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Gravitational wave memory is an important prediction of general relativity. The detection of the gravitational wave memory can be used to test general relativity and to deduce the property of the gravitational wave source. Quantitative…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Xiaolin Liu , Xiaokai He , Zhoujian Cao

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Saeed Mirshekari

Treating general relativity as an effective field theory, we compute the leading-order quantum corrections to the orbits and gravitational-wave emission of astrophysical compact binaries. These corrections are independent of the (unknown)…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Alexander C. Jenkins , Andreas G. A. Pithis , Mairi Sakellariadou

Extreme mass-ratio inspirals (EMRIs), comprising a stellar-mass compact object (CO) orbiting a supermassive black hole (BH), are key targets for future space-based gravitational-wave (GW) observatories. Incorporating the spin of the…

High Energy Astrophysical Phenomena · Physics 2026-03-26 Qiuxin Cui , Wen-Biao Han

Using recently developed efficient symbolic manipulations tools, we present a general gauge-invariant formalism to study arbitrary radiative $(l\geq 2)$ second-order perturbations of a Schwarzschild black hole. In particular, we construct…

General Relativity and Quantum Cosmology · Physics 2009-09-02 David Brizuela , Jose M. Martin-Garcia , Manuel Tiglio

We use the Effective Field Theory (EFT) framework to compute the mass quadrupole moment, the equation of motion, and the power loss of inspiralling compact binaries at the second order in the Post-Newtonian (PN) approximation. We present…

General Relativity and Quantum Cosmology · Physics 2020-05-06 Adam K. Leibovich , Natália T. Maia , Ira Z. Rothstein , Zixin Yang

The gravitational waves emitted by massive black hole binaries can be affected by a variety of environmental effects, which, if detected, could inform astrophysics and cosmology. We here study how gravitational waves emitted by black holes…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 Tomás Ferreira Chase , Diana López Nacir , Nicolás Yunes

Extreme mass-ratio inspirals (EMRIs), consisting of a stellar-mass compact object spiraling into a massive black hole, are key sources for future space-based gravitational wave observatories such as LISA. Accurate modeling of these systems…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Viktor Skoupý , Gabriel Andres Piovano , Vojtěch Witzany

Electromagnetic observations of the radiation emitted by an accretion disk around a black hole, as well as gravitational wave observations of coalescing binaries, can be used to probe strong-field gravity. We here compare the constraints…

General Relativity and Quantum Cosmology · Physics 2020-05-14 Alejandro Cardenas-Avendano , Sourabh Nampalliwar , Nicolas Yunes

We study the self force acting on a scalar charge in uniform circular motion around a Schwarzschild black hole. The analysis is based on a direct calculation of the self force via mode decomposition, and on a regularization procedure based…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Lior M. Burko

In this series we construct an effective field theory (EFT) in curved spacetime to study gravitational radiation and backreaction effects. We begin in this paper with a derivation of the self-force on a compact object moving in the…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Chad R. Galley , B. L. Hu

This is the second of two companion papers on computing the self-force in a radiation gauge; more precisely, the method uses a radiation gauge for the radiative part of the metric perturbation, together with an arbitrarily chosen gauge for…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Abhay Shah , Tobias Keidl , John Friedman , Dong-Hoon Kim , Larry Price

In this work, we study the gravitational back-reaction (i.e., the "self-force") of a point mass moving around a non-rotating, compact star on a circular orbit. We find that the additional self-force, comparing with the case with a point…

General Relativity and Quantum Cosmology · Physics 2024-06-05 Xuefeng Feng , Huan Yang

In an accompanying paper, we have formulated two types of regulariz_ation methods to calculate the scalar self-force on a particle of charge $q$ moving around a black hole of mass $M$, one of which is called the ``power expansion…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Hiroyuki Nakano , Yasushi Mino , Misao Sasaki

We compute, at the first self force accuracy level, the radiated energy from a radially infalling particle released from rest in a Schwarzschild spacetime. We examine both the cases of a scalar particle and that of a massive particle, in…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Donato Bini , Giorgio Di Russo

We give a novel definition of gravitational energy for an arbitrary theory of gravity including quadratic-curvature corrections to Einstein equations. We focus on the theory in four dimensions, in presence of negative cosmological constant,…

High Energy Physics - Theory · Physics 2018-09-12 Gaston Giribet , Olivera Miskovic , Rodrigo Olea , David Rivera-Betancour

We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum, using numerical-relativity simulations, the post-Newtonian…

In this work we study the dynamics of spinning binary black hole systems in the strong field regime. For this purpose we extract from numerical relativity simulations the binding energy, specific orbital angular momentum, and…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Serguei Ossokine , Tim Dietrich , Evan Foley , Reza Katebi , Geoffrey Lovelace

Extreme mass-ratio inspirals (EMRIs) are one of the most highly anticipated sources of gravitational radiation novel to detection by millihertz space-based detectors. To accurately estimate the parameters of EMRIs and perform precision…

General Relativity and Quantum Cosmology · Physics 2023-05-22 Leanne Durkan , Niels Warburton

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