Black Ring and Kerr Ellipsoid - Solitonic Configurations in Modified Finsler Gravity

Abstract

We study an effective Einstein-Finsler theory on tangent Lorentz bundle constructed as a "minimal" extension of general relativity. Black ring and Kerr like ellipsoid exact solutions and soliton configurations are presented. In this endeavor the relevant metric depends not only on four dimensional spacetime coordinates and also on velocity type variables that can be interpreted as additional coordinates in the space of "extra dimensions".

15 pages, latex 2e; version accepted on 25 May 2015 by IJGMMP

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• Standard static Finsler spacetimes
• The Finslerian compact star model
• The Einstein-Hilbert-Palatini formalism in Pseudo-Finsler Geometry
• Quasi-Stationary Solutions in Gravity Theories with Modified Dispersion Relations and Finsler-Lagrange-Hamilton Geometry
• Quantum geometric information flows and relativistic generalizations of G. Perelman thermodynamics for nonholonomic Einstein systems with black holes and stationary solitonic hierarchies