Rotating Spacetimes generalizing Lifshitz Black Holes

TL;DR

This paper introduces a new rotating black hole solution in higher dimensions within Einstein-Maxwell-Dilaton theory, which generalizes Lifshitz black holes and includes detailed thermodynamic and stability analyses.

Contribution

It presents a novel rotating black hole solution with maximal rotation parameters that generalizes Lifshitz black holes, including thermodynamic and stability properties.

Findings

The solution reduces to Lifshitz black holes when rotation parameters are zero.

The first law of thermodynamics is verified for the solution.

The stability analysis reveals insights into the black hole's thermodynamic behavior.

Abstract

We present a spinning black hole solution in $d$ dimensions with a maximal number of rotation parameters in the context of the Einstein-Maxwell-Dilaton theory. An interesting feature of such a solution is that it accommodates Lifshitz black holes when the rotation parameters are set to zero. We verify the rotating nature of the black hole solution by performing the quasi-local analysis of conserved charges and defining the corresponding angular momenta. In addition, we perform the thermodynamical analysis of the black hole configuration, show that the first law of thermodynamics is completely consistent, and obtain a Smarr-like formula. We further study the thermodynamic stability of the constructed solution from a local viewpoint, by computing the associated specific heats, and from a global perspective, by using the so-called new thermodynamic geometry. We finally make some comments related to a pathology found in the causal structure of the obtained rotating black hole spacetime and compute some of its curvature invariants.