Condensation of Matter and Trapped Surfaces in Quasi-Polar Gauge

Details Condensation of Matter and Trapped Surfaces in Quasi-Polar Gauge Condensation of Matter and Trapped Surfaces in Quasi-Polar Gauge

1993-04-14

arxiv.org/abs/gr-qc/9304017v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, emTeX Version 3.0 [3a]

Scientific paper

We continue the investigation of formation of trapped surfaces in strongly curved , conformally flat geometries. Initial data in quasi-polar gauges rather then maximal ones are considered. This implies that apparent horizons coincide with minimal surfaces. Necessary and sufficient conditions for the formation of trapped surfaces are given. These results can be generalized to include the case with gravitational radiation. We found that mass of a body inside a fixed volume is bounded from above if geometry of a Cauchy slice is smooth.

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