On the ``averaged weak energy condition'' and Penrose's singularity theorem

Details On the ``averaged weak energy condition'' and Penrose's singularity theorem On the ``averaged weak energy condition'' and Penrose's singularity theorem

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..37..546r&link_type=abstract

Physical Review D (Particles and Fields), Volume 37, Issue 2, 15 January 1988, pp.546-548

Physics

50

Fundamental Problems And General Formalism

Scientific paper

In a previous paper, we used techniques developed by Tipler to prove that Penrose's singularity theorem will still hold if the weak energy condition is replaced by a weaker nonlocal energy condition and if the null generic condition is satisfied. The purpose of the present paper is to strengthen our original result somewhat by slightly weakening the nonlocal energy condition and by showing that the null generic condition is unnecessary. We also comment briefly on whether recent criticisms of Tipler's techniques affect the validity of our results. In addition, we take the opportunity to rewrite some of our previous analysis in what we feel is a more direct mathematical language and, in so doing, we provide the details of a proof which were not included in our earlier paper.

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