Comparison theory of Lorentzian distance with applications to spacelike hypersurfaces

Details Comparison theory of Lorentzian distance with applications to spacelike hypersurfaces Comparison theory of Lorentzian distance with applications to spacelike hypersurfaces

May 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aipc.1122...91a&link_type=abstract

PHYSICS AND MATHEMATICS OF GRAVITATION: Proceedings of the Spanish Relativity Meeting 2008. AIP Conference Proceedings, Volume

Physics

Physics Of Black Holes, Numerical Approximation And Analysis, Lorentz And Poincare Invariance

Scientific paper

In this paper we summarize some comparison results for the Lorentzian distance function in spacetimes, with applications to the study of the geometric analysis of the Lorentzian distance on spacelike hypersurfaces. In particular, we will consider spacelike hypersufaces whose image under the immersion is bounded in the ambient spacetime and derive sharp estimates for the mean curvature of such hypersurfaces under appropriate hypotheses on the curvature of the ambient spacetime. The results in this paper are part of our recent work [1], where complete details and further related results may be found.

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