Three-dimensional stationary cyclic symmetric Einstein-Maxwell solutions; black holes

Journal Article · Tue Sep 15 00:00:00 EDT 2009 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2009.04.004· OSTI ID:21308087

Garcia, Alberto A ^[1]

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1. Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del IPN, Apdo. Postal 14-740, 07000 Mexico, DF (Mexico)

From a general metric for stationary cyclic symmetric gravitational fields coupled to Maxwell electromagnetic fields within the (2 + 1)-dimensional gravity the uniqueness of wide families of exact solutions is established. Among them, all uniform electromagnetic solutions possessing electromagnetic fields with vanishing covariant derivatives, all fields having constant electromagnetic invariants F{sub {mu}}{sub {nu}}F{sup {mu}}{sup {nu}} and T{sub {mu}}{sub {nu}}T{sup {mu}}{sup {nu}}, the whole classes of hybrid electromagnetic solutions, and also wide classes of stationary solutions are derived for a third-order nonlinear key equation. Certain of these families can be thought of as black hole solutions. For the most general set of Einstein-Maxwell equations, reducible to three nonlinear equations for the three unknown functions, two new classes of solutions - having anti-de Sitter spinning metric limit - are derived. The relationship of various families with those reported by different authors' solutions has been established. Among the classes of solutions with cosmological constant a relevant place is occupied by the electrostatic and magnetostatic Peldan solutions, the stationary uniform and spinning Clement classes, the constant electromagnetic invariant branches with the particular Kamata-Koikawa solution, the hybrid cyclic symmetric stationary black hole fields, and the non-less important solutions generated via SL(2,R)-transformations where the Clement spinning charged solution, the Martinez-Teitelboim-Zanelli black hole solution, and Dias-Lemos metric merit mention.

• OSTI ID: 21308087
• Journal Information: Annals of Physics (New York), Vol. 324, Issue 9; Other Information: DOI: 10.1016/j.aop.2009.04.004; PII: S0003-4916(09)00088-8; Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER GROUP
ANTI DE SITTER SPACE
BLACK HOLES
COSMOLOGICAL CONSTANT
EINSTEIN-MAXWELL EQUATIONS
ELECTROMAGNETIC FIELDS
ELECTROMAGNETISM
EXACT SOLUTIONS
GRAVITATION
GRAVITATIONAL FIELDS
METRICS
NONLINEAR PROBLEMS
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS