Collapsing Layers on Schwarzschild-Lemaitre Geodesics

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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To appear in Phys. Rev. D 15

Scientific paper

10.1103/PhysRevD.76.104006

We discuss Israel layers collapsing inward from rest at infinity along
Schwarzschild-Lemaitre geodesics. The dynamics of the collapsing layer and its
equation of state are developed. There is a general equation of state which is
approximately polytropic in the limit of very low pressure. The equation of
state establishes a new limit on the stress-density ratio.

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