Thermodynamics and Hawking radiation of five-dimensional rotating charged G\"{o}del black holes

TL;DR

This paper investigates the thermodynamics and Hawking radiation of five-dimensional rotating charged G"{o}del black holes, revealing their unique features and confirming Hawking radiation as a quantum effect at the horizon.

Contribution

It extends the analysis of black hole thermodynamics and Hawking radiation to G"{o}del-type black holes, using covariant anomaly and effective action methods.

Findings

Consistent energy, angular momentum, and charge calculations with the first law.

Hawking fluxes derived via anomaly cancellation and effective action match blackbody radiation.

Supports Hawking radiation as a quantum phenomenon at the event horizon.

Abstract

We study the thermodynamics of G\"{o}del-type rotating charged black holes in five-dimensional minimal supergravity. These black holes exhibit some peculiar features such as the presence of closed time-like curves and the absence of globally spatial-like Cauchy surface. We explicitly compute their energies, angular momenta, and electric charges that are consistent with the first law of thermodynamics. Besides, We extend the covariant anomaly cancellation method, as well as the approach of the effective action, to derive their Hawking fluxes. Both the methods of the anomaly cancellation and effective action give the same Hawking fluxes as those from Planck distribution for blackbody radiation in the background of the charged rotating G\"{o}del black holes. Our results further support that Hawking radiation is a quantum phenomenon arising at the event horizon.