Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-02-10
Int.J.Mod.Phys. D15 (2006) 395-404
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
New version expanded and improved. To appear in Int. J. Mod. Phys. D
Scientific paper
10.1142/S0218271806007936
We give an exact solution of the $5D$ Einstein equations which in 4D can be interpreted as a spherically symmetric dissipative distribution of matter, with heat flux, whose effective density and pressure are nonstatic, nonuniform, and satisfy the equation of state of radiation. The matter satisfies the usual energy and thermodynamic conditions. The energy density and temperature are related by the Stefan-Boltzmann law. 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.
de Leon Ponce J.
Wesson Paul S.
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