Can the anomaly cancellation method derive a correct Hawking temperature of a Schwarzschild black hole in the isotropic coordinates ?

TL;DR

This paper discusses the limitations of the anomaly cancellation method in deriving the Hawking temperature for Schwarzschild black holes in isotropic coordinates, highlighting issues with the Robinson-Wilczek approach.

Contribution

It clarifies the applicability constraints of the anomaly cancellation method for black hole thermodynamics in specific coordinate systems.

Findings

The Robinson-Wilczek method may not be valid when the metric determinant vanishes at the horizon.

The paper was withdrawn due to an incorrect statement on the method's viability.

Replaced by a subsequent paper addressing these issues.

Abstract

This paper has been withdrawn by the authors due to an incorrect statement on the viability of the Robinson-Wilczek method when applied to the case when the metric determinant vanishes at the horizon. This paper has been replaced by arXiv:0803.1338 [hep-th].