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Using the Teukolsky and Sasaki-Nakamura formalisms for the perterbations around a Kerr black hole, we calculate the energy flux of gravitational waves induced by a {\it spinning} particle of mass $\mu$ and spin $S$ moving in circular orbits…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Takahiro Tanaka , Yasushi Mino , Misao Sasaki , Masaru Shibata

We compute the leading order contribution to radiative losses in the case of spinning binaries with aligned spins due to their spin-orbit interaction. The orbital average along hyperboliclike orbits is taken through an appropriate…

General Relativity and Quantum Cosmology · Physics 2023-09-04 Donato Bini , Andrea Geralico , Piero Rettegno

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 perform several black-hole binary evolutions using fully nonlinear numerical relativity techniques at separations large enough that low-order post-Newtonian expansions are expected to be accurate. As a case study, we evolve an equal-mass…

General Relativity and Quantum Cosmology · Physics 2013-07-04 Carlos O. Lousto , Yosef Zlochower

Thorne and Kidder give expressions which allow for analytical estimates of the "kick", it i.e. the recoil, produced from asymmetrical gravitational radiation during the interaction of black holes, or in fact any gravitating compact bodies.…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Sarah H. Miller , R. A. Matzner

Binary systems of black holes emit gravitational waves as they move through their orbits. While most of the emitted radiation escapes to future null infinity, a small fraction is absorbed by the black holes themselves. This is known as…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Danilo Chiaramello , Rossella Gamba

Gravitational waves from the coalescence of binary black holes carry linear momentum, causing center of mass recoil. This ``radiation rocket'' has important implications for systems with escape speeds of order the recoil velocity. We…

Astrophysics · Physics 2009-11-10 Scott A. Hughes , Marc Favata , Daniel E. Holz

In dynamically formed binaries, the spins of the black holes tend to be misaligned with the system's orbital angular momentum. This causes the spins to precess and leads to an asymmetric emission of gravitational waves. The resulting…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Jannik Mielke , Angela Borchers , Frank Ohme

The orbit-averaged fluxes of energy and angular momentum generated by a compact binary system of nonspinning particles are obtained in a popular class of massless scalar-tensor theories with first-and-a-half post-Newtonian (1.5PN) accuracy,…

General Relativity and Quantum Cosmology · Physics 2025-07-31 David Trestini

Recent perturbative self-force computations (Shah, Friedman & Whiting, submitted to Phys. Rev. {\bf D}, arXiv:1312.1952 [gr-qc]), both numerical and analytical, have determined that half-integral post-Newtonian terms arise in the…

General Relativity and Quantum Cosmology · Physics 2014-03-14 Luc Blanchet , Guillaume Faye , Bernard F. Whiting

Using the multipolar post-Minkowskian and matching formalism we compute the gravitational waveform of inspiralling compact binaries moving in quasi-circular orbits at the second and a half post-Newtonian (2.5PN) approximation to general…

General Relativity and Quantum Cosmology · Physics 2014-11-17 K G Arun , Luc Blanchet , Bala R Iyer , Moh'd S S Qusailah

We derive new terms in the post-Newtonian (PN) expansion of the generalized redshift invariant $\langle u^t \rangle_\tau$ for a small body in eccentric, equatorial orbit about a massive Kerr black hole. The series is computed analytically…

General Relativity and Quantum Cosmology · Physics 2023-11-09 Christopher Munna

We present an extension of work in an earlier paper showing high precision comparisons between black hole perturbation theory and post-Newtonian (PN) theory in their region of overlapping validity for bound, eccentric-orbit, Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Christopher Munna , Charles R. Evans , Seth Hopper , Erik Forseth

We perform numerical simulations of black-hole binaries to study the exchange of spin and orbital angular momentum during the last, highly nonlinear, stages of the coalescence process. To calculate the transfer of angular momentum from…

Astrophysics · Physics 2009-11-11 M. Campanelli , C. O. Lousto , Y. Zlochower

Knowledge of the spin of the black hole resulting from the merger of a generic black-hole binary is of great importance for studying the cosmological evolution of supermassive black holes. Several attempts have been made to model the spin…

General Relativity and Quantum Cosmology · Physics 2011-05-24 Enrico Barausse , Luciano Rezzolla

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thierry Mora , Clifford M. Will

Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian…

High Energy Physics - Theory · Physics 2023-07-26 Gustav Uhre Jakobsen , Gustav Mogull

The equations of motion of two point masses have recently been derived at the 3PN approximation of general relativity. From that work we determine the location of the innermost circular orbit or ICO, defined by the minimum of the binary's…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luc Blanchet

We study numerically in the time domain the linearized gravitational waves emitted from a plunge into a nearly extremal Kerr black hole by solving the inhomogeneous Teukolsky equation. We consider spinning black holes for which the specific…

General Relativity and Quantum Cosmology · Physics 2016-11-02 Lior M. Burko , Gaurav Khanna

We report on the first results of self-consistent second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The second order waveforms satisfy a wave equation with an effective source term build…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hiroyuki Nakano , Carlos O. Lousto