The Thermodynamic Properties of Warped Taub-NUT AdS Black String

TL;DR

This paper investigates the thermodynamic properties of five-dimensional warped Taub-NUT AdS black strings, calculating entropy, stability, and thermodynamic behavior, revealing an area law and warp factor effects.

Contribution

It introduces the calculation of entropy via the brick wall method for warped Taub-NUT AdS black strings and explores their extended thermodynamics and warp factor influence.

Findings

Entropy is proportional to the area and quadratically divergent with cutoff.

A thermodynamically stable temperature range is identified.

Thermodynamic quantities increase with the warp factor.

Abstract

When we consider five-dimensional warped Taub-NUT/Bolt AdS black string with minimally coupled massive scalar field, we calculate entropy by using the brick wall method. It is found that they are proportional to being quadratically divergent in a cutoff parameter. In particular, we show that the entropy of warped Taub-NUT AdS black string holds for an area law in the bulk as well as on the brane. Furthermore, when the negative cosmological constant is treated as thermodynamic pressure, we calculate the thermodynamic quantities and investigate their extended thermodynamic properties. Interestingly, we obtain a thermodynamically stable range as a function of the temperature for warped Taub-NUT AdS black string. Finally, we also study a proportional behavior of the thermodynamic quantities along a warp factor, and find that an entropy, a specific heat, a Gibbs free energy, and an action difference increase as a warp factor grows up.