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Related papers: Spin-induced Quadrupole Moment (SIQM) Test for Ecc…

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In general relativity, the motion of an extended test body is influenced by its proper rotation, or spin. We present a covariant and physically self-consistent Hamiltonian framework to study this motion, up to quadratic order in the body's…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Paul Ramond

Eccentricity and spin precession are key observables in gravitational-wave astronomy, encoding precious information about the astrophysical formation of compact binaries together with fine details of the relativistic two-body problem.…

High Energy Astrophysical Phenomena · Physics 2026-01-05 Isobel M. Romero-Shaw , Davide Gerosa , Nicholas Loutrel

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

Extreme mass ratio inspirals (EMRIs) are excellent sources for space-based observatories to explore the properties of black holes and test no-hair theorems. We consider EMRIs with a charged compact object inspiralling onto a Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Chao Zhang , Hong Guo , Yungui Gong , Bin Wang

The compact binary system in OJ287 is modelled to contain a spinning primary black hole with an accretion disk and a non-spinning secondary black hole. Using Post Newtonian (PN) accurate equations that include 2.5PN accurate non-spinning…

High Energy Astrophysical Phenomena · Physics 2014-11-20 M. J. Valtonen , S. Mikkola , D. Merritt , A. Gopakumar , H. J. Lehto , T. Hyvönen , H. Rampadarath , R. Saunders , M. Basta , R. Hudec

We perform a systematic study of eccentric orbiting nonspinning black hole binaries. We first make a technical study of the optimal full numerical techniques to apply to these studies. We choose different gauge parameters and Courant…

General Relativity and Quantum Cosmology · Physics 2025-01-17 Giuseppe Ficarra , Carlos O. Lousto

During the fifth science run of the Laser Interferometer Gravitational-wave Observatory (LIGO), signals modelling the gravitational waves emitted by coalescing non-spinning compact-object binaries were injected into the LIGO data stream. We…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Marc van der Sluys , Ilya Mandel , Vivien Raymond , Vicky Kalogera , Christian Roever , Nelson Christensen

We analyze a rotating regular black hole spacetime with an asymptotically Minkowski core, focusing on extreme mass-ratio inspiral (EMRIs) where a stellar-mass object inspirals a supermassive black hole under consideration. Such spacetimes…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Shailesh Kumar , Tieguang Zi

One of the consequences of the black-hole "no-hair" theorem in general relativity (GR) is that gravitational radiation (quasi-normal modes) from a perturbed Kerr black hole is uniquely determined by its mass and spin. Thus, the spectrum of…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Siddharth Dhanpal , Abhirup Ghosh , Ajit Kumar Mehta , Parameswaran Ajith , B. S. Sathyaprakash

While the majority of gravitational wave (GW) events observed by the LIGO and Virgo detectors are consistent with mergers of binary black holes (BBHs) on quasi-circular orbits, some events are also consistent with non-zero orbital…

Binary black-hole systems with spins aligned or anti-aligned to the orbital angular momentum provide the natural ground to start detailed studies of the influence of strong-field spin effects on gravitational wave observations of coalescing…

General Relativity and Quantum Cosmology · Physics 2010-01-09 Christian Reisswig , Sascha Husa , Luciano Rezzolla , Ernst Nils Dorband , Denis Pollney , Jennifer Seiler

As gravitational wave astronomy has entered an era of routine detections, it becomes increasingly important to precisely measure the physical parameters of individual events and infer population properties. Eccentricity is a key observable,…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Yi-Fan Wang , Alexander H. Nitz

The spin and quadrupole moment of the supermassive black hole at the Galactic center can in principle be measured via astrometric monitoring of stars orbiting at milliparsec (mpc) distances, allowing tests of general relativistic "no-hair"…

Astrophysics of Galaxies · Physics 2010-05-18 David Merritt , Tal Alexander , Seppo Mikkola , Clifford M. Will

A tertiary body near a coalescing binary can imprint its influence on the gravitational waves (GWs) emitted by that binary in the form of center-of-mass (CoM) acceleration. An example of such a scenario is a binary black hole (BBH) merging…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Suvikranth Gera , Poulami Dutta Roy

Measurements of the binary black hole spin distribution from the growing catalog of gravitational-wave observations can help elucidate the astrophysical processes shaping the formation and evolution of these systems. Spin-orbit resonances…

High Energy Astrophysical Phenomena · Physics 2026-05-29 Sylvia Biscoveanu

Accurate modelling of black hole binaries is critical to achieve the science goals of gravitational-wave detectors. Modelling such configurations relies strongly on calibration to numerical-relativity (NR) simulations. Binaries on…

There is robust observational evidence supporting the existence of $5 - 20$ $M_\odot$ compact bodies in X-ray binary systems and of $10^5 - 10^9$ $M_\odot$ bodies at the center of many galaxies. All these objects are commonly interpreted as…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Cosimo Bambi

We compute here the spin-orbit and spin-spin couplings needed for an accurate computation of the phasing of gravitational waves emitted by comparable-mass binaries on eccentric orbits at the second post-Newtonian (PN) order. We use a…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Antoine Klein , Philippe Jetzer

The "no-hair" theorem states that astrophysical black holes are fully characterised by just two numbers: their mass and spin. The gravitational-wave emission from a perturbed black-hole consists of a superposition of damped sinusoids, known…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Juan Calderón Bustillo , Paul D. Lasky , Eric Thrane

To date, close to fifty presumed black hole binary mergers were observed by the LIGO and Virgo detectors. The analyses have been done with an assumption that these objects are black holes by limiting the spin prior to the Kerr bound.…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Nami Uchikata , Tatsuya Narikawa