Charged Einstein-aether black holes and Smarr formula

TL;DR

This paper introduces new exact charged black hole solutions within Einstein-Maxwell-aether theory, analyzes their horizon properties, and derives modified Smarr formulas, revealing differences from neutral cases in horizon temperature behavior.

Contribution

The work presents two novel classes of charged black hole solutions in Einstein-Maxwell-aether theory and develops corresponding Smarr formulas and temperature calculations.

Findings

Charged black holes with universal and Killing horizons are constructed.

The horizon temperature is not proportional to surface gravity, unlike neutral cases.

Extensions to include cosmological constant and topological variants are provided.

Abstract

In the framework of the Einstein-Maxwell-aether theory, we present two new classes of exact charged black hole solutions, which are asymptotically flat and possess the universal as well as Killing horizons. We also construct the Smarr formulas, and calculate the temperatures of the horizons, using the Smarr mass-area relation. We find that, in contrast to the neutral case, such obtained temperature is not proportional to its surface gravity at any of the two kinds of the horizons. Einstein-Maxwell-aether black holes with the cosmological constant and their topological cousins are also given.