Thermodynamics of charged and rotating black strings

TL;DR

This paper investigates the thermodynamic properties of cylindrically symmetric black strings, including uncharged, charged, and rotating cases, deriving key quantities and highlighting differences from spherical black holes.

Contribution

It provides new derivations of surface gravity, Hawking temperature, and entropy for black strings, correcting previous results and exploring their unique thermodynamic behavior.

Findings

Black strings have distinct thermodynamic properties from spherical black holes.

Derived formulas for surface gravity, temperature, and entropy for various black string configurations.

Identified corrections to existing literature on black string thermodynamics.

Abstract

We study thermodynamics of cylindrically symmetric black holes. Uncharged as well as charged and rotating objects have been discussed. We derive surface gravity and hence the Hawking temperature and entropy for all these cases. We correct some results in the literature and present new ones. It is seen that thermodynamically these black configurations behave differently from spherically symmetric objects.