Anisotropic Black Holes in Einstein and Brane Gravity
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We consider exact solutions of Einstein equations defining static black holes parametrized by off-diagonal metrics which by anholonomic mappings can be equivalently transformed into some diagonal metrics with coefficients being very similar to those from the Schwarzschild and/or Reissner-Nördstrom solutions with anisotropic renormalizations of constants. We emphasize that such classes of solutions, for instance, with ellipsoidal symmetry of horizons, can be constructed even in general relativity theory if off-diagonal metrics and anholonomic frames are introduced into considerations. Such solutions do not violate the Israel's uniqueness theorems on static black hole configurations because at long radial distances one holds the usual Schwarzschild limit. We show that anisotropic deformations of the Reissner-Nördstrom metric can be an exact solution on the brane, re-interpreted as a black hole with an effective electromagnetic like charge anisotropically induced and polarized by higher dimension gravitational interactions.
6 pages, Revtex, version 4, new references and affiliation
6 pages, Revtex, version 4, new references and affiliation
Citation
Consulte el texto completo en el siguiente enlace:
https://arxiv.org/abs/hep-th/0108065
http://arxiv.org/abs/hep-th/0108065
Chapter 8 in: "Clifford and Riemann Finsler Structures in Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. Stavrinos, E. Gaburov and D. Gonta (Geometry Balkan Press, 2006) http://www.mathem.pub.ro/dgds/mono/va-t.pdf
http://arxiv.org/abs/hep-th/0108065
Chapter 8 in: "Clifford and Riemann Finsler Structures in Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. Stavrinos, E. Gaburov and D. Gonta (Geometry Balkan Press, 2006) http://www.mathem.pub.ro/dgds/mono/va-t.pdf