Charged massive particle at rest in the field of a Reissner-Nordstroem black hole. II. Analysis of the field lines and the electric Meissner effect

Journal Article · Sat Mar 15 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.064020· OSTI ID:21249838

Bini, D; Geralico, A; Ruffini, R ^[1]

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1. Istituto per le Applicazioni del Calcolo 'M. Picone', CNR I-00161 Rome (Italy) and ICRA, University of Rome 'La Sapienza', I-00185 Rome (Italy)

The properties of the electric field of a two-body system consisting of a Reissner-Nordstroem black hole and a charged massive particle at rest have recently been analyzed in the framework of first order perturbation theory following the standard approach of Regge, Wheeler, and Zerilli. In the present paper we complete this analysis by numerically constructing and discussing the lines of force of the ''effective'' electric field of the sole particle with the subtraction of the dominant contribution of the black hole. We also give the total field due to the black hole and the particle. As the black hole becomes extreme an effect analogous to the Meissner effect arises for the electric field, with the ''effective field'' lines of the point charge being expelled by the outer horizon of the black hole. This effect existing at the level of test field approximation, i.e. by neglecting the backreaction on the background metric and electromagnetic field due to the particle's mass and charge, is here found also at the complete perturbative level. We point out analogies with similar considerations for magnetic fields by Bicak and Dvorak. We also explicitly show that the linearization of the recently obtained Belinski-Alekseev exact solution coincides with our solution in the Regge-Wheeler gauge. Our solution thus represents a bridge between the test field solution, which neglects all the feedback terms, and the exact two-body solution, which takes into account all the nonlinearity of the interaction.

• OSTI ID: 21249838
• Journal Information: Physical Review. D, Particles Fields, Vol. 77, Issue 6; Other Information: DOI: 10.1103/PhysRevD.77.064020; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
APPROXIMATIONS
BLACK HOLES
CHARGED PARTICLES
ELECTRIC FIELDS
ELECTROMAGNETIC FIELDS
EXACT SOLUTIONS
FEEDBACK
INTERACTIONS
MAGNETIC FIELDS
MASS
NONLINEAR PROBLEMS
PERTURBATION THEORY
POINT CHARGE
TWO-BODY PROBLEM