Energy Inequalities for Isolated Systems and Hypersurfaces Moving by Their Curvature

Details Energy Inequalities for Isolated Systems and Hypersurfaces Moving by Their Curvature Energy Inequalities for Isolated Systems and Hypersurfaces Moving by Their Curvature

Sep 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002grg..conf..162h&link_type=abstract

GENERAL RELATIVITY AND GRAVITATION. Proceedings of the 16th International Conference. Held 15-21 July 2001 in Durban, South Afri

Physics

Scientific paper

The total energy of an isolated gravitating system in General Relativity is described by a geometric invariant of asymptotically flat Riemannian 3-manifolds. One-parameter families of two-dimensional hypersurfaces foliating such a manifold and obeying natural curvature conditions can be used to encode and study geometrical and physical properties of the 3-manifold such as mass, quasi-local mass, the center of mass and energy inequalities. The article describes recent results on Penrose inequalities, inverse mean curvature flow, constant mean curvature surfaces and their interconnections.

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