Black Holes, Ellipsoids, and Nonlinear Waves in Pseudo-Finsler Spaces and Einstein Gravity

作者：Vacaru Sergiu I^*

来源：International Journal of Theoretical Physics, 2013, 52(5): 1654-1681.

DOI：10.1007/s10773-013-1487-5

• Pseudo-Finsler geometry
• Nonholonomic manifolds and bundles
• Nonlinear connections
• Black holes and ellipsoids

We model pseudo-Finsler geometries, with pseudo-Euclidean signatures of metrics, for two classes of four dimensional nonholonomic manifolds: (a) tangent bundles with two dimensional base manifolds and (b) pseudo-Riemannian/Einstein spaces. Such spacetimes are enabled with nonholonomic distributions and theirs metrics are solutions of the field equations in general relativity and/or generalizations. We rewrite the Schwarzschild metric in Finsler variables and use it for generating new classes of black hole objects with stationary deformations to ellipsoidal configurations. The conditions are analyzed when such metrics describe embedding of black hole solutions into nontrivial solitonic backgrounds.

• 出版日期2013-5