Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-02-15
Gen.Rel.Grav. 36 (2004) 343-359
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages revtex; to appear in Physical Review D
Scientific paper
10.1023/B:GERG.0000010480.06584.
The paper establishes the result that solutions of the type described in the title of the article are only those that have been already presented in the literature. The procedure adopted in the paper is somewhat novel - while the usual practice is to display an exact solution and then to examine whether it is singularity free, the present paper discovers the conditions which a singularity free solution of the desired type must satistfy. There is no attempt to obtain exact solutions. Simply, the conditions that were ad-hoc introduced in the deduction of singularity free solutions are here shown to follow from the requirement of non-singularity.
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