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We compute the energy flux of the gravitational waves radiated by a particle of mass $\m$ in circular orbits around a rotating black hole of mass $M$ up to the 11th post-Newtonian order (11PN), i.e. $v^{22}$ beyond the leading Newtonian…

General Relativity and Quantum Cosmology · Physics 2015-03-27 Ryuichi Fujita

Largely motivated by the development of highly sensitive gravitational-wave detectors, our understanding of merging compact binaries and the gravitational waves they generate has improved dramatically in recent years. Breakthroughs in…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-15 Scott A. Hughes

Using effective field theory techniques we compute the next to leading order Spin(1)Spin(1) terms in the potential of spinning compact objects at third Post-Newtonian order, including sub-leading self-induced finite size effects. This…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Rafael A. Porto , Ira Z. Rothstein

We extend our previous work devoted to the computation of the next-to-next-to-leading order spin-orbit correction (corresponding to 3.5PN order) in the equations of motion of spinning compact binaries, by: (i) Deriving the corresponding…

General Relativity and Quantum Cosmology · Physics 2013-04-03 Alejandro Bohé , Sylvain Marsat , Guillaume Faye , Luc Blanchet

(Abridged) We revisit the problem of parameter estimation of gravitational-wave chirp signals from inspiralling non-spinning compact binaries in the light of the recent extension of the post-Newtonian (PN) phasing formula to order $(v/c)^7$…

General Relativity and Quantum Cosmology · Physics 2014-11-17 K. G. Arun , Bala R Iyer , B. S. Sathyaprakash , Pranesh A. Sundararajan

We derive the post-Newtonian next-to-leading order conservative spin-orbit and spin(a)-spin(b) gravitational interaction Hamiltonians for arbitrary many compact objects. The spin-orbit Hamiltonian completes the knowledge of Hamiltonians up…

General Relativity and Quantum Cosmology · Physics 2011-02-11 Johannes Hartung , Jan Steinhoff

We study the gravitational scattering of massive particles with and without spin in the effective theory of gravity at one loop level. Our focus is on long distance effects arising from nonanalytic components of the scattering amplitude and…

High Energy Physics - Phenomenology · Physics 2008-02-07 Barry R. Holstein , Andreas Ross

Using the Teukolsky and Sasaki-Nakamura equations for the gravitational perturbation of the Kerr spacetime, we calculate the post-Newtonian expansion of the energy and angular momentum luminosities of gravitational waves from a test…

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

Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a…

High Energy Physics - Theory · Physics 2022-05-30 Zhengwen Liu , Rafael A. Porto , Zixin Yang

Compact binaries inspiralling along eccentric orbits are plausible gravitational wave (GW) sources for the ground-based laser interferometers. We explore the losses in the event rates incurred when searching for GWs from compact binaries…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Tessmer , A. Gopakumar

A parametrized multipolar gravitational wave phasing within multipolar post-Minkowskian and post-Newtonian formalism was developed in earlier works [S. Kastha et al., PRD 98, 124033 (2018) and PRD 100, 044007 (2019)]. This facilitates the…

General Relativity and Quantum Cosmology · Physics 2024-10-14 Parthapratim Mahapatra , Shilpa Kastha

The effect of the recently obtained 2nd post-Newtonian corrections on the accuracy of estimation of parameters of the gravitational-wave signal from a coalescing binary is investigated. It is shown that addition of this correction degrades…

General Relativity and Quantum Cosmology · Physics 2016-08-31 ANDRZEJ KRÓLAK , KOSTAS D. KOKKOTAS , GERHARD SCHÄFER

We implement the effective field theory for gravitating spinning objects in the post-Newtonian scheme at the next-to-next-to-leading order level to derive the gravitational spin-orbit interaction potential at the third and a half…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Michèle Levi , Jan Steinhoff

The effect of the recently obtained 2nd post-Newtonian corrections on the accuracy of estimation of parameters of the gravitational-wave signal from a coalescing binary is investigated. It is shown that addition of this correction degrades…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andrzej Królak , Kostas D. Kokkotas , Gerhard Schäfer

In an earlier work [S. Kastha et al., PRD {\bf 98}, 124033 (2018)], we developed the {\it parametrized multipolar gravitational wave phasing formula} to test general relativity, for the non-spinning compact binaries in quasi-circular orbit.…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Shilpa Kastha , Anuradha Gupta , K. G. Arun , B. S. Sathyaprakash , Chris Van Den Broeck

Compact binary sources that emit gravitational waves (GW) are expected to be both spinning and on eccentric orbits. No closed-form expression for the phasing of GWs are available to date that contain information from both spin and…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Omkar Sridhar , Soham Bhattacharyya , Kaushik Paul , Chandra Kant Mishra

We study the gravitational Faraday rotation, on linearly polarized light rays emitted by a pulsar, orbiting another compact object. We relate the rotation angle to the orbital phase of the emitting pulsar, as well as to other parameters…

Astrophysics · Physics 2008-11-26 Matteo Luca Ruggiero , Angelo Tartaglia

We compute the gravitational fluxes and waveform for eccentric compact binaries including matter effects through adiabatic tidal interactions within the post-Newtonian approximation. The computations are performed at the relative 2.5PN…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Quentin Henry

Gravitational wave observatories targeted for compact binary coalescence, such as LIGO and VIRGO, require various theoretical inputs for their efficient detection. One of such inputs are analytical description of binary dynamics at…

High Energy Physics - Theory · Physics 2020-07-27 Jung-Wook Kim

We consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the associated gravitational waveform reaching the 2.5…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Donato Bini , Giorgio Di Russo
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