Semi-analytical approach for the Vaidya metric in double-null coordinates

Details Semi-analytical approach for the Vaidya metric in double-null coordinates Semi-analytical approach for the Vaidya metric in double-null coordinates

2004-06-17

arxiv.org/abs/gr-qc/0406067v2

Phys.Rev. D70 (2004) 084014

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 6 figures

Scientific paper

10.1103/PhysRevD.70.084014

We reexamine here a problem considered in detail before by Waugh and Lake: the solutions of spherically symmetric Einstein's equations with a radial flow of unpolarized radiation (the Vaidya metric) in double-null coordinates. This problem is known to be not analytically solvable, the only known explicit solutions correspond to the constant mass case (Schwarzschild solution in Kruskal-Szekeres form) and the linear and exponential mass functions originally discovered by Waugh and Lake. We present here a semi-analytical approach that can be used to discuss some qualitative and quantitative aspects of the Vaidya metric in double-null coordinates for generic mass functions. We present also a new analytical solution corresponding to $(1/v)$-mass function.

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