53 v 1 9 O ct 1 99 7 Cosmological spacetimes not covered by a constant mean curvature slicing
نویسنده
چکیده
We show that there exist maximal globally hyperbolic solutions of the Einstein-dust equations which admit a constant mean curvature Cauchy surface, but are not covered by a constant mean curvature foliation.
منابع مشابه
ar X iv : g r - qc / 9 50 30 29 v 1 1 6 M ar 1 99 5 Trapped surfaces in cosmological spacetimes
We investigate the formation of trapped surfaces in cosmological spacetimes, using constant mean curvature slicing. Quantitative criteria for the formation of trapped surfaces demonstrate that cosmological regions enclosed by trapped surfaces may have matter density exceeding significantly the background matter density of the flat and homogeneous cosmological model. 04.20.Me, 95.30.Sf, 97.60.Lf...
متن کاملCosmological spacetimes not covered by a constant mean curvature slicing
We show that there exist maximal globally hyperbolic solutions of the Einstein-dust equations which admit a constant mean curvature Cauchy surface, but are not covered by a constant mean curvature foliation.
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We investigate the formation of trapped surfaces in cosmological spacetimes, using constant mean curvature slicing. Quantitative criteria for the formation of trapped surfaces demonstrate that cosmological regions enclosed by trapped surfaces may have matter density exceeding significantly the background matter density of the flat and homogeneous cosmological model. 04.20.Me, 95.30.Sf, 97.60.Lf...
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