The upperbound of the volume expansion rate in a Lorentzian manifold

Details The upperbound of the volume expansion rate in a Lorentzian manifold The upperbound of the volume expansion rate in a Lorentzian manifold

Feb 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010gregr..42..403k&link_type=abstract

General Relativity and Gravitation, Volume 42, Issue 2, pp.403-412

Physics

1

Achronal Spacelike Hypersurface, Jacobi Tensor, Volume Expansion, Raychaudhuri Equation, Mean Curvature, Robertson–Walker Space–Time

Scientific paper

Using the differential equation obtained from spacelike level
hypersurfaces in a Lorentzian manifold, the volume expansion rate of an
achronal spacelike hypersurface orthogonal to a timelike geodesic is
investigated in terms of the integral Ricci and scalar curvature bound.

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