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The focus of this work is on the construction of initial data including a neutron star on a hyperboloidal slice. As simplest scenario for this first step, spherical symmetry is considered together with a polytropic-like equation of state…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Alex Vañó-Viñuales

First laws of black hole mechanics, or thermodynamics, come in a variety of different forms. In this paper, from a purely post-Newtonian (PN) analysis, we obtain a first law for binary systems of point masses moving along an exactly…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Alexandre Le Tiec , Luc Blanchet , Bernard F. Whiting

Some very interesting solutions of the field equations of Einstein's general theory of relativity have been constructed in the framework of nonlinear electrodynamics. In particular, magnetically charged black hole solutions in the framework…

General Relativity and Quantum Cosmology · Physics 2019-04-12 Askar Ali , Khalid Saifullah

The final stage of a binary black hole merger is ringdown, in which the system is described by a Kerr black hole with quasinormal mode perturbations. It is far from straightforward to identify the time at which the ringdown begins. Yet…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Swetha Bhagwat , Maria Okounkova , Stefan W. Ballmer , Duncan A. Brown , Matthew Giesler , Mark A. Scheel , Saul A. Teukolsky

The covariant phase technique is used to compute the constraint algebra of the stationary axisymmetric charged black hole. A standard Virasoro subalgebra with corresponding central charge is constructed at a Killing horizon with Carlip's…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jiliang Jing , Mu-Lin Yan

Einstein's system of equations in the ADM decomposition involves two subsystems of equations: evolution equations and constraint equations. For numerical relativity, one typically solves the constraint equations only on the initial time…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nicolae Tarfulea

The most critical limitation to the wide-scale use of classical molecular dynamics for alloy design is the availability of suitable interatomic potentials. In this work, we demonstrate a simple procedure to generate a library of accurate…

Materials Science · Physics 2012-09-05 Logan Ward , Anupriya Agrawal , Katharine M. Flores , Wolfgang Windl

The characteristic initial value problem has been implemented as a robust computational algorithm (the PITT NULL CODE), with direct application to binary black holes. The event horizon can be analyzed by characteristic techniques as a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jeffrey Winicour

We propose a new scenario for the evolution of a binary of primordial black holes (PBHs). We consider a dynamical friction by ambient dark matter, scattering of dark matter particles with a highly eccentric orbit besides the standard…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-31 Kimitake Hayasaki , Keitaro Takahashi , Yuuiti Sendouda , Shigehiro Nagataki

Binary embedding is a nonlinear dimension reduction methodology where high dimensional data are embedded into the Hamming cube while preserving the structure of the original space. Specifically, for an arbitrary $N$ distinct points in…

Data Structures and Algorithms · Computer Science 2019-01-24 Xinyang Yi , Constantine Caramanis , Eric Price

A general method is presented for estimating the uncertainty in hybrid models of gravitational waveforms from binary black-hole systems with arbitrary physical parameters, and thence the highest allowable initial orbital frequency for a…

General Relativity and Quantum Cosmology · Physics 2011-10-10 Michael Boyle

We perform several black-hole binary evolutions using fully nonlinear numerical relativity techniques at separations large enough that low-order post-Newtonian expansions are expected to be accurate. As a case study, we evolve an equal-mass…

General Relativity and Quantum Cosmology · Physics 2013-07-04 Carlos O. Lousto , Yosef Zlochower

We construct series of solutions for the Kerr-type rotating black hole with non-trivial matter in flat and (A)dS backgrounds. Symmetry arguments and singularity analysis in the proposed black hole models fix the free parameters of the…

High Energy Physics - Theory · Physics 2024-11-13 A. J. Nurmagambetov

An orbiting black hole binary will generate strong gravitational radiation signatures, making these binaries important candidates for detection in gravitational wave observatories. The gravitational radiation is characterized by the orbital…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Erin Bonning , Pedro Marronetti , David Neilsen , Richard Matzner

We solve the Hamiltonian and momentum constraints of general relativity for two black holes with nearly extremal spins and relativistic boosts in the puncture formalism. We use a non-conformally-flat ansatz with an attenuated superposition…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Ian Ruchlin , James Healy , Carlos O. Lousto , Yosef Zlochower

Employing the free energy landscape, we study the phase transition and its dynamics for a class of regular black holes in Anti-de Sitter spacetime governed by the coupling of non-linear electrodynamics, which reduces to Hayward and Bardeen…

General Relativity and Quantum Cosmology · Physics 2021-06-22 A. Naveena Kumara , Shreyas Punacha , Kartheek Hegde , C. L. Ahmed Rizwan , Md Sabir Ali , K. M. Ajith

Stationary axisymmetric binary systems of unequal counterrotating Kerr-Newman sources with a massless strut in between are studied. By means of the choice of a suitable parametrization, the axis conditions and the absence of individual…

General Relativity and Quantum Cosmology · Physics 2017-07-03 I. Cabrera-Munguia

We propose a machine learning-based approach for parameter estimation of Massive Black Hole Binaries (MBHBs), leveraging normalizing flows to approximate the likelihood function. By training these flows on simulated data, we can generate…

General Relativity and Quantum Cosmology · Physics 2025-09-18 Iván Martín Vílchez , Carlos F. Sopuerta

Two new formulations of general relativity are introduced. The first one is a parabolization of the Arnowitt, Deser, Misner (ADM) formulation and is derived by addition of combinations of the constraints and their derivatives to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vasileios Paschalidis

An exact and regular solution, describing a couple of charged and spinning black holes, is generated in an external electromagnetic field, via Ernst technique, in Einstein-Maxwell gravity. A wormhole instantonic solution interpolating…

General Relativity and Quantum Cosmology · Physics 2014-02-28 Marco Astorino
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