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Related papers: Scalar self-force on eccentric geodesics in Schwar…

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The equations of motion of a point particle interacting with its own field are defined in terms of a certain regularized self-field. Two of the leading methods for computing this regularized field are the mode-sum and effective-source…

General Relativity and Quantum Cosmology · Physics 2014-10-28 Niels Warburton , Barry Wardell

Fast, reliable orbital evolutions of compact objects around massive black holes will be needed as input for gravitational wave search algorithms in the data stream generated by the planned Laser Interferometer Space Antenna (LISA).…

General Relativity and Quantum Cosmology · Physics 2012-03-06 Sarp Akcay

Prescriptions for numerical self-force calculations have traditionally been designed for frequency-domain or (1+1) time-domain codes which employ a mode decomposition to facilitate in carrying out a delicate regularization scheme. This has…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Ian Vega , Peter Diener , Wolfgang Tichy , Steven Detweiler

We investigate timelike geodesics in asymptotically flat regular black holes supported by a phantom scalar field characterized by a scalar charge $A$. This parameter removes the central singularity and continuously deforms the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-04-23 P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

This review is concerned with the gravitational self-force acting on a mass particle in orbit around a large black hole. Renewed interest in this old problem is driven by the prospects of detecting gravitational waves from strongly…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Leor Barack

We compute the electromagnetic self-force acting on a charged particle held in place at a fixed position r outside a five-dimensional black hole described by the Schwarzschild-Tangherlini metric. Using a spherical-harmonic decomposition of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Matthew J. S. Beach , Eric Poisson , Bernhard G. Nickel

If a small "particle" of mass $\mu M$ (with $\mu \ll 1$) orbits a black hole of mass $M$, the leading-order radiation-reaction effect is an $\mathcal{O}(\mu^2)$ "self-force" acting on the particle, with a corresponding $\mathcal{O}(\mu)$…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Jonathan Thornburg , Barry Wardell

In this work we present the first calculation of the gravitational self-force on generic bound geodesics in Kerr spacetime to first order in the mass-ratio. That is, the local correction to equations of motion for a compact object orbiting…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Maarten van de Meent

We consider the self-force acting on a pointlike (electromagnetic or conformal-scalar) charge held fixed on a spacetime with a spherically-symmetric mass distribution of constant density (the Schwarzschild star). The Schwarzschild interior…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Abhinove N. Seenivasan , Sam R. Dolan

We study the self force acting on a particle endowed with scalar charge, which is held static (with respect to an undragged, static observer at infinity) outside a stationary, axially-symmetric black hole. We find that the acceleration due…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko , Yuk Tung Liu

This is the third in a series of papers aimed at developing a practical time-domain method for self-force calculations in Kerr spacetime. The key elements of the method are (i) removal of a singular part of the perturbation field with a…

General Relativity and Quantum Cosmology · Physics 2013-05-13 Sam R. Dolan , Leor Barack

For a particle in orbit about a static spherically symmetric body, we study the change in self-force that results when the central body type (i.e., the choice of interior metric for the Schwarzschild exterior) is changed. While a straight…

General Relativity and Quantum Cosmology · Physics 2011-06-24 Theodore D. Drivas , Samuel E. Gralla

Self-force methods can be applied in calculations of the scatter angle in two-body hyperbolic encounters, working order by order in the mass ratio (assumed small) but with no recourse to a weak-field approximation. This, in turn, can inform…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Oliver Long , Leor Barack

In a previous paper, we computed expressions for the Detweiler-Whiting singular field of point scalar, electromagnetic and gravitational charges following a geodesic of the Schwarzschild spacetime. We now extend this to the case of…

General Relativity and Quantum Cosmology · Physics 2014-01-29 Anna Heffernan , Adrian Ottewill , Barry Wardell

We numerically calculate the dissipative part of the self-force on a scalar charge moving on a circular, geodesic, equatorial orbit in Kerr spacetime. The solution to the scalar field equation is computed by separating variables and is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Samuel E. Gralla , John L. Friedman , Alan G. Wiseman

We derive a new regularization method for the calculation of the (massless) scalar self force in curved spacetime. In this method, the scalar self force is expressed in terms of the difference between two retarded scalar fields: the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Eran Rosenthal

The singular field of a point charge has recently been described in terms of a new Green's function of curved spacetime. This singular field plays an important role in the calculation of the self-force acting upon the particle. We provide a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eirini Messaritaki

[abridged] The inspiral of a stellar compact object into a massive black hole is one of the main sources of gravitational waves for the future space-based Laser Interferometer Space Antenna. We expect to be able to detect and analyze many…

General Relativity and Quantum Cosmology · Physics 2014-11-21 P. Canizares , C. F. Sopuerta , J. L. Jaramillo

We develop an approach to calculate the self-force on a charged particle held in place in a curved spacetime, in which the particle is attached to a massless string and the force is measured by the string's tension. The calculation is based…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Michael LaHaye , Eric Poisson

We study conservative finite-mass corrections to the motion of a particle in a bound (eccentric) strong-field orbit around a Schwarzschild black hole. We assume the particle's mass $\mu$ is much smaller than the black hole mass $M$, and…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Leor Barack , Norichika Sago