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On The Vaidya Limit of the Tolman Model

Charles Hellaby
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Abstract

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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Charles Hellaby. 1999-07-23. On The Vaidya Limit of the Tolman Model. https://doi.org/10.1103/physrevd.49.6484

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