On The Vaidya Limit of the Tolman Model

Details On The Vaidya Limit of the Tolman Model On The Vaidya Limit of the Tolman Model

1999-07-23

arxiv.org/abs/gr-qc/9907074v1

Phys.Rev. D49 (1994) 6484

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 0 figures

Scientific paper

10.1103/PhysRevD.49.6484

We show that the only Tolman models which permit a Vaidya limit are those having a dust distribution that is hollow - such as the self-similar case. Thus the naked shell-focussing singularities found in Tolman models that are dense through the origin have no Vaidya equivalent. This also casts light on the nature of the Vaidya metric. We point out a hidden assumption in Lemos' demonstration that the Vaidya metric is a null limit of the Tolman metric, and in generalising his result, we find that a different transformation of coordinates is required.

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