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This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jie Zhu , Hao Li

We derive the gravitational waveform and gravitational-wave energy flux generated by a binary star system of compact objects (neutron stars or black holes), accurate through second post-Newtonian order ($O[(v/c)^4] \sim O[(Gm/rc^2)^2]$)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Clifford M. Will , Alan G. Wiseman

We present a prescription to compute the time-domain gravitational wave (GW) polarization states associated with spinning compact binaries inspiraling along quasi-circular orbits. We invoke the orbital angular momentum $\vek L$ rather than…

General Relativity and Quantum Cosmology · Physics 2014-03-03 Anuradha Gupta , Achamveedu Gopakumar

Pulsar timing arrays are sensitive to gravitational wave perturbations produced by individual supermassive black hole binaries during their early inspiral phase. Modified gravity theories allow for the emission of gravitational dipole…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Logan O'Beirne , Neil J. Cornish , Sarah J. Vigeland , Stephen R. Taylor

We derived a post-Newtonian (PN) inspiral only gravitational waveform for unequal mass, spinning black hole binaries. Towards the end of the inspiral the larger spin dominates over the orbital angular momentum (while the smaller spin is…

General Relativity and Quantum Cosmology · Physics 2014-09-12 Márton Tápai , Zoltán Keresztes , László Árpád Gergely

The measurement of spin-precession and orbital eccentricity in gravitational-wave (GW) signals is a key priority in GW astronomy, as these effects not only provide insights into the astrophysical formation and evolution of compact binaries…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Gonzalo Morras , Geraint Pratten , Patricia Schmidt

Gravitational waves are produced by orbiting massive binary objects, such as black holes and neutron stars, and propagate as ripples in the very fabric of spacetime. As the waves carry off orbital energy, the two bodies spiral into each…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Dillon Buskirk , Maria C. Babiuc Hamilton

Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Zhe Zhao , Swarnim Shashank , Debtroy Das , Cosimo Bambi

We derive new constraints on massive gravity from unitarity and analyticity of scattering amplitudes. Our results apply to a general effective theory defined by Einstein gravity plus the leading soft diffeomorphism-breaking corrections. We…

High Energy Physics - Theory · Physics 2016-04-05 Clifford Cheung , Grant N. Remmen

Gravitational observables for binary systems exhibit a simple polynomial dependence on the masses $m_1$, $m_2$ of the two scattering objects when they are written in terms of the appropriate kinematic variables in the post-Minkowskian (PM)…

High Energy Physics - Theory · Physics 2025-11-19 Carlo Heissenberg , Rodolfo Russo

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

We study generic tests of strong-field General Relativity using gravitational waves emitted during the inspiral of compact binaries. Previous studies have considered simple extensions to the standard post-Newtonian waveforms that differ by…

General Relativity and Quantum Cosmology · Physics 2013-05-22 Laura Sampson , Neil Cornish , Nicolas Yunes

One of the predictions from simple inflation models is a stochastic background of gravitational waves (or literally what is called the Primordial Gravitational Waves (\textbf{PGW})) with a nearly scale--invariant spectrum. In this work, we…

General Relativity and Quantum Cosmology · Physics 2022-07-19 Taimur Mohammadi , Behrooz Malekolkalami

A massive black hole can develop a dark-matter overdensity, and the dark matter changes the evolution of a stellar-mass compact object inspiraling around the massive black hole through the dense dark-matter environment. Specifically,…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Eileen Wilcox , David Nichols , Kent Yagi

The article provides full-analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi-analytical property of recent descriptions, i.e. the demand of…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Manuel Tessmer , Gerhard Schaefer

We study the degrees of freedom of the metric in a general class of higher derivative gravity models, which are interesting in the context of quantum gravity as they are (super)renormalizable. First, we linearize the theory for a flat…

General Relativity and Quantum Cosmology · Physics 2019-04-05 Patric Hölscher

Gravitational waves (GWs) from merging black holes allow for unprecedented probes of strong-field gravity. Testing gravity in this regime requires accurate predictions of gravitational waveform templates in viable extensions of General…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

The quest for gravitational waves from coalescing binaries is customarily performed by the LIGO-Virgo collaboration via matched filtering, which requires a detailed knowledge of the signal. Complete analytical coalescence waveforms are…

General Relativity and Quantum Cosmology · Physics 2010-11-04 R. Sturani , S. Fischetti , L. Cadonati , G. M. Guidi , J. Healy , D. Shoemaker , A. Viceré

One of the greatest theoretical challenges in the build-up to the era of second-generation gravitational-wave detectors is the modeling of generic binary waveforms. We introduce an approximation that has the potential to significantly…

General Relativity and Quantum Cosmology · Physics 2013-03-12 Patricia Schmidt , Mark Hannam , Sascha Husa

Compact binaries inspiralling along quasi-circular orbits are the most plausible gravitational wave (GW) sources for the operational, planned and proposed laser interferometers. We provide new class of restricted post-Newtonian accurate GW…

General Relativity and Quantum Cosmology · Physics 2007-12-20 Achamveedu Gopakumar