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Related papers: Spin-multipole effects in binary black holes and t…

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In this short review we describe some of the latest endeavours to understand the activity around Black Holes. First, it has been possible to demonstrate that a large part of the electromagnetic emission observed can be interpreted as…

Astrophysics · Physics 2007-05-23 Peter L. Biermann , Mihaela Chirvasa , Heino Falcke , Sera Markof , Christian Zier

Bound orbits of black holes are very well understood. Given a Kerr black hole of mass $M$ and spin $S = aM^2$, it is simple to characterize its orbits as functions of the orbit's geometry. How do the orbits change if the black hole is…

General Relativity and Quantum Cosmology · Physics 2019-09-11 Scott A. Hughes

We study the dynamics of electrically charged black-hole binaries and their gravitational-wave emission during the inspiral phase. Within the post-Newtonian framework, we derive the conservative and dissipative dynamics up to second order…

High Energy Physics - Theory · Physics 2026-03-19 Andrea Placidi , Elisa Grilli , Marta Orselli , Matteo Pegorin , Nicola Bartolo , Pierpaolo Mastrolia

Very large mass ratio binary black hole systems are of interest both as a clean limit of the two-body problem in general relativity, as well as for their importance as sources of low-frequency gravitational waves. At lowest order, the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Lisa V. Drummond , Scott A. Hughes

In a recent paper arXiv:0709.0299, we introduced a spin expansion that provides a simple yet powerful way to understand aspects of binary black hole (BBH) merger. This approach relies on the symmetry properties of initial and final…

Astrophysics · Physics 2008-11-26 Latham Boyle , Michael Kesden

Recent gravitational wave (GW) detections showing signatures of eccentricity and spin precession underscore the need to model binary black holes (BBHs) possessing these features simultaneously. Most efforts over the past fifteen years to…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Tom Colin , Sashwat Tanay , Laura Bernard

We analyze the inspiral dynamics of equal-mass precessing black-hole binaries using multi-timescale techniques. The orbit-averaged post-Newtonian evolutionary equations admit two constants of motion in the equal-mass limit, namely the…

General Relativity and Quantum Cosmology · Physics 2017-03-06 Davide Gerosa , Ulrich Sperhake , Jakub Vošmera

Previously the linearized stress tensor of a stationary Kerr black hole has been used to determine some of the values of gravitational couplings for a spinning black hole to linear order in the Riemann tensor in the action (worldline or…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Trevor Scheopner , Justin Vines

We investigate analytically and numerically the orbits of spinning particles around black holes in the post Newtonian limit and in the presence of cosmic expansion. We show that orbits that are circular in the absence of spin, get deformed…

General Relativity and Quantum Cosmology · Physics 2019-05-22 I. Antoniou , D. Papadopoulos , L. Perivolaropoulos

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

With hydrodynamical simulations we examine the evolution of a highly misaligned circumbinary disc around a black hole binary including the effects of general relativity. We show that a disc mass of just a few percent of the binary mass can…

High Energy Astrophysical Phenomena · Physics 2023-11-20 Rebecca G. Martin , Stephen Lepp , Bing Zhang , C. J. Nixon , Anna C. Childs

We compute spin-orbit effects in the equations of motion, binding energy and energy loss of binary systems of compact objects at the next-to-leading order in the post-Newtonian (PN) approximation in the effective field theory (EFT)…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Brian A. Pardo , Natália T. Maia

We analyze the secular evolution of hierarchical triple systems in the post-Newtonian approximation to general relativity. We expand the Newtonian three-body equations of motion in powers of the ratio $a/A$, where $a$ and $A$ are the…

Earth and Planetary Astrophysics · Physics 2017-08-04 Clifford M. Will

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

We present techniques for long-term, stable, and accurate evolutions of multiple-black-hole spacetimes using the `moving puncture' approach with fourth- and eighth-order finite difference stencils. We use these techniques to explore…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos O. Lousto , Yosef Zlochower

We numerically investigate the imprints of gravitational radiation-reaction driven changes to a black hole's mass and spin on the corresponding ringdown waveform. We do so by comparing the dynamics of a perturbed black hole evolved with the…

We describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effective field theory. An arbitrary-spin formalism is generally…

High Energy Physics - Theory · Physics 2021-09-22 Zvi Bern , Andres Luna , Radu Roiban , Chia-Hsien Shen , Mao Zeng

We present new sequences of general relativistic, quasiequilibrium black hole-neutron star binaries. We solve for the gravitational field in the conformal thin-sandwich decomposition of Einstein's field equations, coupled to the equations…

Astrophysics · Physics 2009-11-11 Keisuke Taniguchi , Thomas W. Baumgarte , Joshua A. Faber , Stuart L. Shapiro

We use a previously developed scattering-amplitudes-based framework for determining two-body Hamiltonians for generic binary systems with arbitrary spin $S$. By construction this formalism bypasses difficulties with unphysical singularities…

High Energy Physics - Theory · Physics 2023-05-31 Zvi Bern , Dimitrios Kosmopoulos , Andrés Luna , Radu Roiban , Fei Teng

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