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The direct detection of gravitational waves will provide valuable astrophysical information about many celestial objects. Also, it will be an important test to general relativity and other theories of gravitation. The gravitational wave…

The Newtonian restricted three-body problem involving a positive primary point mass, $m_+$, and a negative secondary point mass, $m_-$, in a circular orbit, and a positive or negative tertiary point mass, $m_3$, with $m_+ > |m_-| \gg…

Classical Physics · Physics 2024-12-05 K. H. Thong , A. Melatos

The gravitational waveform of a merging stellar-mass binary is described at leading order by a quadrupolar mode. However, the complete waveform includes higher-order modes, which encode valuable information not accessible from the…

Instrumentation and Methods for Astrophysics · Physics 2019-12-25 Ethan Payne , Colm Talbot , Eric Thrane

We analyze equations describing gravitational waves in the Myers-Perry and Gibbons-Lu-Page-Pope geometries with arbitrary rotation parameters. Assuming that at least one rotation parameter vanishes, we demonstrate full separability of…

High Energy Physics - Theory · Physics 2025-11-21 Oleg Lunin

We present new techniqes for evolving binary black hole systems which allow the accurate determination of gravitational waveforms directly from the wave zone region of the numerical simulations. Rather than excising the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Joan Centrella , Dae-Il Choi , Michael Koppitz , James van Meter

We investigate the gravitational radiation emitted by an isolated system for gravity theories with Lagrange density $f(R) = R + aR^2$. As a formal result we obtain leading order corrections to the quadrupole formula in General Relativity.…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Joachim Näf , Philippe Jetzer

In this paper, we calculate the frequencies of geodesic orbits in self-dual spacetime on the equatorial plane and obtain the leading-order effects of loop quantum parameters $P$ on the energy flux and angular momentum flux in eccentric…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Yunlong Liu , Xiangdong Zhang

A simple procedure is developed to determine orbital elements of an object orbiting in a central force field which contribute more than three independent celestial positions. By manipulation of formal three point Gauss method of orbit…

Earth and Planetary Astrophysics · Physics 2015-06-17 Taghi Mirtorabi

A method is suggested to explore the gravitational wave background (GWB) in the frequency range from $10^{-12}$ to \hbox{$10^{-8}$ Hz}. That method is based on the precise measurements of pulsars' rotational parameters: the influence of the…

Instrumentation and Methods for Astrophysics · Physics 2009-10-08 M. S. Pshirkov

We explore spinning, precessing, unequal mass binary black holes to display the long term orbital angular momentum, $\vec{L}$, flip dynamics. We study two prototypical cases of binaries with mass ratios $q=1/7$ and $q=1/15$ and a misaligned…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Carlos O. Lousto , James Healy

We describe the formalism to compute gravitational-wave observables for compact binaries via the effective field theory framework in combination with modern tools from collider physics. We put particular emphasis on solving the "multi-loop"…

High Energy Physics - Theory · Physics 2023-04-05 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

We consider the interactions of a strong gravitational wave with electromagnetic fields using the 1+3 orthonormal tetrad formalism. A general system of equations are derived, describing the influence of a plane fronted parallel (pp)…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Gert Brodin , Mattias Marklund , Peter K. S. Dunsby

We show that for detections of gravitational-wave transients, constraints can be given on physical parameters of the source without using any specific astrophysical models. Relying only on fundamental principles of general relativity, we…

General Relativity and Quantum Cosmology · Physics 2020-06-14 Bence Bécsy , Peter Raffai , Kiranjyot Gill , Tyson B Littenberg , Margaret Millhouse , Marek J Szczepańczyk

We study gravitational waves from a stellar-mass binary orbiting a spinning supermassive black hole, a system referred to as a binary extreme mass ratio inspiral (b-EMRI). We use Dixon's formalism to describe the stellar-mass binary as a…

General Relativity and Quantum Cosmology · Physics 2025-06-27 João S. Santos , Vitor Cardoso , José Natário , Maarten van de Meent

Continuing previous work on the 3PN-accurate gravitational wave generation from point particle binaries, we obtain the binary's 3PN mass-type quadrupole and dipole moments for general (not necessarily circular) orbits in harmonic…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Luc Blanchet , Bala R. Iyer

The parameters of inspiralling compact binaries can be estimated using matched filtering of gravitational-waveform templates against the output of laser-interferometric gravitational-wave detectors. Using a recently calculated formula,…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Eric Poisson , Clifford M. Will

A new formulation is presented for a variational calculation of $N$-body systems on a correlated Gaussian basis with arbitrary angular momenta. The rotational motion of the system is described with a single spherical harmonic of the total…

Nuclear Theory · Physics 2009-10-30 Y. Suzuki , J. Usukura , K. Varga

1. Introduction 2. Basics and outline of the method 2.1 Regions around an isolated source 2.2 The quadrupole formalism 2.3 Outline of the method 3. Properties of radiative gravitational fields 3.1 The field in the exterior domain (D_e) 3.2…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

We calculate how accurately parameters of the short-period binaries $(10^{-4} {Hz} \lsim f\lsim 10^{-2} {Hz})$ will be determined from the gravitational waves by LISA. In our analysis the chirp signal ${\dot f}$ is newly included as a…

Astrophysics · Physics 2009-11-07 Ryuichi Takahashi , Naoki Seto

We elaborate on the link relating gravitational radiation, vorticity and a flux of super-energy on the plane orthogonal to the vorticity vector. We examine the vorticity appearing in the congruence of observers at the outside of the source,…

General Relativity and Quantum Cosmology · Physics 2019-07-15 L. Herrera