Black strings with negative cosmological constant: inclusion of electric charge and rotation

TL;DR

This paper extends the study of higher-dimensional black strings with negative cosmological constant by including electric charge and rotation, analyzing their properties, thermodynamics, and conserved charges through numerical methods.

Contribution

It introduces charged and rotating black string solutions in AdS space, providing a numerical analysis of their properties and thermodynamics, which was not previously explored.

Findings

No regular limit for zero event horizon radius in charged, rotating cases.

Thermodynamics follows patterns of AdS black hole solutions.

Numerical methods used to compute conserved charges and analyze properties.

Abstract

We generalize the vacuum static black strings with negative cosmological constant recently discussed in literature, by including an electromagnetic field. These higher-dimensional configurations have no dependence on the `compact' extra dimension, and their boundary topology is the product of time and $S^{d-3}\times S^1$ or $H^{d-3}\times S^1$. Rotating generalizations of the even dimensional black string configurations are considered as well. Different from the static, neutral case, no regular limit is found for a vanishing event horizon radius. We explore numerically the general properties of such solutions and, using a counterterm prescription, we compute their conserved charges and discuss their thermodynamics. We find that the thermodynamics of the black strings follows the pattern of the corresponding black hole solutions in AdS backgrounds.