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Recently Abrahams and Cook devised a method of estimating the total radiated energy resulting from collisions of distant black holes by applying Newtonian evolution to the holes up to the point where a common apparent horizon forms around…

General Relativity and Quantum Cosmology · Physics 2010-04-06 John Baker , Chun Biu Li

We evaluate how much energy can be converted into gravitational radiation in head-on collision of black holes. We estimate it by the area theorem of black hole horizon incorporating merging entropy of colliding black holes from a viewpoint…

General Relativity and Quantum Cosmology · Physics 2013-04-24 Masaru Siino

The first fully non-linear numerical simulations of colliding charged black holes in D=4 Einstein-Maxwell theory were recently reported arXiv:1205.1063. These collisions were performed for black holes with equal charge-to-mass ratio, for…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Miguel Zilhão , Vitor Cardoso , Carlos Herdeiro , Luis Lehner , Ulrich Sperhake

Astrophysical black holes could be nearly extremal (that is, rotating nearly as fast as possible); therefore, nearly extremal black holes could be among the binaries that current and future gravitational-wave observatories will detect.…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Mark A. Scheel , Matthew Giesler , Daniel A. Hemberger , Geoffrey Lovelace , Kevin Kuper , Michael Boyle , Bela Szilagyi , Lawrence E. Kidder

We numerically implement a quasi-spherical approximation scheme for computing gravitational waveforms for coalescing black holes, testing it against angular momentum by applying it to Kerr black holes. As error measures, we take the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hisa-aki Shinkai , Sean A. Hayward

Motivated by gravitational wave observations of binary black hole mergers, we present a procedure to compute the leading order nonlinear gravitational wave interactions around a Kerr black hole. We describe the formalism used to derive the…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Nicholas Loutrel , Justin L. Ripley , Elena Giorgi , Frans Pretorius

Binary collisions between charged particles in an external magnetic field are considered in second-order perturbation theory, starting from the unperturbed helical motion of the particles. The calculations are done with the help of an…

Plasma Physics · Physics 2015-05-13 H. B. Nersisyan , G. Zwicknagel

The correspondence between black holes and colliding waves extends to cover the near horizon geometry of rotating black holes and colliding waves with cross polarization. Extreme Kerr and Kerr-Newman geometries are given as examples.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mustafa Halilsoy

Numerical relativity (NR) provides the most accurate waveforms for comparable-mass binary black holes but becomes prohibitively expensive for increasingly asymmetric mass ratios. Point-particle black hole perturbation theory (ppBHPT), which…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Tousif Islam , Gaurav Khanna , Scott E. Field

In backgrounds with compact dimensions there may exist several phases of black objects including the black-hole and the black-string. The phase transition between them raises puzzles and touches fundamental issues such as topology change,…

High Energy Physics - Theory · Physics 2009-11-10 Barak Kol , Evgeny Sorkin , Tsvi Piran

We develop a relativistic perturbation theory for scalar clouds around rotating black holes. We first introduce a relativistic product and corresponding orthogonality relation between modes, extending a recent result for gravitational…

General Relativity and Quantum Cosmology · Physics 2024-02-02 Enrico Cannizzaro , Laura Sberna , Stephen R. Green , Stefan Hollands

The close limit approximation of binary black hole is a powerful method to study gravitational-wave emission from highly non-linear geometries. In this work, we use it as a tool to model black hole spacetimes in theories of gravity with a…

General Relativity and Quantum Cosmology · Physics 2021-12-22 Lorenzo Annulli

We present results for two colliding black holes (BHs), with angular momentum, spin, and unequal mass. For the first time gravitational waveforms are computed for a grazing collision from a full 3D numerical evolution. The collision can be…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miguel Alcubierre , Werner Benger , Bernd Bruegmann , Gerd Lanfermann , Lars Nerger , Edward Seidel , Ryoji Takahashi

We report an approximate, non-trivial mapping of angular (linear) momentum in gravitational waves obtained from numerical relativity (NR) and adiabatic point-particle black hole perturbation theory (BHPT) in the comparable mass regime for…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Tousif Islam

We take into account the dynamics of a complete third post-Newtonian conservative Hamiltonian of two spinning black holes, where the orbital part arrives at the third post-Newtonian precision level and the spin-spin part with the spin-orbit…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Guoqing Huang , Xiaoting Ni , Xin Wu

The galaxy number density is a key quantity to compare theoretical predictions to the observational data from current and future Large Scale Structure surveys. The precision demanded by these Stage IV surveys requires the use of second…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-08 Jorge L. Fuentes , Juan Carlos Hidalgo , Karim A. Malik

The relaxation of a distorted black hole to its final state provides important tests of general relativity within the reach of current and upcoming gravitational wave facilities. In black hole perturbation theory, this phase consists of a…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Vishal Baibhav , Emanuele Berti , Vitor Cardoso , Gaurav Khanna

We perform the first nonlinear and self-consistent study of the merger and ringdown of a black hole mimicking object with stable light rings. To that end, we numerically solve the full Einstein-Klein-Gordon equations governing the head-on…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Nils Siemonsen

Black and white holes play remarkably contrasting roles in general relativity versus observational astrophysics. While there is overwhelming observational evidence for the existence of compact objects that are "cold, dark, and heavy", which…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Rudeep Gaur , Matt Visser

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
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