His solution contained no coordinate singularity; it had only the singularity at the origin. That was neither a mistake nor an oversight on Schwarzschild’s part. By choosing a nontrivial scaling factor for the angular part of the metric, he had carefully avoided producing the coordinate singularity. As a side effect, such a choice results in a nonzero surface area for a sphere of zero radius. However, that result should not be a problem since one is not dealing with flat space anyway.
Skip Nav Destination
Tarun Biswas; More on black holes and quantum information. Physics Today 1 November 2013; 66 (11): 10. https://doi.org/10.1063/PT.3.2162
Download citation file: