Charged Rotating Dilaton Black Strings

TL;DR

This paper introduces new charged rotating solutions in Einstein-Maxwell-dilaton gravity, analyzing their horizon structures, thermodynamics, and extending the solutions to higher dimensions with various spacetime configurations.

Contribution

It presents novel charged rotating black string and brane solutions in Einstein-dilaton gravity with detailed thermodynamic analysis and horizon structure classification.

Findings

Solutions include black holes, strings, and naked singularities.

Thermodynamic quantities satisfy the first law.

Higher-dimensional solutions extend the four-dimensional results.

Abstract

In this paper we, first, present a class of charged rotating solutions in four-dimensional Einstein-Maxwell-dilaton gravity with zero and Liouville-type potentials. We find that these solutions can present a black hole/string with two regular horizons, an extreme black hole or a naked singularity provided the parameters of the solutions are chosen suitable. We also compute the conserved and thermodynamic quantities, and show that they satisfy the first law of thermodynamics. Second, we obtain the ($n+1$%)-dimensional rotating solutions in Einstein-dilaton gravity with Liouville-type potential. We find that these solutions can present black branes, naked singularities or spacetimes with cosmological horizon if one chooses the parameters of the solutions correctly. Again, we find that the thermodynamic quantities of these solutions satisfy the first law of thermodynamics.