Gravitational Anomaly and Hawking Radiation of Brane World Black Holes

TL;DR

This paper investigates Hawking radiation of brane world black holes using anomaly cancellation, demonstrating that the radiation is a kinematic effect and extending the approach to bulk generalized C metrics.

Contribution

It applies the anomaly cancellation method to brane world black holes in the Randall-Sundrum scenario, showing it reproduces Hawking radiation from the bulk perspective.

Findings

Hawking radiation can be derived from anomaly cancellation in brane world black holes.

The approach confirms Hawking radiation is a kinematic effect, independent of dynamical equations.

The method works for both Schwarzschild- and BTZ-like brane black holes.

Abstract

We apply Wilczek and his collaborators' anomaly cancellation approach to the 3-dimensional Schwarzschild- and BTZ-like brane world black holes induced by the generalized C metrics in the Randall-Sundrum scenario. Based on the fact that the horizon of brane world black hole will extend into the bulk spacetime, we do the calculation from the bulk generalized C metrics side and show that this approach also reproduces the correct Hawking radiation for these brane world black holes. Besides, since this approach does not involve the dynamical equation, it also shows that the Hawking radiation is only a kinematic effect.