Comments on "The Euclidean gravitational action as black hole entropy, singularities, and spacetime voids" by C. Castro, J. Math. Phys., 49, 042501, 2008

Details Comments on "The Euclidean gravitational action as black hole entropy, singularities, and spacetime voids" by C. Castro, J. Math. Phys., 49, 042501, 2008 Comments on "The Euclidean gravitational action as black hole entropy, singularities, and spacetime voids" by C. Castro, J. Math. Phys., 49, 042501, 2008

2009-04-30

arxiv.org/abs/0904.4754v1

J.Math.Phys.50:042502,2009

Physics

General Physics

Published in J. Math. Phys. General Relativity Section

Scientific paper

10.1063/1.3118910

We point out that the {\em spacetime void} inferred by Castro[J. Math. Phys. 49, 042501, (2008)] results from his choice of a discontinuous radial gauge. Further since the integration constant $\alpha_0 = 2M_0$ ($G=c=1$) occurring in the vacuum Hilbert/Schwarzschild solution of a neutral "point mass" is zero [Arnowitt et al., in Gravitation: An Introduction to Current Research, ed. L. Witten, Wiley, Chap. 7, p.227; also Phys. Rev. Lett., 4, 375, (1960)]; A. Mitra, Adv. Sp. Res., 38, 2917 (2006)] Castro's gauge reduces to the well behaved and physical Hilbert gauge. Physically this means that true Hilbert/Schwarzschild black holes have unique gravitational mass M=0. Accordingly, the unphysical {\em spacetime viod} inferred by Castro is actually non-existent.

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