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The self-force acting on a (scalar or electric) charge held in place outside a massive body contains information about the body's composition, and can therefore be used as a probe of internal structure. We explore this theme by computing…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Soichiro Isoyama , Eric Poisson

We propose a Lorentz-covariant theory of gravity, and explain its theoretical origins in the problem of time in Newtonian physics. In this retarded gravitation theory (RGT), the gravitational force depends upon both retarded position and…

General Physics · Physics 2015-05-27 C. K. Raju

In this paper, we discuss the leading order correction to the equation of motion of the particle, which presumably describes the effect of gravitational radiation reaction. We derive the equation of motion in two different ways. The first…

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

The growing reality of gravitational wave astronomy is giving age-old problems a new lease of life; one such problem is that of the self-force. A charged or massive particle moving in a curved background space-time produces a field that…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Anna Heffernan

This paper presents the first calculation of the gravitational self-force on a small compact object on an eccentric equatorial orbit around a Kerr black hole to first order in the mass-ratio. That is the pointwise correction to the object's…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Maarten van de Meent

We derive an analytic phenomenological expression that predicts the final mass of the black-hole remnant resulting from the merger of a generic binary system of black holes on quasi-circular orbits. Besides recovering the correct…

General Relativity and Quantum Cosmology · Physics 2014-04-17 Enrico Barausse , Viktoriya Morozova , Luciano Rezzolla

Starting with the conceptual foundation of general relativity (GR) - equivalence principle, space-time geometry and special relativity, I train cross hairs on two characteristic predictions of GR - black holes and gravitational waves. These…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Patrick Das Gupta

We discuss the leading order correction to the equation of motion of a particle with spin on an arbitrary spacetime. A particle traveling in a curved spacetime is known to trace a geodesic of the background spacetime if the mass of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasushi Mino , Misao Sasaki , Takahiro Tanaka

The problem of the self-interaction of a quasi-rigid classical particle with an arbitrary spherically symmetric charge distribution is completely solved up to the first order in the acceleration. No ad hoc assumptions are made. It is shown…

Classical Physics · Physics 2007-05-23 Rodrigo Medina

In the present paper we study the geodesic motion of test particles and light rays in the spacetime of a static charged black hole in $f(R)$ gravity. The complete set of analytic solutions of the geodesic equations in the spacetime of this…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Saheb Soroushfar , Reza Saffari , Saskia Grunau

We present the first orbit-integrated self force effects on the gravitational waveform for an I(E)MRI source. We consider the quasi-circular motion of a particle in the spacetime of a Schwarzschild black hole and study the dependence of the…

General Relativity and Quantum Cosmology · Physics 2012-11-28 Kristen A. Lackeos , Lior M. Burko

This thesis reports on work undertaken in comparing the effects of the phenomenon of radiation reaction in classical and quantum theories of electrodynamics. Specifically, it is concerned with the prediction of the change in position of a…

General Relativity and Quantum Cosmology · Physics 2008-06-05 Giles D. R. Martin

We explore how the gravitational self force (or ``radiation reaction'' force), acting on a pointlike test particle in curved spacetime, is modified in a gauge transformation. We derive the general transformation law, describing the change…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack , Amos Ori

We describe progress evolving an important limit of binary orbits in general relativity, that of a stellar mass compact object gradually spiraling into a much larger, massive black hole. These systems are of great interest for gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Scott A. Hughes , Steve Drasco , Eanna E. Flanagan , Joel Franklin

After the first prediction to expect geodetic precession in binary pulsars in 1974, made immediately after the discovery of a pulsar with a companion, the effects of relativistic spin precession have now been detected in all binary systems…

Astrophysics of Galaxies · Physics 2010-08-31 Michael Kramer

In many astrophysically relevant situations radiation reaction force acting upon a charge can not be neglected and the question arises about the location and stability of circular orbits in such regime. Motion of point charge with radiation…

General Relativity and Quantum Cosmology · Physics 2019-01-24 Arman Tursunov , Martin Kološ , Zdeněk Stuchlík , Dmitri V. Gal'tsov

We show that a globally hyperbolic spacetime containing a trapped surface and satisfying the strong energy condition and a condition on certain radial tidal forces must be timelike geodesically incomplete. This constitutes a "timelike"…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Leonardo García-Heveling

It is assumed that the radial propagation of light with respect to the naive coordinate system of the observer is uniform and isotropic and that the physical rate of propagation of light is the same for all observers. In accelerated frames…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Edward M. Schaefer

We investigate equatorial geodesics in the gravitational field of a rotating and deformed source described by the approximate Hartle-Thorne metric. In the case of massive particles, we derive within the same approximation analytic…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Kuantay Boshkayev , Hernando Quevedo , Marzhan Abutalip , Zhanerke Kalymova , Sharara Suleymanova

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