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Numerical simulations of binary black holes are accompanied by an initial spurious burst of gravitational radiation (called `junk radiation') caused by a failure of the initial data to describe a snapshot of an inspiral that started at an…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Sizheng Ma , Matthew Giesler , Mark Scheel , Vijay Varma

We solve the elliptic equations associated with the Hamiltonian and momentum constraints, corresponding to a system composed of two black holes with arbitrary linear and angular momentum. These new solutions are based on a Kerr-Schild…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pedro Marronetti , Richard A. Matzner

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 damped harmonic gauge is important for numerical relativity computations based on the generalized harmonic formulation of Einstein's equations, and is used to reduce coordinate distortions near binary black hole mergers. However,…

General Relativity and Quantum Cosmology · Physics 2018-11-15 Vijay Varma , Mark A. Scheel

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

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

In this work, we explore black hole and regular black hole solutions in the recently proposed Conformal Killing Gravity (CKG). This theory is of third order in the derivatives of the metric tensor and essentially satisfies three theoretical…

General Relativity and Quantum Cosmology · Physics 2024-02-07 José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues

We study electrically charged, static, spherically symmetric black holes in quadratic gravity using the conformal-to-Kundt technique, which leads to a considerable simplification of the field equations. We study the solutions using a…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Vojtech Pravda , Alena Pravdova , George Turner

This work consists of two distinct parts. In the first part we present a new method for solving the initial value problem of general relativity. Given any spatial metric with a surface orthogonal Killing field and two freely specified…

General Relativity and Quantum Cosmology · Physics 2009-10-31 John Baker , Raymond Stanley Puzio

In this paper a new double-domain spectral method to compute binary black hole excision initial data is presented. The method solves a system of elliptic partial differential equations in the exterior of two excised spheres. At the surface…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcus Ansorg

We propose a black hole model in which the would-be horizon is replaced by a thin, topologically ordered timelike shell of condensed non-Abelian anyons surrounding a regular, flat vacuum interior. Because anyonic degrees of freedom are…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Sabin Roman

Making use of the conformal positive energy theorem we prove the uniqueness of four-dimensional static electrically charged black holes being the solution of Chern-Simons dynamical gravity equations of motion. We assume that black hole…

High Energy Physics - Theory · Physics 2015-06-16 Marek Rogatko

The most general set of static and spherically symmetric solutions for conformal Killing gravity coupled to Maxwell fields is presented in closed form. These solutions, depending on six parameters, include non-asymptotically flat black…

General Relativity and Quantum Cosmology · Physics 2024-07-19 Gérard Clément , Khireddine Nouicer

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

We present numerical evolutions of three equal-mass black holes using the moving puncture approach. We calculate puncture initial data for three black holes solving the constraint equations by means of a high-order multigrid elliptic…

General Relativity and Quantum Cosmology · Physics 2010-12-21 Pablo Galaviz , Bernd Bruegmann , Zhoujian Cao

Hawking radiation from a black hole can be viewed as quantum tunneling of particles through the event horizon. Using this approach we provide a general framework for studying corrections to the entropy of black holes beyond semiclassical…

General Relativity and Quantum Cosmology · Physics 2015-05-18 M. Akbar , K. Saifullah

In this work, we present a new construction of black hole solutions in non-commutative gauge theory by applying the Seiberg-Witten map directly to interaction potentials before solving Einstein's equations. This approach provides a…

High Energy Physics - Theory · Physics 2026-05-25 Abdellah Touati

We derive the BPS type of first order differential equations for the rotating black hole solutions in the three-dimensional Einstein gravity coupled minimally with a self-interacting scalar field, using fake supersymmetry formalism. It…

High Energy Physics - Theory · Physics 2013-04-03 Seungjoon Hyun , Jaehoon Jeong , Sang-Heon Yi

We study the method of extended gravitational decoupling in obtaining static black hole solutions satisfying Einstein's equations with a tensor vacuum. The source has quite generic characteristics and satisfies the strong energy condition.…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Subhash Mahapatra , Indrani Banerjee

We prove a strong localized gluing result for the general relativistic constraint equations (with or without cosmological constant) in $n\geq 3$ spatial dimensions. We glue an $\epsilon$-rescaling of an asymptotically flat data set…

Analysis of PDEs · Mathematics 2022-10-26 Peter Hintz