Isotropic spherical coordinates
Abstract
The method of using regularization to analyze singularities is applied to the Schwarzschild metric in isotropic spherical coordinates (3). It is found that there arises a singularity at the gravitational radius which does not satisfy the conditions of physical realizability ( T {_{ϕ}/^{ϕ}}= T {_{θ}/^{θ}}, T {_{0}/^{0}}= T {_{θ}/^{θ}}=0). Consequently, this metric cannot be considered as corresponding to pure vacuum.
 Publication:

Soviet Physics Journal
 Pub Date:
 April 1987
 DOI:
 10.1007/BF00914840
 Bibcode:
 1987SvPhJ..30..338G