Hawking Radiation of Black p-Branes from Gravitational Anomaly

TL;DR

This paper calculates Hawking radiation from black p-branes in superstring theories using anomaly cancellation, showing that the radiation's temperature matches the Hawking temperature and is unaffected by metric form.

Contribution

It applies the anomaly cancellation method to black p-branes with non-Schwarzschild metrics, extending previous techniques to more general spherically symmetric solutions.

Findings

Energy-momentum flux matches black body radiation.

Hawking temperature equals the radiation temperature.

Results are consistent for both Schwarzschild and original metrics.

Abstract

We investigate the Hawking radiation of black $p$-branes of superstring theories using the method of anomaly cancelation, specially, we use the method of [S. Iso, H. Umetsu and F. Wilczek, {\sl Phys. Rev. Lett.} {\bf 96}, 151302 (2006); {\sl Phys. Rev. D} {\bf 74}, 044017 (2006)]. The metrics of black $p$-branes are spherically symmetric, but not the Schwarzschild type. In order to simplify the calculation, we first make a coordinate transformation to transform the metric to the Schwarzschild type. Then we calculate its energy-momentum flux from the method of anomaly cancelation of the above mentioned references. The obtained energy-momentum flux is equal to a black body radiation, the thermodynamic temperature of the radiation is equal to its Hawking temperature. And we find that the results are not changed for the original non-Schwarzschild type spherically symmetric metric.