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Related papers: Trumpet-puncture initial data for black holes

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Accurately inferring black hole spin is crucial for understanding black hole dynamics and their astrophysical environments. In this work, we outline a geometric method for spin estimation by using the interferometric shape of the first…

High Energy Astrophysical Phenomena · Physics 2025-10-22 Lennox S. Keeble , Alejandro Cárdenas-Avendaño , Daniel C. M. Palumbo

Dynamical black holes in the non-perturbative regime are not mathematically well understood. Studying approximate symmetries of spacetimes describing dynamical black holes gives an insight into their structure. Utilising the property that…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Robert Sansom , Juan A. Valiente Kroon

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

The principle of balanced holography, introduced in [1], posits that black hole information is stored in non-local correlations between the interior and exterior. Based on this concept, we propose that black hole information decomposes into…

High Energy Physics - Theory · Physics 2013-06-05 Erik Verlinde , Herman Verlinde

On the basis of a recently proposed strategy of finite element integration in time domain for partial differential equations with a singular source term, we present a fourth order algorithm for non-rotating black hole perturbations in the…

General Relativity and Quantum Cosmology · Physics 2011-06-17 Patxi Ritter , Alessandro D. A. M. Spallicci , Sofiane Aoudia , Stephane Cordier

Initial data for numerical evolutions of binary-black holes have been dominated by "conformally flat" (CF) data (i.e., initial data where the conformal background metric is chosen to be flat) because they are easy to construct. However, CF…

General Relativity and Quantum Cosmology · Physics 2012-11-15 Bryant Garcia , Geoffrey Lovelace , Lawrence E. Kidder , Michael Boyle , Saul A. Teukolsky , Mark A. Scheel , Bela Szilagyi

I study the time--symmetric initial--data problem in theories with a massless scalar field (dilaton), free or coupled to a Maxwell field in the stringy way, finding different initial--data sets describing an arbitrary number of black holes…

High Energy Physics - Theory · Physics 2016-08-24 T. Ortin

We present a set of boundary conditions for solving the elliptic equations in the Initial Data Problem for space-times containing a black hole, together with a number of constraints to be satisfied by the otherwise freely specifiable…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. L. Jaramillo , E. Gourgoulhon , G. A. Mena Marugan

We analytically solve the constraints in General Relativity for two black holes with arbitrary momenta and spin up to third order in these parameters. We compute the location and geometry of the apparent horizon, which depend on the spins,…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Leyla Ogurol , Tore Boybeyi , Bayram Tekin

We present an algorithm for treating mesh refinement interfaces in numerical relativity. We detail the behavior of the solution near such interfaces located in the strong field regions of dynamical black hole spacetimes, with particular…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Breno Imbiriba , John Baker , Dae-Il Choi , Joan Centrella , David R. Fiske , J. David Brown , James R. van Meter , Kevin Olson

We compute the entropy of systems of quantum particles satisfying the fractional exclusion statistics in the space-time of 2+1 dimensional black hole by using the brick-wall method. We show that the entropy of each effective quantum field…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hyeong-Chan Kim , Yoonbai Kim , Phillial Oh

The construction of initial-data sets representing binary black-hole configurations in quasi-circular orbits is studied in the context of the conformal-imaging formalism. An effective-potential approach for locating quasi-circular orbits is…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Gregory B. Cook

The production of numerical relativity waveforms that describe quasicircular binary black hole mergers requires high-quality initial data, and an algorithm to iteratively reduce residual eccentricity. To date, these tools remain closed…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Sarah Habib , Antoni Ramos-Buades , E. A. Huerta , Sascha Husa , Roland Haas , Zachariah Etienne

We investigate the stationary end-state obtained by evolving a collapsing spherical star with the gauges routinely adopted to study puncture black holes. We compare the end-state of the collapse with the trumpet solution found in the…

General Relativity and Quantum Cosmology · Physics 2011-03-28 Marcus Thierfelder , Sebastiano Bernuzzi , David Hilditch , Bernd Bruegmann , Luciano Rezzolla

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

We present a formalism for constructing quasi-equilibrium binary black hole initial data suitable for numerical evolution. We construct quasi-equilibrium models by imposing an approximate helical Killing symmetry appropriate for…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hwei-Jang Yo , James N. Cook , Stuart L. Shapiro , Thomas W. Baumgarte

We present an algorithm for calculating the complete data on an event horizon which constitute the necessary input for characteristic evolution of the exterior spacetime. We apply this algorithm to study the intrinsic and extrinsic geometry…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Roberto Gomez , Sascha Husa , Jeffrey Winicour

We prove the existence of a family of initial data for the Einstein vacuum equation which can be interpreted as the data for two Kerr-like black holes in arbitrary location and with spin in arbitrary direction. This family of initial data…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sergio Dain

Perturbation techniques can be used as an alternative to supercomputer calculations in calculating gravitational radiation emitted by colliding black holes, provided the process starts with the black holes close to each other. We give a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hans-Peter Nollert , John Baker , Richard Price , Jorge Pullin

In numerical evolutions of binary black holes (BBH) it is desirable to easily control the orbital eccentricity of the BBH, and the number of orbits completed by the binary through merger. This paper presents fitting formulae that allow to…

General Relativity and Quantum Cosmology · Physics 2012-10-11 Abdul H. Mroué , Harald P. Pfeiffer
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