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We perform $3+1$ relativistic numerical simulations to study primordial black hole (PBH) formation from the collapse of adiabatic super-horizon non-spherical perturbations generated from curvature fluctuations obeying random Gaussian…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Albert Escrivà , Chul-Moon Yoo

A quasi-black hole, either non-extremal or extremal, can be broadly defined as the limiting configuration of a body when its boundary approaches the body's quasihorizon. We consider the mass contributions and the mass formula for a static…

General Relativity and Quantum Cosmology · Physics 2008-12-30 José P. S. Lemos , Oleg B. Zaslavskii

We present a general construction of initial data for Einstein's equations containing an arbitrary number of black holes, each of which is instantaneously in equilibrium. Each black hole is taken to be a marginally trapped surface and plays…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sergio Dain , Jose Luis Jaramillo , Badri Krishnan

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 spectral numerical simulations of 16 orbits, merger, and ringdown of an equal-mass non-spinning binary black hole system are presented. Gravitational waveforms from these simulations have accumulated numerical phase errors through…

General Relativity and Quantum Cosmology · Physics 2009-01-20 Mark A. Scheel , Michael Boyle , Tony Chu , Lawrence E. Kidder , Keith D. Matthews , Harald P. Pfeiffer

Binary black hole spacetimes with a helical Killing vector, which are discussed as an approximation for the early stage of a binary system, are studied in a projection formalism. In this setting the four dimensional Einstein equations are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Klein

We examine how future gravitational-wave measurements from merging black holes (BHs) can be used to infer the shape of the black-hole mass function, with important implications for the study of star formation and evolution and the…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-07 Ely D. Kovetz , Ilias Cholis , Patrick C. Breysse , Marc Kamionkowski

We argue that the event horizon of a binary black hole merger, in the extreme-mass-ratio limit where one of the black holes is much smaller than the other, can be described in an exact analytic way. This is done by tracing in the…

General Relativity and Quantum Cosmology · Physics 2022-03-07 Roberto Emparan , Marina Martinez

Binary black hole simulations starting from quasi-circular (i.e., zero radial velocity) initial data have orbits with small but non-zero orbital eccentricities. In this paper the quasi-equilibrium initial-data method is extended to allow…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Harald P. Pfeiffer , Duncan A. Brown , Lawrence E. Kidder , Lee Lindblom , Geoffrey Lovelace , Mark A. Scheel

The formation and semi-classical evaporation of two-dimensional black holes is studied in an exactly solvable model. Above a certain threshold energy flux, collapsing matter forms a singularity inside an apparent horizon. As the black hole…

High Energy Physics - Theory · Physics 2009-10-07 J. Russo , L. Susskind , L. Thorlacius

Starting from the eigenvalue equation for the mass of a black hole derived by M\"akel\"a and Repo, we show that, by reparametrizing the radial coordinate and the wave function, it can be rewritten as the eigenvalue equation of a quantum…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Wilfredo Yupanqui Carpio , Octavio Obregón

The most general charged and rotating black hole in Kaluza-Klein theory is known to be described by the Rasheed-Larsen solution. When the under-rotating extremal limit of this solution is taken, it falls into a general class of solutions of…

General Relativity and Quantum Cosmology · Physics 2024-02-23 Edward Teo , Thomas Wan

We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein-de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio M. C. V. Goncalves

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

It is shown that, if gas accretion via a disk onto the central supermassive black hole is efficient only for surface density Sigma >= 10 g/cm^2, the black hole mass - galactic bulge velocity dispersion relation (Tremaine et al 2002) is…

Astrophysics · Physics 2007-05-23 Renyue Cen

We give a full metric describing the gravitational field of a static and axisymmetric thin disk without radial pressure encircling a Schwarzschild black hole. The disk density profiles are astrophysically realistic, stretching from the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Petr Kotlařík , David Kofroň

The values of the bending delays in the signal of a radio pulsar in a binary with a stellar mass black hole as a companion have been calculated accurately within a full general relativistic framework considering the Schwarzchid spacetime…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Jyotijwal Debnath , Manjari Bagchi , Avishek Basu

We report on measurements of the stellar velocity dispersion (sigma) from the optical spectra of the host galaxies of four BL Lac objects. Together with our earlier results on seven BL Lac objects (Falomo et al. 2002), and with the…

Astrophysics · Physics 2009-11-07 R. Falomo , J. K. Kotilainen , N. Carangelo , A. Treves

The spin of the final black hole in the coalescence of nonspinning black holes is determined by the ``residual'' orbital angular momentum of the binary. This residual momentum consists of the orbital angular momentum that the binary is not…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. C. Washik , J. Healy , F. Herrmann , I. Hinder , D. M. Shoemaker , P. Laguna , R. A. Matzner

We study the formation of a black hole in the collision of two Gaussian packets. Rather than following their dynamical evolution in details, we assume a horizon forms when the mass function for the two packets becomes larger than half the…

High Energy Physics - Theory · Physics 2015-06-05 R. Casadio , O. Micu , A. Orlandi