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29 March 2024
 
  » arxiv » gr-qc/0406067

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Semi-analytical approach for the Vaidya metric in double-null coordinates
Fernando Girotto ; Alberto Saa ;
Date 17 Jun 2004
Journal Phys.Rev. D70 (2004) 084014
Subject gr-qc
AbstractWe 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.
Source arXiv, gr-qc/0406067
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