Hawking Radiation for Scalar and Dirac Fields in Five Dimensional Dilatonic Black Hole via Anomalies

TL;DR

This paper investigates Hawking radiation for scalar and Dirac fields in a five-dimensional dilatonic black hole, using anomaly cancellation methods to derive the Hawking flux from near-horizon physics.

Contribution

It demonstrates that near the horizon, the physics reduces to a two-dimensional theory and applies anomaly cancellation to compute Hawking radiation for both fields.

Findings

Hawking flux matches the Planck distribution predictions.

The anomaly method successfully derives Hawking radiation in higher-dimensional black holes.

Near-horizon physics simplifies to a two-dimensional effective theory.

Abstract

We study massive scalar fields and Dirac fields propagating in a five dimensional dilatonic black hole background. We expose that for both fields the physics can be describe by a two dimensional theory, near the horizon. Then, in this limit, by applying the covariant anomalies method we find the Hawking flux by restoring the gauge invariance and the general coordinate covariance, which coincides with the flux obtained from integrating the Planck distribution for fermions.