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

TL;DR

This paper explores solitonic solutions, including black rings and Kerr-like ellipsoids, within a modified Einstein-Finsler gravity framework that extends general relativity by incorporating velocity-dependent variables.

Contribution

It introduces exact black ring and Kerr-like solutions in Einstein-Finsler theory, extending GR to include velocity-dependent extra dimensions.

Findings

Derived black ring and Kerr-like solutions in Finsler gravity

Demonstrated the dependence of metrics on velocity variables

Presented soliton configurations in the extended framework

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".