Probabilistic view on singularities and spacetime boundary

Details Probabilistic view on singularities and spacetime boundary Probabilistic view on singularities and spacetime boundary

2010-09-24

arxiv.org/abs/1009.4865v2

Mathematics

Probability

v2, 15 pages. To appear in J. Math. Phys., Feb. 2011

Scientific paper

The aim of this article is to promote the use of probabilistic methods in the study of problems in mathematical general relativity. Two new and simple singularity theorems, whose features are different from the classical singularity theorems, are proved using probabilistic methods. Under some energy conditions, and without any causal or initial/boundary assumption, simple conditions on the energy flow imply probabilistic incompleteness. Also we introduce a probabilistic notion of spacetime boundary which has none of the pathological defects that the classical boundaries may have.

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