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Approximate all-terrain spacetimes for astrophysical applications are presented. The metrics possess five relativistic multipole moments, namely mass, rotation, mass quadrupole, charge, and magnetic dipole moment. All these spacetimes…

General Relativity and Quantum Cosmology · Physics 2024-11-25 Francisco Frutos-Alfaro

Einstein-Maxwell field equations correspoding to higher dimensional description of static spherically symmetric space-time have been solved under two specific set of conditions, viz., (i) $\rho \ne 0$, $\nu^\prime= 0$ and (ii) $\rho=0$, $…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Saibal Ray

The thermal self-energy of an electron in a static uniform magnetic field $B$ is calculated to first order in the fine structure constant $\alpha $ and to all orders in $eB$. We use two methods, one based on the Furry picture and another…

High Energy Physics - Phenomenology · Physics 2009-10-28 Per Elmfors , David Persson , Bo-Sture Skagerstam

The foundations are laid for the numerical computation of the actual worldline for a particle orbiting a black hole and emitting gravitational waves. The essential practicalities of this computation are here illustrated for a scalar…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler , Eirini Messaritaki , Bernard F. Whiting

We derive van der Waals-London and Casimir forces by calculating the eigenmodes of the electromagnetic field interacting with two semi-infinite bodies (two halves of space) with parallel surfaces separated by distance d. We adopt simple…

Mesoscale and Nanoscale Physics · Physics 2009-11-17 M. Apostol , G. Vaman

A particle in the vicinity of a Schwarzschild black hole is known to trace a geodesic of the Schwarzschild background, to a first approximation. If the interaction of the particle with its own field (scalar, electromagnetic or…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Eirini Messaritaki

We derive a non-empirical, orbital-free density functional for the total energy of interacting electrons in two dimensions. The functional consists of a local formula for the interaction energy, where we follow the lines introduced by Parr…

Strongly Correlated Electrons · Physics 2009-10-09 S. Pittalis , E. Rasanen

In this paper we investigate the link between classical electrodynamics and the mass-energy equivalence principle, in view of the conclusions reached in ref.[1]. A formula for the radius of a charged particle is derived. The formula…

General Physics · Physics 2009-07-16 Ezzat G. Bakhoum

In this work we analytically calculate the time-averaged electromagnetic energy stored inside a nondispersive magnetic isotropic cylinder which is obliquely irradiated by an electromagnetic plane wave. An expression for the…

Optics · Physics 2010-10-15 Tiago Jose Arruda , Alexandre Souto Martinez

A point-like neutron in an external electromagnetic field experiences a shift in energy that mimicks the effect of an actual structural deformation of an extended neutron, i.e., a proper polarizability. In order to be able to differentiate…

High Energy Physics - Phenomenology · Physics 2021-09-14 Jesus Saenz , Michael Engelhardt , Roman Höllwieser

We study the electron self--energy in a strong magnetic field when the parameter \eta\equiv (\alpha/2\pi) \ln^2 (eB/m^2_0) \sim 1 and explore the transition between the perturbative regime \eta<<1 and the nonperturbative massless QED regime…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. P. Gusynin , A. V. Smilga

Nearly all field theories suffer from singularities when particles are introduced. This is true in both classical and quantum physics. Classical field singularities result in the notorious self-force problem, where it is unknown how the…

Classical Physics · Physics 2015-12-01 Yaron Hadad , Eliahu Cohen , Ido Kaminer , Avshalom C. Elitzur

When a stellar-mass compact object is captured by a supermassive black hole located in a galactic centre, the system losses energy and angular momentum by the emission of gravitational waves. Subsequently, the stellar compact object evolves…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Priscilla Canizares , Carlos F. Sopuerta

Maxwell's equations and the equations governing charged particle dynamics are presented for a rotating coordinate system with the global time coordinate of an observer on the rotational axis. Special care is taken in defining the relevant…

Astrophysics · Physics 2012-08-27 Paul N. Arendt,

Localized energy estimates for the wave equation have been increasingly used to prove various other dispersive estimates. This article focuses on proving such localized energy estimates on $(1+4)$-dimensional Myers-Perry black hole…

Analysis of PDEs · Mathematics 2014-01-03 Parul Laul , Jason Metcalfe , Shreyas Tikare , Mihai Tohaneanu

We analyze the electrostatic self-energy of a point like electrically charged particle induced by a cosmic string in the context of gravity's rainbow, as well the electrostatic self-force on this particle. The possibility of the solution…

General Relativity and Quantum Cosmology · Physics 2020-01-08 L. C. N. Santos , V. B. Bezerra

For an oscillating electric dipole in the shape of a small, solid, uniformly-polarized, spherical particle, we compute the self-field as well as the radiated electromagnetic field in the surrounding free space. The assumed geometry enables…

Classical Physics · Physics 2020-08-21 Masud Mansuripur , Per K. Jakobsen

During the past century, there has been considerable discussion and analysis of the motion of a point charge, taking into account "self-force" effects due to the particle's own electromagnetic field. We analyze the issue of "particle…

General Relativity and Quantum Cosmology · Physics 2009-08-12 Samuel E. Gralla , Abraham I. Harte , Robert M. Wald

In this article we study the geodesic motion of test particles and light in the five-dimensional Myers-Perry-anti de Sitter spacetime. We derive the equations of motion and present their solutions in terms of the Weierstra{\ss} $\wp$-,…

General Relativity and Quantum Cosmology · Physics 2018-02-12 Saskia Grunau , Hendrik Neumann , Stephan Reimers

Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-force (or radiation reaction) of an accelerated point-charge traveling in free space. In addition to…

Classical Physics · Physics 2019-02-11 Masud Mansuripur
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