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We determine in closed form the electrostatic potential generated by a point charge at rest in a simple model of static spherically symmetric wormhole. From this, we deduce the electrostatic self-energy of this point charge.

General Relativity and Quantum Cosmology · Physics 2008-01-14 Bernard Linet

We consider the Brans-Dicke Reissner-Nordstrom spacetime in isotropic coordinates and the electrostatic field of an electric point charge placed outside its surface of inversion. We treat the static electric point charge as a linear…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Maya Watanabe , A. W. C Lun

We explicitly determine the expression of the electrostatic potential generated by a point charge at rest in the Schwarzschild black hole pierced by a cosmic string. We can then calculate the electrostatic self-energy. From this, we find…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Linet

We determine the expression of the electrostatic self-energy for a point charge in the static black holes with spherical symmetry having suitable properties

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Linet

We put model-independent, dynamical constraints on the net electric charge Q of some astronomical and astrophysical objects by assuming that their exterior spacetimes are described by the Reissner-Nordstroem metric, which induces an…

General Relativity and Quantum Cosmology · Physics 2012-06-11 Lorenzo Iorio

The electrostatic potential of any test charge distribution in Schwarzschild space with boundary values is derived. We calculate the Green's function, generalize the second Green's identity for p-forms and find the general solution.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Pal G. Molnar

We give three different spherically symmetric spacetimes for the coupled gravitational and electromagnetic fields with charged source in the tetrad theory of gravitation. One of these, contains an arbitrary function and generates the…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Gamal G. L. Nashed

We calculate the electrostatic potential of a periodic lattice of arbitrary extended charges by using the Cartesian multipole formalism. This method allows the separation of the long-range potential from the contact potential (potential on…

Classical Physics · Physics 2014-09-11 G. Vaman

We determine the electrostatic self-force at rest in an arbitrary static metric with cylindrical symmetry in the linear approximation in the Newtonian constant. In linearised Einstein theory, we express it in terms of the components of the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 B. Boisseau , C. Charmousis , B. Linet

We calculate the electrostatic self-force on an electric dipole in the spacetime generated by a static, thin, infinite and straight cosmic string. The electric dipole is held fixed in different configurations, namely, parallel,…

High Energy Physics - Theory · Physics 2015-06-17 C. R. Muniz , V. B Bezerra

We present the full set of analytical solutions of the geodesic equations of charged test particles in the Reissner-Nordstr\"om space-time in terms of the Weierstra{\ss} $\wp$, $\sigma$ and $\zeta$ elliptic functions. Based on the study of…

General Relativity and Quantum Cosmology · Physics 2011-02-18 Saskia Grunau , Valeria Kagramanova

We evaluate the electrostatic potential and the electrostatic field created by a point charge and an arbitrarly oriented electrical dipole placed near a grounded perfectly conducting sphere. Induced surface charge distributions as well as…

Physics Education · Physics 2013-04-18 F C Santos , A C Tort

The electrostatic potential generated by a point charge at rest in a simple static, spherically symmetric wormhole is given in the form of series of multipoles and in closed form. The general potential which is physically acceptable depends…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Bruno Boisseau , Bernard Linet

We calculate the self-force of a point charge in rectilinear motion, using a local method and compare our results with those from the literature.

Classical Physics · Physics 2018-12-11 G. Vaman

We determine the self-energy for a point charge held stationary in a topologically charged black hole spacetime arising from the Randall-Sundrum II braneworld model, showing that it has two contributions, one of geometric origin and the…

General Physics · Physics 2015-12-23 Alexis Larranaga , Alejandro Cardenas-Avendano , Daniel Alexdy Torres

We discuss an alternative way of prescribing the spacetime geometry associated with a non-radiating distribution of charged matter. It is based on the possibility that the electrostatic self-energy does not reside on the Coulombian field…

General Relativity and Quantum Cosmology · Physics 2011-12-23 Carlos Barcelo , Jose Luis Jaramillo

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

In the present paper we argue that the dyonic black hole spacetimes must be studied within the theory of two electromagnetic potentials, and we use the dyonic Reissner-Nordstr\"om solution to demonstrate that the field of the monopole…

General Relativity and Quantum Cosmology · Physics 2023-03-29 C. J. Ramírez-Valdez , H. García-Compeán , V. S. Manko

This paper is devoted to the analysis of the divergence of the electron self-energy in classical electrodynamics. To do so, we appeal to the theory of distributions and a method for obtaining corresponding extensions. At first sight,…

General Physics · Physics 2023-08-16 H. R. de Assis , B. F. Rizzuti

In this paper we propose a stationary solution of Einstein's field equations describing Reissner-Nordstrom black hole in dark energy background. It is to be regarded as the Reissner-Nordstrom black hole is embedded into the dark energy…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh
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