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This article deals with the efficient and accurate computation of the electrostatic forces between charged, spherical dielectric particles undergoing mutual polarisation. We use the spectral Galerkin boundary integral equation framework…

Numerical Analysis · Mathematics 2020-07-14 Muhammad Hassan , Benjamin Stamm

The masses of the elementary particles as well as their charges and spins belong to the fundamental physical constants. Presently, no fundamental theory describing them is available, so their values remain mysterious. In this work we offer…

General Physics · Physics 2023-12-04 Bjoern S. Schmekel

We derive exact expressions for the scalar and electromagnetic self-forces and self-torques acting on arbitrary static extended bodies in arbitrary static spacetimes with any number of dimensions. Non-perturbatively, our results are…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Abraham I. Harte , Éanna É. Flanagan , Peter Taylor

We implement a probe counterpart of Newman-Janis algorithm, which Wick rotates the all-orders geodesic deviation equation into a part of exact spinning-particle equations of motion. Consequently, the gravitational dynamics of the Kerr black…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Joon-Hwi Kim

The radiation reaction for a point-like charge coupled to a massive scalar field is considered. The retarded Green's function associated with the Klein-Gordon wave equation has support not only on the future light cone of the emission point…

Mathematical Physics · Physics 2012-07-23 Yurij Yaremko

We present a simple approach for obtaining Kerr interior solutions with the help of the Newman-Janis algorithm (NJA) starting with static space-times describing physically sensible interior Schwarzschild solutions. In this context, the…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Stefano Viaggiu

Ernst's solution generating technique for adding electromagnetic charge to axisymmetric space-times in general relativity is generalised in presence of the cosmological constant. Ernst equations for complex potentials are found and they are…

General Relativity and Quantum Cosmology · Physics 2012-08-02 Marco Astorino

We give a quantum field theoretical derivation of the scalar Abraham-Lorentz-Dirac (ALD) equation and the self-force for a scalar charged particle interacting with a quantum scalar field in curved spacetime. We regularize the causal Green's…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Chad R. Galley , B. L. Hu

We calculate the electrostatic potential generated by a point charge in the space-time of Reissner-Nordstrom with a conical defect. An expression for the self-energy is also presented.

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Spinelly , V. B. Bezerra

The Newman-Janis algorithm is supplemented with a null rotation and applied to the tensors of the Reissner-Nordstr\"om spacetime to generate the metric, Maxwell, Ricci and Weyl tensors for the Kerr-Newman spacetime. This procedure also…

General Relativity and Quantum Cosmology · Physics 2014-07-18 Aidan J. Keane

We present two results in the treatment of self-force of accelerating bodies. If the total force on an extended rigid object is calculated from the change of momentum summed over planes of simultaneity of successive rest frames, then we…

Classical Physics · Physics 2018-10-08 Andrew Steane

We extend our previous calculation of the quasi-local contribution to the self-force on a scalar particle to general (not necessarily geodesic) motion in a general spacetime. In addition to the general case and the case of a particle at…

General Relativity and Quantum Cosmology · Physics 2012-01-17 Adrian C. Ottewill , Barry Wardell

A new metric is obtained by applying a complex coordinate trans- formation to the static metric of the self-gravitating Born-Infeld monopole. The behaviour of the new metric is typical of a rotating charged source, but this source is not a…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Diego Cirilo-Lombardo

We revisit the problem of computing the self-force on a scalar charge moving along an eccentric geodesic orbit around a Schwarzschild black hole. This work extends previous scalar self-force calculations for circular orbits, which were…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Ian Vega , Barry Wardell , Peter Diener , Samuel Cupp , Roland Haas

An exact charged axially symmetric solution of the coupled gravitational and electromagnetic fields in the teleparallel equivalent of Einstein theory is derived. It is characterized by three parameters ``$ $the gravitational mass $M$, the…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Gamal G. L. Nashed

The Newman-Janis trick is a procedure, (not even really an ansatz), for obtaining the Kerr spacetime from the Schwarzschild spacetime. This 50 year old trick continues to generate heated discussion and debate even to this day. Most of the…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Del Rajan , Matt Visser

We develop a systematic approach to calculating the electrostatic force between point charges in an arbitrary geometry with arbitrary boundary conditions. When the boundary is present, the simple expression for the force acting on a charge…

Classical Physics · Physics 2007-05-23 Alexander Silbergleit , Ilya Nemenman , Ilya Mandel

We present an analytic method based on the Hadamard-WKB expansion to calculate the self-force for a particle with scalar charge that undergoes radial infall in a Schwarzschild spacetime after being held at rest until a time t = 0. Our…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Paul R. Anderson , Ardeshir Eftekharzadeh , B. L. Hu

We compute the self-force on a scalar charge at rest in the spacetime of long throat. We consider arbitrary values of the mass of the scalar field and the constant of nonmnimal coupling of the scalar field to the curvature of spacetime. We…

General Relativity and Quantum Cosmology · Physics 2018-09-19 A. Popov , O. Aslan

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
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