Finsler Black Holes Induced by Noncommutative Anholonomic Distributions in Einstein Gravity - Mathematical PhysicsReport as inadecuate




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Abstract: We study Finsler black holes induced from Einstein gravity as possibleeffects of quantum spacetime noncommutativity. Such Finsler models are definedby nonholonomic frames not on tangent bundles but on pseudo Riemannianmanifolds being compatible with standard theories of physics. We focus onnoncommutative deformations of Schwarzschild metrics into locally anisotropicstationary ones with spherical-rotoid symmetry. There are derived theconditions when black hole configurations can be extracted from two classes ofexact solutions depending on noncommutative parameters. The first class ofmetrics is defined by nonholonomic deformations of the gravitational vacuum bynoncommutative geometry. The second class of such solutions is induced bynoncommutative matter fields and-or effective polarizations of cosmologicalconstants.



Author: Sergiu I. Vacaru

Source: https://arxiv.org/



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