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A Kerr black hole with mass $M$ and angular momentum $J$ satisfies the extremality inequality $|J| \le M^2$. In the presence of matter and/or gravitational radiation, this bound needs to be reformulated in terms of local measurements of the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Tanja Bode , Pablo Laguna , Richard A. Matzner

The waveforms from binary black hole mergers include inspiral, merger, and ringdown parts. Usually, the inspiral waveform can be obtained by calibrating from post-Newtonian approximation; The merger and ringdown ones can be gotten from the…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Song Li , Wen-Biao Han

In this exploratory study, we demonstrate the capability of the numerical-relativity code BAM to simulate fully relativistic black-hole binary-single and binary-binary encounters. While previous work has demonstrated the general capability…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Felix M. Heinze , Bernd Brügmann , Tim Dietrich , Ivan Markin

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

The behavior of merging black holes (including the emitted gravitational waves and the properties of the remnant) can currently be computed only by numerical simulations. This paper introduces ten numerical relativity simulations of binary…

We developed a new and unified scheme for describing both quark spin and orbital angular momenta in symmetry-breaking chiral quark model. The loss of quark spin in the chiral splitting processes is compensated by the gain of the orbital…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiaotong Song

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

Using the Multipolar post-Minskowskian formalism, we compute the linear momentum flux from black-hole binaries in circular orbits and having no spins. The total linear momentum flux contains various types of instantaneous (which are…

General Relativity and Quantum Cosmology · Physics 2013-04-23 Chandra Kant Mishra , K G Arun , Bala R Iyer

Compact binaries consisting of neutron stars / black holes on eccentric orbit undergo a perturbed Keplerian motion. The perturbations are either of relativistic origin or are related to the spin, mass quadrupole and magnetic dipole moments…

Astrophysics · Physics 2016-08-16 Zoltán Keresztes , Balázs Mikóczi , László Á. Gergely

We present results from a new code for binary black hole evolutions using the moving-puncture approach, implementing finite differences in generalised coordinates, and allowing the spacetime to be covered with multiple communicating…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Denis Pollney , Christian Reisswig , Erik Schnetter , Nils Dorband , Peter Diener

Gravitational waves carry energy, angular momentum, and linear momentum. In generic binary black hole mergers, the loss of linear momentum imparts a recoil velocity, or a "kick", to the remnant black hole. We exploit recent advances in…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Vijay Varma , Maximiliano Isi , Sylvia Biscoveanu

Gravitational wave observations of eccentric binary black hole mergers will provide unequivocal evidence for the formation of these systems through dynamical assembly in dense stellar environments. The study of these astrophysically…

General Relativity and Quantum Cosmology · Physics 2019-09-06 E. A. Huerta , Roland Haas , Sarah Habib , Anushri Gupta , Adam Rebei , Vishnu Chavva , Daniel Johnson , Shawn Rosofsky , Erik Wessel , Bhanu Agarwal , Diyu Luo , Wei Ren

Tidal torques acting on a gaseous accretion disk around a binary black hole can create a gap in the disk near the orbital radius. At late times, when the binary inspiral timescale due to gravitational wave emission becomes shorter than the…

High Energy Astrophysical Phenomena · Physics 2015-03-17 Yuk Tung Liu , Stuart L. Shapiro

We present a semi-analytical binary black hole (BBH) metric approximation that models the entire evolution of the system from inspiral to merger. The metric is constructed as a boosted Kerr-Schild superposition following post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Luciano Combi , Sean M. Ressler

Over the last few years enormous progress has been made in the numerical description of the inspiral and merger of binary black holes. A particular effort has gone into the modelling of the physical properties of the final black hole,…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Luciano Rezzolla

We propose a new scenario for the evolution of a binary of primordial black holes (PBHs). We consider a dynamical friction by ambient dark matter, scattering of dark matter particles with a highly eccentric orbit besides the standard…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-31 Kimitake Hayasaki , Keitaro Takahashi , Yuuiti Sendouda , Shigehiro Nagataki

We produce the first numerical relativity binary black hole gravitational waveforms in a higher-curvature theory beyond general relativity. In particular, we study head-on collisions of binary black holes in order-reduced dynamical…

General Relativity and Quantum Cosmology · Physics 2019-11-20 Maria Okounkova , Leo C. Stein , Mark A. Scheel , Saul A. Teukolsky

The localization of stellar-mass binary black hole mergers using gravitational waves is critical in understanding the properties of the binaries' host galaxies, observing possible electromagnetic emission from the mergers, or using them as…

High Energy Astrophysical Phenomena · Physics 2019-08-07 K. Rainer Corley , Imre Bartos , Leo P. Singer , Andrew R. Williamson , Zoltan Haiman , Bence Kocsis , Samaya Nissanke , Zsuzsa Marka , Szabolcs Marka

We study the inspiral, merger and ringdown of unequal mass black hole binaries by analyzing a catalogue of numerical simulations for seven different values of the mass ratio (from q=M2/M1=1 to q=4). We compare numerical and Post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Berti , Vitor Cardoso , Jose A. Gonzalez , Ulrich Sperhake , Mark Hannam , Sascha Husa , Bernd Bruegmann

We study the spin dynamics of individual black holes in a binary system. In particular we focus on the polar precession of spins and the possibility of a complete flip of spins with respect to the orbital plane. We perform a full numerical…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Carlos O. Lousto , James Healy , Hiroyuki Nakano