Remarks on the distributional Schwarzschild geometry

@article{Heinzle2002RemarksOT,
  title={Remarks on the distributional Schwarzschild geometry},
  author={J. Mark Heinzle and Roland Steinbauer},
  journal={Journal of Mathematical Physics},
  year={2002},
  volume={43},
  pages={1493-1508}
}
This work is devoted to a mathematical analysis of the distributional Schwarzschild geometry. The Schwarzschild solution is extended to include the singularity; the energy momentum tensor becomes a δ-distribution supported at r=0. Using generalized distributional geometry in the sense of Colombeau’s (special) construction the nonlinearities are treated in a mathematically rigorous way. Moreover, generalized function techniques are used as a tool to give a unified discussion of various… Expand
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