Comment on “Comments on ‘The Euclidean gravitational action as black hole entropy, singularities and space-time voids’” [J. Math. Phys. 50, 042502 (2009)]–Schwarzschild black hole lives to fight another day

Abstract

In a comment published several years ago in this journal, Mitra [J. Math. Phys. 50, 042502 (2009)] 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 M0 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.