Optical scalars in spherical spacetimes

Details Optical scalars in spherical spacetimes Optical scalars in spherical spacetimes

1994-04-15

arxiv.org/abs/gr-qc/9404031v1

Phys.Rev.D50:6033-6036,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.50.R6033

Consider a spherically symmetric spacelike slice through a spherically symmetric spacetime. One can derive a universal bound for the optical scalars on any such slice. The only requirement is that the matter sources satisfy the dominant energy condition and that the slice be asymptotically flat and regular at the origin. This bound can be used to derive new conditions for the formation of apparent horizons. The bounds hold even when the matter has a distribution on a shell or blows up at the origin so as to give a conical singularity.

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