Nonholonomic Black Ring and Solitonic Solutions in Finsler and Extra Dimension Gravity Theories

TL;DR

This paper explores complex black ring and solitonic solutions within Finsler and higher-dimensional gravity theories, revealing new vacuum configurations that extend classical solutions with anisotropic and nonholonomic features.

Contribution

It introduces novel nonholonomic black ring and solitonic solutions in Finsler and extra dimension gravity, including vacuum configurations not reducible to zero cosmological constant cases.

Findings

Existence of stationary, anisotropic black ring solutions in Finsler and higher-dimensional spacetimes.

Identification of vacuum nonholonomic gravitational configurations beyond classical limits.

Construction of metrics and connections defining Finsler-Einstein geometries on tangent bundles and nonholonomic manifolds.

Abstract

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.