Covariant anomalies and Hawking radiation from charged rotating black strings in anti-de Sitter spacetimes

TL;DR

This paper extends the covariant anomaly cancellation method to derive Hawking radiation from charged rotating black strings in anti-de Sitter spacetimes with various horizon topologies, including higher dimensions and variable cosmological constant.

Contribution

It generalizes the anomaly cancellation approach to non-spherical horizons and higher-dimensional black strings, providing a unified framework for Hawking radiation in these spacetimes.

Findings

Hawking fluxes match anomaly cancellation predictions

The method applies to non-spherical horizon topologies

Black string thermodynamics are analyzed with variable cosmological constant

Abstract

Motivated by the success of the recently proposed method of anomaly cancellation to derive Hawking fluxes from black hole horizons of spacetimes in various dimensions, we have further extended the covariant anomaly cancellation method shortly simplified by Banerjee and Kulkarni to explore the Hawking radiation of the (3+1)-dimensional charged rotating black strings and their higher dimensional extensions in anti-de Sitter spacetimes, whose horizons are not spherical but can be toroidal, cylindrical or planar, according to their global identifications. It should be emphasized that our analysis presented here is very general in the sense that the determinant of the reduced (1+1)-dimensional effective metric from these black strings need not be equal to one $(\sqrt{-g} \neq 1)$. Our results indicate that the gauge and energy momentum fluxes needed to cancel the (1+1)-dimensional covariant gauge and gravitational anomalies are compatible with the Hawking fluxes. Besides, thermodynamics of these black strings are studied in the case of a variable cosmological constant.