ar X iv : g r - qc / 0 40 20 46 v 1 1 0 Fe b 20 04 An exact self - similar solution for an expanding ball of radiation
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چکیده
We give an exact solution of the 5D Einstein equations which in 4D can be interpreted as a spherically symmetric distribution of matter, whose effective density and pressure are nonstatic, nonuniform, and satisfy the equation of state of radiation. The solution admits a homothetic Killing vector in 5D, which induces the existence of self-similar symmetry in 4D, where the line element as well as the dimensionless matter quantities are invariant under a simple " scaling " group.
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