Charged rotating dilaton black strings in AdS spaces

TL;DR

This paper presents new charged rotating dilaton black string solutions in AdS spaces, analyzes their thermodynamics, and introduces a counterterm to remove divergences caused by the dilaton potential.

Contribution

The work derives explicit charged rotating dilaton black string solutions in AdS with a specific dilaton potential and develops a counterterm method for their thermodynamic analysis.

Findings

Solutions are regular and physically consistent.

Thermodynamic properties are successfully computed.

Counterterm method effectively removes divergences.

Abstract

We derive a class of charged rotating dilaton black string solutions in the background of anti-de-Sitter spaces with an appropriate combination of three Liouville-type dilaton potentials. We also present the suitable counterterm which removes the divergences of the action in the presence of dilaton potential. The solutions are analyzed and their thermodynamics is discussed by using the counterterm method.