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-focusing 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 generalizing his result, we find that a different transformation of coordinates is required.
- Received 25 January 1994
DOI:https://doi.org/10.1103/PhysRevD.49.6484
©1994 American Physical Society