Rotating non-asymptotically flat black rings in charged dilaton gravity

TL;DR

This paper presents new rotating black ring and black hole solutions in five-dimensional Einstein-Maxwell-dilaton gravity with specific dilaton coupling, analyzing their properties and thermodynamics.

Contribution

It introduces novel rotating, non-asymptotically flat black ring and black hole solutions derived from six-dimensional Kaluza-Klein theory.

Findings

Derived explicit black ring solutions with rotation and charge.

Computed mass, angular momentum, and charge of solutions.

Confirmed the first law of black hole thermodynamics for these solutions.

Abstract

We derive new rotating, non-asymptotically flat black ring solutions in five-dimensional Einstein-Maxwell-dilaton gravity with dilaton coupling constant $\alpha=\sqrt{8/3}$ which arises from a six-dimensional Kaluza-Klein theory. As a limiting case we also find new rotating, non-asymptotically flat five-dimensional black holes. The solutions are analyzed and the mass, angular momentum and charge are computed. A Smarr-like relation is found. It is shown that the first law of black hole thermodynamics is satisfied.