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We write the electromagnetic self-force of a Lorentz-contractible spherical shell of radius $R$ in arbitrary rectilinear motion as a series expansion in powers of $R$, and calculate the first two terms of this series. The method we use,…

Classical Physics · Physics 2023-09-14 G. Vaman

Recently, Verlinde has suggested a novel model of duality between thermodynamics and gravity which leads to an emergent phenomenon for the origin of gravity and general relativity. In this paper, we investigate some features of this model…

General Relativity and Quantum Cosmology · Physics 2012-07-05 S. Hamid Mehdipour , A. Keshavarz

The electrostatic self-force on a point charge in cylindrical thin-shell space-times is interpreted as the sum of a $bulk$ field and a $shell$ field. The $bulk$ part corresponds to a field sourced by the test charge placed in a space-time…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Emilio Rubín de Celis

Quantum gravity theories predict deformations of black hole solutions relative to their classical counterparts. A model-independent approach was advocated in \cite{Binetti:2022xdi} that uses metric deformations parametrised in terms of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Manuel Del Piano , Stefan Hohenegger , Francesco Sannino

Numerical evaluation of the self-force on a point particle is made difficult by the use of delta functions as sources. Recent methods for self-force calculations avoid delta functions altogether, using instead a finite and extended…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Ian Vega , Barry Wardell , Peter Diener

The space-time geometry exterior to a new four-dimensional, spherically symmetric and charged black hole solution that, through a coupling of general relativity with a non-linear electrodynamics, is everywhere non-singular, for small $r$ it…

General Relativity and Quantum Cosmology · Physics 2020-05-26 I. Radinschi , P. K. Sahoo , Th. Grammenos , S. Chattopadhyay , M. M. Cazacu

To model the radiative evolution of extreme mass-ratio binary inspirals (a key target of the LISA mission), the community needs efficient methods for computation of the gravitational self-force (SF) on the Kerr spacetime. Here we further…

General Relativity and Quantum Cosmology · Physics 2011-02-08 Sam R. Dolan , Leor Barack

A recent research presented a solution for a Schwarzschild black hole with a force-free magnetic field showing how the canonical form of background metric changes, Found. Phys. 52 (2022) 4, 93. Therefore, it is logical that this research…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Haidar Sheikhahmadi

We investigate the use of the Gegenbauer procedure for time-domain reconstruction in frequency-domain calculations of the self-force on a particle orbiting a black hole. The conventional technique relies on the so-called method of extended…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Christopher Whittall , Leor Barack , Oliver Long

We offer a novel derivation of the electromagnetic self-force acting on a charged particle moving in an arbitrary curved spacetime. Our derivation is based on a generalization from flat spacetime to curved spacetime of the extended-body…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Javier Molina Sanchez , Eric Poisson

A modified version of the Reissner-Nordstrom metric is proposed on the grounds of the nonlinear electrodynamics model. The source of curvature is an anisotropic fluid with $p_{r} = -\rho$ which resembles the Maxwell stress tensor at $r >>…

General Relativity and Quantum Cosmology · Physics 2015-11-02 Hristu Culetu

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 a test charged particle falling onto a Schwarzschild black hole and evaluate its electromagnetic field. The Regge-Wheeler equation is solved analytically by approximating the potential barrier with Dirac delta function and…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Komarov S. O. , Gorbatsievich A. K. , Vereshchagin G.

In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics [1]. The starting point for this study is the Einstein-power-Maxwell theory…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Angel Rincon , Ernesto Contreras , Pedro Bargueño , Benjamin Koch , Grigoris Panotopoulos

The (zeroth-order) energy of a particle in the background of a black hole is given by Carter's integrals. However, exact calculations of a particle's {\it self-energy} (first-order corrections) are still beyond our present reach in many…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Shahar Hod

The analysis of the EM radiation from a single charge shows that the radiated power depends on the retarded acceleration of the charge. Therefore, for consistency, an accelerated charge, free from the influence of external forces, should…

Accelerator Physics · Physics 2015-06-26 Reuven Ianconescu , L. P. Horwitz

An analytic method is presented which allows for the computation of the self-force for a static particle with a scalar charge in the region of an ultrastatic spacetime which one can call the long throat. The method is based on the…

General Relativity and Quantum Cosmology · Physics 2011-11-29 Arkady A. Popov

The negative mode of the Schwarzschild black hole is central to Euclidean quantum gravity around hot flat space and for the Gregory-Laflamme black string instability. We analyze the eigenvalue as a function of space-time dimension by…

High Energy Physics - Theory · Physics 2008-11-26 Vadim Asnin , Dan Gorbonos , Shahar Hadar , Barak Kol , Michele Levi , Umpei Miyamoto

We present a first numerical implementation of a new scheme by Pound et al. that enables the calculation of the gravitational self-force in Kerr spacetime from a reconstructed metric-perturbation in a radiation gauge. The numerical task of…

General Relativity and Quantum Cosmology · Physics 2015-08-10 Cesar Merlin , Abhay G. Shah

We consider the self-force on a charged particle moving in a curved spacetime with a background electromagnetic field, extending previous studies to situations in which gravitational and electromagnetic perturbations are comparable. The…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Thomas M. Linz , John L. Friedman , Alan G. Wiseman