrane

Time-dependent spherically-symmetric perturbations of Schwarzschild black holes are studied within torsion bigravity, i.e., within generalized Einstein-Cartan theories where the dynamical torsion carries massive spin-2 excitation. We reduce…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Vasilisa Nikiforova

Black holes in Lorentz violating gravity enjoy a double horizon structure which resembles that of the Kerr solution in General Relativity. Moreover, when a scalar field with a modified dispersion relation is coupled to these backgrounds, an…

General Relativity and Quantum Cosmology · Physics 2024-10-03 M. Herrero-Valea , E. Simon-Felix

We formulate and calculate the second order quasi-normal modes (QNMs) of a Schwarzschild black hole (BH). Gravitational wave (GW) from a distorted BH, so called ringdown, is well understood as QNMs in general relativity. Since QNMs from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hiroyuki Nakano , Kunihito Ioka

Using approximate techniques we study the final moments of the collision of two (individually non-spinnning) black holes which inspiral into each other. The approximation is based on treating the whole space-time as a single distorted black…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Reinaldo Gleiser , Gaurav Khanna , Richard Price , Jorge Pullin

We construct rotating black holes in Carroll gravity using two distinct approaches. In one of them, we exploit the freedom in the Carroll compatible connection to encode rotation. In particular, we construct rotating solutions in magnetic…

High Energy Physics - Theory · Physics 2026-05-20 Florian Ecker , Daniel Grumiller , Lucas Hörl , Mattéo Leturcq--Daligaux , Alfredo Pérez

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

Theories of gravity extending or modifying general relativity typically allow for black hole solutions different from the Schwarzschild/Kerr geometries. Electromagnetic observations have been used to place constraints on parametrized…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Sebastian H. Völkel , Enrico Barausse

By reexamination of the boundary conditions of wave equation on a black hole horizon it is found not harmonic, but real-valued exponentially time-dependent solutions. This means that quantum particles probably do not cross the Schwarzschild…

General Physics · Physics 2018-05-10 Merab Gogberashvili , Lasha Pantskhava

We consider the propagation of perturbations along an infinitely long stationary open string in the background of a Schwarzschild black hole. The equations of motion for the perturbations in the 2 transverse physical directions are solved…

High Energy Physics - Theory · Physics 2009-10-22 A. L. Larsen

A new exact solution of the Einstein-Maxwell equations for the gravitational collapse of a shell of matter in an already formed black hole is given. Both the shell and the black hole are endowed with electromagnetic structure and are…

Astrophysics · Physics 2009-11-07 Christian Cherubini , Remo Ruffini , Luca Vitagliano

Perturbations of Schwarzschild-Droste black holes in the Regge-Wheeler gauge benefit from the availability of a wave equation and from the gauge invariance of the wave function, but lack smoothness. Nevertheless, the even perturbations…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Sofiane Aoudia , Alessandro D. A. M. Spallicci

We construct hybrid binary black holes merger waveforms using analytical model waveforms for the early inspiral phase and numerical relativity waveforms for late inspiral to merger and post merger phases. To hybridize analytical and…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Jam Sadiq , Yosef Zlochower , Richard O'Shaughnessy , Jacob Lange