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In this work we study whether parametrized spherically symmetric black hole solutions in metric theories of gravity can appear to be isospectral when studying perturbations. From a theory agnostic point of view, the test scalar field wave…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Sebastian H. Völkel , Kostas D. Kokkotas

We construct initial data corresponding to a single perturbed Kerr black hole in vacuum. These data are defined on specific hyperboloidal ("ACMC-") slices on which the mean extrinsic curvature K asymptotically approaches a constant at…

General Relativity and Quantum Cosmology · Physics 2014-08-27 David Schinkel , Marcus Ansorg , Rodrigo Panosso Macedo

Generalizing previous work we propose how to superpose spinning black holes in a Kerr-Schild initial slice. This superposition satisfies several physically meaningful limits, including the close and the far ones. Further we consider the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Claudia Moreno , Dario Nunez , Olivier Sarbach

A benchmark problem for numerical relativity has been the head-on collision of two black holes starting from the ``Misner initial data,'' a closed form momentarily stationary solution to the constraint equations with an adjustable closeness…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Peter Anninos , Richard H. Price , Jorge Pullin , Ed Seidel , Wai-Mo Suen

The first-order semiclassical Einstein field equations are solved in the interior of the Schwarzschild-Tangherlini black holes. The source term is taken to be the stress-energy tensor of the quantized massive scalar field with arbitrary…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Jerzy Matyjasek , Pawel Sadurski

Numerical relativity codes now being developed will evolve initial data representing colliding black holes at a relatively late stage in the collision. The choice of initial data used for code development has been made on the basis of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Carlos O. Lousto , Richard H. Price

We compare the results of constructing binary black hole initial data with three different decompositions of the constraint equations of general relativity. For each decomposition we compute the initial data using a superposition of two…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Harald P. Pfeiffer , Gregory B. Cook , Saul A. Teukolsky

We develop a method to compute low-eccentricity initial data of black hole--neutron star binaries in the puncture framework extending previous work on other types of compact binaries. In addition to adjusting the orbital angular velocity of…

General Relativity and Quantum Cosmology · Physics 2021-01-07 Koutarou Kyutoku , Kyohei Kawaguchi , Kenta Kiuchi , Masaru Shibata , Keisuke Taniguchi

A key obstacle for theory-specific tests of general relativity is the lack of accurate black-hole solutions in beyond-Einstein theories, especially for moderate to high spins. We address this by developing a general framework--based on…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

We explore whether a new method to solve the constraints of Einstein's equations, which does not involve elliptic equations, can be applied to provide initial data for black holes. We show that this method can be successfully applied to a…

General Relativity and Quantum Cosmology · Physics 2015-06-08 István Rácz , Jeffrey Winicour

Construction of binary black hole initial data is a prerequisite for numerical evolutions of binary black holes. This paper reports improvements to the binary black hole initial data solver in the Spectral Einstein Code, to allow robust…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Serguei Ossokine , Francois Foucart , Harald P. Pfeiffer , Michael Boyle , Béla Szilágyi

We present single and binary black hole simulations that follow the moving puncture paradigm of simulating black-hole spacetimes without excision, and use moving boxes mesh refinement. Focussing on binary black hole configurations where the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernd Bruegmann , Jose A. Gonzalez , Mark Hannam , Sascha Husa , Ulrich Sperhake , Wolfgang Tichy

We calculate the particle spectra of evaporating self-dual black holes that are potential dark matter candidates. We first estimate the relevant mass and temperature range and find that the masses are below the Planck mass, and the…

General Relativity and Quantum Cosmology · Physics 2012-02-16 Sabine Hossenfelder , Leonardo Modesto , Isabeau Prémont-Schwarz

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

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

We consider the initial data problem for several black holes in vacuum with arbitrary momenta and spins on a three space with punctures. We compactify the internal asymptotically flat regions to obtain a computational domain without inner…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Steven Brandt , Bernd Bruegmann

A one-parameter family of time-symmetric initial data for the radial infall of a particle into a Schwarzschild black hole is constructed within the framework of black-hole perturbation theory. The parameter measures the amount of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Karl Martel , Eric Poisson

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 2017-08-23 Pedro Marronetti

The quantum black hole model with a self-gravitating spherically symmetric thin dust shell as a source is considered. The shell Hamiltonian constraint is written and the corresponding Schroedinger equation is obtained. This equation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. A. Berezin , A. M. Boyarsky. A. Yu. Neronov

We present improved post-Newtonian-inspired initial data for non-spinning black-hole binaries, suitable for numerical evolution with punctures. We revisit the work of Tichy et al. [W. Tichy, B. Bruegmann, M. Campanelli, and P. Diener, Phys.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernard J Kelly , Wolfgang Tichy , Manuela Campanelli , Bernard F Whiting