, Volume 24, Issue 7, pp 731-739

Isotropic coordinates and Schwarzschild metric

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Abstract

Written in terms of isotropic coordinatesr, t, the Schwarzschild metric as usually given is static, i.e., admits a timelike Killing vector for all values ofr andt. Therefore the region within the event horizon cannot be accounted for. This deficiency is remedied here, by finding the general spherically symmetric vacuum metric in isotropic coordinates.