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Approximate solutions to the Einstein field equations are a valuable tool to investigate gravitational phenomena. An important aspect of any approximation is to investigate and quantify its regime of validity. We present a study that…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Tanja Bode , Pablo Laguna , Deirdre M. Shoemaker , Ian Hinder , Frank Herrmann , Birjoo Vaishnav

We study the momentum and Hamiltonian constraints of vacuum Einstein equations, within the Bowen-York formalism, for two interacting black holes in close separation, with anti-parallel spins and anti-parallel linear momenta. We give an…

General Relativity and Quantum Cosmology · Physics 2023-06-22 Emel Altas , Emine Ertugrul , Bayram Tekin

We investigate the universality of some features for the extremal phase transition of black holes and unify all the approaches which have been applied in different spacetimes. Unlike the other existing approaches where the information of…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Krishnakanta Bhattacharya , Sumit Dey , Bibhas Ranjan Majhi , Saurav Samanta

Dark matter overdensities around black holes can alter the dynamical evolution of a companion object orbiting around it, and cause a dephasing of the gravitational waveform. Here, we present a refined calculation of the co-evolution of the…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Theophanes K. Karydas , Bradley J. Kavanagh , Gianfranco Bertone

The ``moving puncture'' technique has led to dramatic advancements in the numerical simulations of binary black holes. Hannam et.al. have recently demonstrated that, for suitable gauge conditions commonly employed in moving puncture…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas W. Baumgarte , Stephen G. Naculich

To derive black hole thermodynamics in any quantum theory of gravity, one must introduce constraints that ensure that a black hole is actually present. For a large class of black holes, the imposition of such ``horizon constraints'' allows…

General Relativity and Quantum Cosmology · Physics 2015-05-13 S. Carlip

Using gravitational waves to probe the geometry of the ringing remnant black hole formed in a binary black hole coalescence is a well-established way to test Einstein's theory of general relativity. However, doing so requires knowledge of…

Hawking radiation, despite its presence in theoretical physics for over thirty years, remains elusive and undetected. It also suffers, in its original context of gravitational black holes, from conceptual difficulties. Of particular note is…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Scott James Robertson

We perform stability analysis of an accretion disc around a stellar mass black hole. The cooling of the accretion flow due to bremsstrahlung and synchrotron radiation processes are considered. The solutions with shock are perturbed at the…

Astrophysics · Physics 2007-05-23 Sivakumar G. Manickam

We study the partition function and entropy of U(1) gauge theories with multiple boundaries on the black holes background. The nontrivial boundary conditions allow residual zero longitudinal momentum modes and Wilson lines stretched between…

High Energy Physics - Theory · Physics 2023-06-23 Peng Cheng

Exact solutions of the Einstein-Maxwell equations that describe moving black holes in a cosmological setting are discussed with the aim of discovering the global structure and testing cosmic censorship. Continuation beyond the horizons…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Dieter R. Brill

We present a detailed description of techniques developed to combine 3D numerical simulations and, subsequently, a single black hole close-limit approximation. This method has made it possible to compute the first complete waveforms…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Baker , M. Campanelli , C. Lousto

Quantum physics at scales large compared to the Planck scale is described in the framework of classical space-time geometries. A criterion for selecting these backgrounds out of quantized gravity is proposed. It leads to an instability of…

General Relativity and Quantum Cosmology · Physics 2009-09-25 F. Englert

In this paper we present a method to study the frequency shift of signals sent from near a Schwarzschild black hole that grows or shrinks through accretion. We construct the numerical solution of Einstein's equations sourced by a spherical…

General Relativity and Quantum Cosmology · Physics 2021-10-18 F. S. Guzman , I. Alvarez-Rios , J. A. Gonzalez

This thesis is focussed to study various aspects of black hole physics. Our approach is a semi-classical type, where the spacetime geometry of black holes is considered to be classical but the fields moving in the background are quantum in…

General Relativity and Quantum Cosmology · Physics 2012-09-18 Sujoy Kumar Modak

Here we have developed the general parametrization for spherically symmetric and asymptotically flat black-hole spacetimes in an arbitrary metric theory of gravity. The parametrization is similar in spirit to the parametrized post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Roman A. Konoplya , Thomas D. Pappas , Zdenek Stuchlík

This paper treats boundary conditions on black hole horizons for the full 3+1D Einstein equations. Following a number of authors, the apparent horizon is employed as the inner boundary on a space slice. It is emphasized that a further…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Douglas M. Eardley

We review in a pedagogical fashion the 3+1-split which serves to put Einstein's equations into the form of a dynamical system with constraints. We then discuss the constraint equations under the simplifying assumption of time-symmetry.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Domenico Giulini

Field equations of a classical, geometric, theory of gravity, augmented with some semiclassical considerations strongly suggest that the gravitational field representing a stationary black hole can be simply described with a few…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Aydin Tavlayan , Bayram Tekin

We construct the relativistic standard steady, optically thick, cold and geometrically thin accretion disk around a distorted Schwarzschild black hole. The distortion of this static and axially symmetric black hole solution, is connected to…

High Energy Astrophysical Phenomena · Physics 2025-02-14 Shokoufe Faraji , Eva Hackmann