Remarks on cosmological spacetimes and constant mean curvature surfaces

Details Remarks on cosmological spacetimes and constant mean curvature surfaces Remarks on cosmological spacetimes and constant mean curvature surfaces

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cmaph.117..615b&link_type=abstract

Communications in Mathematical Physics, Volume 117, Issue 4, pp.615-624

Mathematics

Mathematical Physics

34

Scientific paper

We give a general condition which ensures the existence of constant mean
curvature (CMC) Cauchy surfaces in cosmological spacetimes. However,
there is an example of a spacetime which does not satisfy this condition
and does not admit any CMC Cauchy surfaces. We discuss conditions under
which CMC surfaces may exist.

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