Schwarzschild Black Hole Lives to Fight Another Day - Comment on the paper J. Math. Phys. 50, 042502 (2009) by A. Mitra

Abstract

In a comment published several years ago in this Journal [J. Math. Phys. 50, 042502 (2009)] Mitra has claimed to prove that a neutral point particle in general relativity as described by the Schwarzschild metric must have zero gravitational mass, i.e. the mass parameter $M_{0}$ of a Schwarzschild black hole necessarily vanishes. It is shown that the purported proof is incorrect. The error stems from a basic misunderstanding of the mathematical description of coordinate volume element in a differentiable manifold.