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We present our 3.5PN computation of the (2,2) mode of the gravitational wave amplitude emitted by compact binaries, on quasi-circular orbits and in the absence of spins. We use the multipolar post-Newtonian wave generation formalism,…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

Using post-Newtonian equations of motion for fluid bodies that include radiation-reaction terms at 2.5 and 3.5 post-Newtonian (PN) order O[(v/c)^5] and O[(v/c)^7] beyond Newtonian order), we derive the equations of motion for binary systems…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Han Wang , Clifford M. Will

As gravitational-wave (GW) observations of binary black holes are becoming a precision tool for physics and astronomy, several subdominant effects in the GW signals need to be accurately modeled. Previous studies have shown that neglecting…

General Relativity and Quantum Cosmology · Physics 2019-07-22 Ajit Kumar Mehta , Praveer Tiwari , Nathan K. Johnson-McDaniel , Chandra Kant Mishra , Vijay Varma , Parameswaran Ajith

Gravitational waves emitted by coalescing binary systems containing neutron stars (or other compact objects) carry signatures of the stars' internal equation of state, notably, through the influence of tidal deformations during the binary's…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Batoul Banihashemi , Justin Vines

A static and axisymmetric solution of the Einstein vacuum equations with a finite number of Relativistic Multipole Moments (RMM) is written in MSA coordinates up to certain order of approximation, and the structure of its metric components…

General Relativity and Quantum Cosmology · Physics 2010-11-11 J. L. Hernandez-Pastora , J. Ospino

Einstein's theory of general relativity predicts that the only stationary configuration of an isolated black hole is the Kerr spacetime, which has a unique multipolar structure and a spherical shape when non-spinning. This is in striking…

General Relativity and Quantum Cosmology · Physics 2020-09-02 Guilherme Raposo , Paolo Pani

A viable weak-field and slow-motion approximation method is constructed in $F(R,R_{\mu\nu}R^{\mu\nu}, R_{\mu\nu\rho\sigma}R^{\mu\nu\rho\sigma})$ gravity, a general class of fourth-order theories of gravity. By applying this method, the…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Bofeng Wu , En-Wei Liang

At the second post-Newtonian (2PN) order, the secular pericentre precession $\dot\omega^\mathrm{2PN}$ of either a full two-body system made of well detached non-rotating monopole masses of comparable size and a restricted two-body system…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Lorenzo Iorio

We propose a novel method to test the consistency of the multipole moments of compact binary systems with the predictions of General Relativity (GR). The multipole moments of a compact binary system, known in terms of symmetric and…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Shilpa Kastha , Anuradha Gupta , K. G. Arun , B. S. Sathyaprakash , Chris Van Den Broeck

The general relativistic corrections in the equations of motion and associated energy of a binary system of point-like masses are derived at the third post-Newtonian (3PN) order. The derivation is based on a post-Newtonian expansion of the…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Luc Blanchet , Guillaume Faye

In this paper, we derive a set of equations of motions for binaries on eccentric orbits undergoing spin-induced precession that can efficiently be integrated on the radiation-reaction timescale. We find a family of solutions with a…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Antoine Klein

We establish the evolution equations of the set of independent variables characterizing the 2PN rigorous conservative dynamics of a spinning compact binary, with the inclusion of the leading order spin-orbit, spin-spin and mass quadrupole -…

General Relativity and Quantum Cosmology · Physics 2010-12-09 László Árpád Gergely

In this study, gravitational waveforms emitted by inspiralling compact binary systems on quasicircular orbits in hybrid metric-Palatini gravity are computed in the lowest post-Newtonian approximation. By applying the stationary phase…

General Relativity and Quantum Cosmology · Physics 2025-07-28 P. I. Dyadina

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

The deviation from geodesic motion of the world line of an extended body endowed with multipolar structure up to the mass quadrupole moment is studied in the Kerr background according to the Mathisson-Papapetrou-Dixon model. The properties…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Donato Bini , Andrea Geralico

Spider millisecond pulsars are, along with some eclipsing post-common envelope systems and cataclysmic variables, part of an expanding category of compact binaries with low-mass companions for which puzzling timing anomalies have been…

High Energy Astrophysical Phenomena · Physics 2019-12-10 Guillaume Voisin , René Breton , Charlotte Summers

We discuss a geometrical method to define a preferred reference frame for precessing binary systems and the gravitational waves they emit. This minimal-rotation frame is aligned with the angular-momentum axis and fixes the rotation about…

General Relativity and Quantum Cosmology · Physics 2012-02-02 Michael Boyle , Robert Owen , Harald P. Pfeiffer

In this paper we evolve magnetized and unmagnetized circumbinary accretion disks around supermassive black hole binaries in the relativistic regime. We use a post-Newtonian expansion to construct an analytical spacetime and determine how…

General Relativity and Quantum Cosmology · Physics 2015-02-03 Miguel Zilhão , Scott C. Noble , Manuela Campanelli , Yosef Zlochower

We analyse an eleven-orbit inspiral of a non-spinning black-hole binary with mass ratio q=M1/M2=4. The numerically obtained gravitational waveforms are compared with post-Newtonian (PN) predictions including several sub-dominant multipoles…

General Relativity and Quantum Cosmology · Physics 2011-06-08 Ulrich Sperhake , Bernd Bruegmann , Doreen Mueller , Carlos F. Sopuerta

Using the recently derived higher spin gravitational Compton amplitude from low-energy analytically continued ($a/Gm\gg1$) solutions of the Teukolsky equation for the scattering of a gravitational wave off the Kerr black hole, observables…

High Energy Physics - Theory · Physics 2023-09-28 Yilber Fabian Bautista