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

Understand

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.