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We derive an analytic phenomenological expression that predicts the final mass of the black-hole remnant resulting from the merger of a generic binary system of black holes on quasi-circular orbits. Besides recovering the correct…

General Relativity and Quantum Cosmology · Physics 2014-04-17 Enrico Barausse , Viktoriya Morozova , Luciano Rezzolla

The mass--energy formula of black holes implies that up to 50% of the energy can be extracted from a static black hole. Such a result is reexamined using the recently established analytic formulas for the collapse of a shell and expression…

Astrophysics · Physics 2009-11-07 Remo Ruffini , Luca Vitagliano

Numerical relativity has seen incredible progress in the last years, and is being applied with success to a variety of physical phenomena, from gravitational-wave research and relativistic astrophysics to cosmology and high-energy physics.…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ulrich Sperhake , Vitor Cardoso , Christian D. Ott , Erik Schnetter , Helvi Witek

We use null hypersurface techniques in a new approach to calculate the retarded waveform from a binary black hole merger in the close approximation. The process of removing ingoing radiation from the system leads to two notable features in…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sascha Husa , Yosef Zlochower , Roberto Gomez , Jeffrey Winicour

We investigate the spin interaction and the gravitational radiation thermally allowed in a head-on collision of two rotating Hayward black holes. The Hayward black hole is a regular black hole in a modified Einstein equation, and hence it…

General Relativity and Quantum Cosmology · Physics 2017-07-24 Bogeun Gwak

Quantum black holes are difficult to describe. We consider two seemingly divergent approaches, high-energy scattering and the proposal to regard black holes as Bose-Einstein condensates of gravitons, and establish a connection between them.…

High Energy Physics - Theory · Physics 2015-06-22 Florian Kuhnel , Bo Sundborg

We investigate classical formation of a D-dimensional black hole in a high energy collision of two particles. The existence of an apparent horizon is related to the solution of an unusual boundary-value problem for Poisson's equation in…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Douglas M. Eardley , Steven B. Giddings

We investigate the electromagnetic radiation released during the high energy collision of a charged point particle with a four-dimensional Schwarzschild black hole. We show that the spectra is flat, and well described by a classical…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Vitor Cardoso , Jose' P. S. Lemos , Shijun Yoshida

A generalized Newtonian potential is derived from the geodesic motion of test particles in Schwarzschild spacetime. This potential reproduces several relativistic features with higher accuracy than commonly used pseudo-Newtonian approaches.…

High Energy Astrophysical Phenomena · Physics 2013-06-17 Emilio Tejeda , Stephan Rosswog

A four-dimensional asymptotic expansion scheme is used to study the next order effects of the nonlinearity near a spinning dynamical black hole. The angular momentum flux and energy flux formula are then obtained by constructing the…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Yu-Huei Wu , Chih-Hung Wang

We derive analytically the amplitude of the quadratic quasi-normal mode generated in the ringdown stage of the gravitational waveform produced by the ultra-relativistic head-on collision of two non-spinning Schwarzschild black holes.…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Alex Kehagias , Davide Perrone , Antonio Riotto

A Schr\"odinger-picture description of the evolving quantum state of Hawking radiation is given, based on an ADM decomposition using time slicings that smoothly cross the horizon. This treatment avoids requiring a role for trans-planckian…

High Energy Physics - Theory · Physics 2021-01-04 Steven B. Giddings

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

The perturbation theory of black holes has been useful recently for providing estimates of gravitational radiation from black hole collisions. Second order perturbation theory, relatively undeveloped until recently, has proved to be…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Reinaldo Gleiser , Carlos Nicasio , Richard Price , Jorge Pullin

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical…

General Relativity and Quantum Cosmology · Physics 2014-10-06 Alexandre Le Tiec

Recent developments in numerical relativity have made it possible to follow reliably the coalescence of two black holes from near the innermost stable circular orbit to final ringdown. This opens up a wide variety of exciting astrophysical…

The interaction energy between two black holes at large separation distance is calculated. The first term in the expansion corresponds to the Newtonian interaction between the masses. The second term corresponds to the spin-spin…

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

We give a general description of the evolving quantum state of a Schwarzschild black hole, in the quantum field theory approximation. Such a time-dependent description is based on introducing a choice of time slices. We in particular…

High Energy Physics - Theory · Physics 2022-10-05 Steven B. Giddings , Julie Perkins

The late stage of the inspiral of two black holes may have important non-Newtonian effects that are unrelated to radiation reaction. To understand these effects we approximate a slowly inspiralling binary by a stationary solution to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 John T Whelan , Christopher Beetle , Walter Landry , Richard H Price

The low-energy dynamics of any system admitting a continuum of static configurations is approximated by slow motion in moduli (configuration) space. Here, following Ferrell and Eardley, this moduli space approximation is utilized to study…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Joan Camps , Shahar Hadar , Nicholas S. Manton