Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-06-20
Int. J. Theor. Phys.49:1788-1804, 2010
Physics
High Energy Physics
High Energy Physics - Theory
latex 2e, 11pt, 23 pages, v3, typos corrected and updated references; to be published in Int. J. Theor. Phys. (2010)
Scientific paper
10.1007/s10773-010-0360-z
We study stationary configurations mimicking nonholonomic locally anisotropic black rings (for instance, with ellipsoidal polarizations and/or imbedded into solitonic backgrounds) in three/six dimensional pseudo-Finsler/ Riemannian spacetimes. In the asymptotically flat limit, for holonomic configurations, a subclass of such spacetimes contains the set of five dimensional black ring solutions with regular rotating event horizon. For corresponding parameterizations, the metrics and connections define Finsler-Einstein geometries modeled on tangent bundles, or on nonholonomic (pseudo) Riemannian manifolds. In general, there are vacuum nonholonomic gravitational configurations which can not be generated in the limit of zero cosmological constant.
Anastasiei Mihai
Vacaru Sergiu I.
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