Finsler Black Holes Induced by Noncommutative Anholonomic Distributions in Einstein Gravity

Details Finsler Black Holes Induced by Noncommutative Anholonomic Distributions in Einstein Gravity Finsler Black Holes Induced by Noncommutative Anholonomic Distributions in Einstein Gravity

2009-07-24

arxiv.org/abs/0907.4278v3

Class. Quant. Grav. 27:105003,2010

Physics

Mathematical Physics

latex 2e, 11pt, 29 pages, v3 accepted to Class. Quant. Grav.

Scientific paper

10.1088/0264-9381/27/10/105003

We study Finsler black holes induced from Einstein gravity as possible effects of quantum spacetime noncommutativity. Such Finsler models are defined by nonholonomic frames not on tangent bundles but on (pseudo) Riemannian manifolds being compatible with standard theories of physics. We focus on noncommutative deformations of Schwarzschild metrics into locally anisotropic stationary ones with spherical/rotoid symmetry. There are derived the conditions when black hole configurations can be extracted from two classes of exact solutions depending on noncommutative parameters. The first class of metrics is defined by nonholonomic deformations of the gravitational vacuum by noncommutative geometry. The second class of such solutions is induced by noncommutative matter fields and/or effective polarizations of cosmological constants.

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