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MGAT3 - Theoretical Issues in GR

Speaker

Akhter Siddiqui, Azad

Talk Title

Foliations by Constant Mean Extrinsic Curvature Hypersurfaces

Abstract

In studying the dynamics of a spacetime, constant mean extrinsic curvature (CMC) hypersurfaces have long been considered interesting. Using the variational principle Brill et. al. obtained the differential equation satisfied by the CMC-hypersurfaces, for spherically symmetric and static spacetimes. Here we extend the procedure for arbitrary spacetimes.

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