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Gravitational waves from the inspiral of a stellar-size black hole to a supermassive black hole can be accurately approximated by a point particle moving in a Kerr background. This paper presents progress on finding the electromagnetic and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tobias S. Keidl , John L. Friedman , Alan G. Wiseman

An Extreme Mass Ratio Inspiral (EMRI), which corresponds to a small compact object inspirals around a massive black hole in the center of a galaxy, is one of the most important sources for future space-borne gravitational-wave (GW)…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Yi-Xiang Wei , Xian-Long Zhu , Jian-dong Zhang , Jianwei Mei

Massive gravity is a good theoretical laboratory to study modifications of General Relativity. The theory offers a concrete set-up to study models of dark energy, since it admits cosmological self-accelerating solutions in the vacuum, in…

High Energy Physics - Theory · Physics 2015-06-15 Gianmassimo Tasinato , Kazuya Koyama , Gustavo Niz

In this work we derive a generalized Newtonian gravitational force and show that it can account for the anomalous galactic rotation curves. We derive the entropy-area relationship applying the Feynman-Hibbs procedure to the supersymmetric…

General Relativity and Quantum Cosmology · Physics 2018-02-26 I. Díaz-Saldaña , J. C. López-Domínguez , M. Sabido

We continue the study of the non-metric theory of gravity introduced in hep-th/0611182 and gr-qc/0703002 and obtain its general spherically symmetric vacuum solution. It respects the analog of the Birkhoff theorem, i.e., the vacuum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill Krasnov , Yuri Shtanov

We develop a black hole response formulation of worldline quantum field theory (WQFT) adapted to the gravitational self-force expansion. Integrating out the worldline and graviton fluctuations yields connected graviton response functions:…

High Energy Physics - Theory · Physics 2026-05-08 Lara Bohnenblust , Carl Jordan Eriksen , Jitze Hoogeveen , Gustav Uhre Jakobsen , Jan Plefka

The motion of a small compact object in a curved background spacetime deviates from a geodesic due to the action of its own field, giving rise to a self-force. This self-force may be calculated by integrating the Green function for the wave…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Marc Casals , Sam Dolan , Adrian C. Ottewill , Barry Wardell

A compact object moving on a quasicircular orbit about a Schwarzschild black hole gradually spirals inward due to the dissipative action of its gravitational self-force. But in addition to driving the inspiral, the self-force has a…

General Relativity and Quantum Cosmology · Physics 2014-10-24 Adam Pound

Gravitational radiation is locally defined where the wavefronts are roughly spherical. A local energy tensor is defined for the gravitational radiation. Including this energy tensor as a source in the truncated Einstein equations describes…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

In this review article I attempt to summarise past and present-ongoing-work on the problem of the inspiral of a small body in the gravitational field of a much more massive Kerr black hole. Such extreme mass ratio systems, expected to occur…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kostas Glampedakis

A novel approach to the Effective One-Body description of gravitationally interacting two-body systems is introduced. This approach is based on the post-Minkowskian approximation scheme (perturbation theory in G, without assuming small…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Thibault Damour

We calculate the unregularized monopole and dipole contributions to the self-force acting on a particle of small mass in a circular orbit around a Schwarzschild black hole. From a self-force point of view, these non-radiating modes are as…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steve Detweiler , Eric Poisson

In this, the first of two companion papers, we present a method for finding the gravitational self-force in a modified radiation gauge for a particle moving on a geodesic in a Schwarzschild or Kerr spacetime. An extension of an earlier…

General Relativity and Quantum Cosmology · Physics 2014-10-23 Tobias S. Keidl , Abhay G. Shah , John L. Friedman , Dong-Hoon Kim , Larry R. Price

In this text we outline the motivation for developping a quantum $S$-matrix approach for the classical gravitational two-body scattering. As an application we briefly present the derivation of black-hole metrics in various dimensions.

General Relativity and Quantum Cosmology · Physics 2021-04-21 Pierre Vanhove

This work provides, at lower order, general analytical solutions for the orbital separation, merging time, and orbital frequency of binary systems emitting gravitational waves while being submitted to mass variations. Specific features,…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Baptiste Blachier , Aurélien Barrau , Killian Martineau , Cyril Renevey

We investigate the semiclassical limit and quantum corrections to the metric in a unitary quantum gravity formulation of the CGHS 2d dilaton gravity model. A new method for calculating the back-reaction effects has been introduced, as an…

High Energy Physics - Theory · Physics 2009-01-16 A. Mikovic

Very large mass ratio binary black hole systems are of interest both as a clean limit of the two-body problem in general relativity, as well as for their importance as sources of low-frequency gravitational waves. At lowest order, the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Lisa V. Drummond , Scott A. Hughes

We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by the gravitational self-force. Our model is based on an action angle formulation of the method of osculating geodesics for…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Philip Lynch , Maarten van de Meent , Niels Warburton

The first objective of this work is to obtain practical prescriptions to calculate the absorption of mass and angular momentum by a black hole when external processes produce gravitational radiation. These prescriptions are formulated in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Eric Poisson

A general bimetric theory of gravitation is described as a linear in the second approximation. This is allowed due to the small experimental significance of the higher order terms. Solar System tests are satisfied. The theory allows black…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Ionescu-Pallas , M. I. Piso , S. Onofrei