On Hawking radiation from black rings

TL;DR

This paper calculates Hawking radiation from five-dimensional charged rotating black rings using anomaly cancellation, confirming the radiation's characteristics and its relation to known results for Myers-Perry black holes.

Contribution

It extends the anomaly-based derivation of Hawking radiation to higher-dimensional black rings, showing consistency with known black hole radiation results.

Findings

Hawking temperature, energy flux, and angular momentum flux match expected values.

The method recovers known results for Myers-Perry black holes as a limit.

Supports the view that Hawking radiation can be derived from anomaly cancellation in higher dimensions.

Abstract

We calculate the quantum radiation from the five dimensional charged rotating black rings by demanding the radiation to eliminate the possible anomalies on the horizons. It is shown that the temperature, energy flux and angular-momentum flux exactly coincide with those of the Hawking radiation. The black rings considered in this paper contain the Myers-Perry black hole as a limit and the quantum radiation for this black hole, obtained in the literature, is recovered in the limit. The results support the picture that the Hawking radiation can be regarded as the anomaly eliminator on horizons and suggest its general applicability to the higher-dimensional black holes discovered recently.