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A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

The rotation of the bodies and the eccentricity of the orbit have significant effects on the emitted gravitational radiation of binary systems. This work focuses on the evaluation of the gravitational wave polarization states for spinning…

General Relativity and Quantum Cosmology · Physics 2008-11-26 János Majár , Mátyás Vasúth

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Mátyás Vasúth , János Majár

We calculate the gravitational waveform for spinning, precessing compact binary inspirals through second post-Newtonian order in the amplitude. When spins are collinear with the orbital angular momentum and the orbits are quasi-circular, we…

General Relativity and Quantum Cosmology · Physics 2013-03-19 Alessandra Buonanno , Guillaume Faye , Tanja Hinderer

Binary systems of two compact objects circularize and spiral toward each other via the emission of gravitational waves. The coupling of the spins of each object with the orbital angular momentum causes the orbital plane to precess, which…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Katerina Chatziioannou , Antoine Klein , Neil Cornish , Nicolas Yunes

We produce gravitational waveforms for nonspinning compact binaries undergoing a quasicircular inspiral. Our approach is based on a two-timescale expansion of the Einstein equations in second-order self-force theory, which allows…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Barry Wardell , Adam Pound , Niels Warburton , Jeremy Miller , Leanne Durkan , Alexandre Le Tiec

We determine the binding energy, the total gravitational wave energy flux, and the gravitational wave modes for a binary of rapidly spinning black holes, working in linearized gravity and at leading orders in the orbital velocity, but to…

General Relativity and Quantum Cosmology · Physics 2018-06-22 Nils Siemonsen , Jan Steinhoff , Justin Vines

The coalescence of compact objects is one of the most promising sources of gravitational waves for ground-based interferometric detectors, such as advanced LIGO and Virgo. Generically, com- pact objects in binaries are expected to be…

General Relativity and Quantum Cosmology · Physics 2017-11-16 Katerina Chatziioannou , Antoine Klein , Nicolas Yunes , Neil Cornish

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

We discuss gravitational waves from merging binaries using a Newtonian approach with some inputs from the Post-Newtonian formalism. We show that it is possible to understand the key features of the signal using fundamental physics and also…

Popular Physics · Physics 2019-12-20 Jahanvi , Ashish Kumar Meena , J. S. Bagla

An accurate knowledge of the coalescing binary gravitational waveform is crucial for experimental searches as the ones performed by the LIGO-Virgo collaboration. Following an earlier paper by the same authors we refine the construction of…

General Relativity and Quantum Cosmology · Physics 2011-06-24 R. Sturani , S. Fischetti , L. Cadonati , G. M. Guidi , J. Healy , D. Shoemaker , A. Vicere'

Compact binary systems with spinning components are considered. Finite size effects due to rotational deformation are taken into account. The dynamical evolution and next to leading order gravitational wave forms are calculated, taking into…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dörte Hansen

We perform a comprehensive study of gravitational waves in the context of the higher-order quadratic scalar curvature gravity, which encompasses the ordinary Einstein-Hilbert term in the action plus an $R^{2}$ contribution and a term of the…

General Relativity and Quantum Cosmology · Physics 2022-12-06 S. G. Vilhena , L. G. Medeiros , R. R. Cuzinatto

Binary systems of rapidly spinning compact objects, such as black holes or neutron stars, are prime targets for gravitational wave astronomers. The dynamics of these systems can be very complicated due to spin-orbit and spin-spin couplings.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Neil J. Cornish , Janna Levin

Within the framework of self-force theory, we compute the gravitational-wave energy flux through second order in the mass ratio for compact binaries in quasicircular orbits. Our results are consistent with post-Newtonian calculations in the…

General Relativity and Quantum Cosmology · Physics 2021-10-12 Niels Warburton , Adam Pound , Barry Wardell , Jeremy Miller , Leanne Durkan

A generalized true anomaly-type parametrization, convenient to describe both bound and open orbits of a two-body system in general relativity is introduced. A complete description of the time evolution of both the radial and of the angular…

General Relativity and Quantum Cosmology · Physics 2010-10-05 János Majár , Péter Forgács , Mátyás Vasúth

Gravitational waveforms generated by unequal mass black hole binaries are expected to be common sources for future gravitational wave detectors. We derived the waveforms emitted by such systems during the last part of the inspiral, when the…

General Relativity and Quantum Cosmology · Physics 2014-12-23 Márton Tápai , Zoltán Keresztes , László Á. Gergely

Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

We derive the contributions of spin-orbit and spin-spin coupling to the gravitational radiation from coalescing binary systems of spinning compact objects. We calculate spin effects in the symmetric, trace-free radiative multipoles that…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Lawrence E. Kidder , Clifford M. Will , Alan G. Wiseman

This tutorial leads the reader through the details of calculating the properties of gravitational waves from orbiting binaries, such as two orbiting black holes. Using analogies with electromagnetic radiation, the tutorial presents a…

Physics Education · Physics 2019-08-15 Robert C. Hilborn
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