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When we calculate gravitational waveforms from extreme-mass-ratio inspirals (EMRIs) by metric perturbation, it is a common strategy to use the adiabatic approximation. Under that approximation, we first calculate the linear metric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino

We employ scattering amplitudes in curved space to model the dynamics of a light probe particle with mass $m$ orbiting in the background spacetime induced by a heavy gravitational source with mass $M$. Observables are organized as an…

High Energy Physics - Theory · Physics 2024-04-02 Dimitrios Kosmopoulos , Mikhail P. Solon

We address some of the issues that appear in the study of back reaction in Schwarzschild backgrounds. Our main object is the effective energy-momentum tensor (EEMT) of gravitational perturbations. It is commonly held that only…

General Relativity and Quantum Cosmology · Physics 2015-06-25 L. R. Abramo , F. Finelli

This short note serves as an introduction to gravitational radiation through reviewing the inspiral-plunge transition phase in extreme mass ratio binaries. We study the relativistic motion of a compact object (CO) of mass $m$ around a…

General Relativity and Quantum Cosmology · Physics 2019-08-20 Amir Jafari

We calculate the self-force experienced by a point scalar charge, a point electric charge, and a point mass moving in a weakly curved spacetime characterized by a time-independent Newtonian potential. The self-forces are calculated by first…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michael J. Pfenning , Eric Poisson

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

Gravitational optical properties are here investigated under the hypothesis of spherically-symmetric spacetimes behaving as media. To do so, we first consider two different definitions of the refractive index, $n_O$, of a spacetime medium…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Orlando Luongo

A generalization of the force approach to radiation reaction is given, taken into consideration an arbitrary motion of the charged particle . The expression obtained brings about the expression already given for the linear an the circular…

Classical Physics · Physics 2016-02-11 Gustavo V. Lopez

We study the gravitational radiation reaction in compact binary systems composed of neutron stars with spin and huge magnetic dipole moments (magnetars). The magnetic dipole moments undergo a precessional motion about the respective spins.…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Mátyás Vasúth , Zoltán Keresztes , András Mihály , László Á. Gergely

A powerful technique to calculate gravitational radiation from binary systems involves a perturbative expansion: if the masses of the two bodies are very different, the "small" body is treated as a point particle of mass $m_p$ moving in the…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Enrico Barausse , Emanuele Berti , Vitor Cardoso , Scott A. Hughes , Gaurav Khanna

A spinning particle in the Schwarzschild spacetime deviates from geodesic behavior because of its spin. A spinless particle also deviates from geodesic behavior when a test radiation field is superimposed on the Schwarzschild background: in…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Donato Bini , Andrea Geralico

Using post-Newtonian equations of motion for fluid bodies that include radiation-reaction terms at 2.5 and 3.5 post-Newtonian (PN) order O[(v/c)^5] and O[(v/c)^7] beyond Newtonian order), we derive the equations of motion for binary systems…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Han Wang , Clifford M. Will

We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields, to first order in the external field, but to an arbitrary order in spin. The correct account for the spin influence on the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 I. B. Khriplovich , A. A. Pomeransky

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

The assumed universality of the equivalence principle suggests that a particle in a gravitational field has identical physics to one in an accelerated frame. Yet, energy considerations prohibit radiation from a static particle in a…

General Relativity and Quantum Cosmology · Physics 2015-08-11 C. S. Unnikrishnan , George T. Gillies

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

In this paper we investigate the three-dimensional (3D) motion of a test particle in a stationary, axially symmetric spacetime around a central compact object, under the influence of a radiation field. To this aim we extend the…

General Relativity and Quantum Cosmology · Physics 2019-11-05 Vittorio De Falco , Pavel Bakala , Emmanuele Battista , Debora Lančová , Maurizio Falanga , Luigi Stella

Gravitational waves affect the observed direction of light from distant sources. At telescopes, this change in direction appears as periodic variations in the apparent positions of these sources on the sky; that is, as proper motion. A wave…

A point particle of mass $\mu$ moving on a geodesic creates a perturbation $h_{ab}$, of the spacetime metric $g_{ab}$, that diverges at the particle. Simple expressions are given for the singular $\mu/r$ part of $h_{ab}$ and its distortion…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler

The effect of radiation polarization attended with the motion of spinning charge in the magnetic field could be viewed through the classical theory of self-interaction. The quantum expression for the polarization time follows from the…

High Energy Physics - Theory · Physics 2007-05-23 S. L. Lebedev
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