Some radiation universes which generalize Vaidya

Details Some radiation universes which generalize Vaidya Some radiation universes which generalize Vaidya

Aug 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cqgra..19.3883g&link_type=abstract

Classical and Quantum Gravity, Volume 19, Issue 15, pp. 3883-3899 (2002).

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A generalization of the Vaidya metric is presented, describing a spherically-symmetric radiation spacetime with anisotropic pressure. The constituent radiation moves radially on spherical shells, as in Vaidya, but also propagates tangentially within the shells, which produces an effective tangential pressure. The solution is derived by taking the null limit of an equivalent dust spacetime. The solution contains three arbitrary functions of the shell label, R - the mass M(R), the 'impact parameter' D(R) and the initial distribution of radiation r(0, R), but one of these functions is gauge and represents the freedom of choice for the radial coordinate. The types of solution that exist and possible applications are described, singularity formation is discussed and conditions for matching onto exterior solutions are given. Some examples are presented, including separable solutions.

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