1211.4337 (Tehani K. Finch)
Tehani K. Finch
The area of the Schwarzschild event horizon is well-defined and unique. However, the spatial volume contained within the event horizon depends on the time slicing used to define the spacelike hypersurface. Various time slicings were used to compute results for the volume of a Schwarzschild black hole by DiNunno and Matzner in arXiv:0801.1734. The present work considers further volume calculations of this geometry in Painlev\'e-Gullstrand coordinates and in the related Lake-Martel-Poisson and Gautreau-Hoffman families. Also introduced are other time slicings that, to our knowledge, have not been discussed elsewhere.
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http://arxiv.org/abs/1211.4337
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