The Tolman-Bondi--Vaidya Spacetime: matching timelike dust to null dust

Details The Tolman-Bondi--Vaidya Spacetime: matching timelike dust to null dust The Tolman-Bondi--Vaidya Spacetime: matching timelike dust to null dust

2005-04-11

arxiv.org/abs/gr-qc/0504045v1

Phys.Rev. D71 (2005) 084022

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figure

Scientific paper

10.1103/PhysRevD.71.084022

The Tolman-Bondi and Vaidya solutions are two solutions to Einstein equations which describe dust particles and null fluid, respectively. We show that it is possible to match the two solutions in one single spacetime, the Tolman-Bondi--Vaidya spacetime. The new spacetime is divided by a null surface with Tolman-Bondi dust on one side and Vaidya fluid on the other side. The differentiability of the spacetime is discussed. By constructing a specific solution, we show that the metric across the null surface can be at least $C^1$ and the stress-energy tensor is continuous.

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