On singularity-free spacetimes.

Details On singularity-free spacetimes. On singularity-free spacetimes.

Apr 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995prama..44..303d&link_type=abstract

Pramāna, Vol. 44, No. 4, p. 303 - 316

Computer Science

14

Cosmology: Space-Time

Scientific paper

The authors consider here the metric for the singularity-free family of fluid models. The metric is unique for cylindrically symmetric space-time with metric potentials being separable functions of radial and time coordinates in the comoving coordinates. It turns out that fluid models separate out into two classes, with ρ ≠ μp in general but ρ = 3ρ in particular and p = ρ. It is shown that in both the cases radial heat flow can be incorporated without disturbing the singularity-free character of the spacetime. The geodesics of the singularity-free metric are studied and the geodesic completeness is established. Several previously known solutions are derived as particular cases.

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