Distributional Schwarzschild Geometry from nonsmooth regularization via Horizon

Details Distributional Schwarzschild Geometry from nonsmooth regularization via Horizon Distributional Schwarzschild Geometry from nonsmooth regularization via Horizon

2008-06-18

arxiv.org/abs/0806.3026v1

Physics

General Physics

26 pages

Scientific paper

In this paper we leave the neighborhood of the singularity at the origin and turn to the singularity at the horizon. Using nonlinear superdistributional geometry and supergeneralized functions it seems possible to show that the horizon singularity is not only a coordinate singularity without leaving Schwarzschild coordinates. However the Tolman formula for the total energy E of a static and asymptotically flat spacetime, gives E=m, as it should be.

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