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Pramana

, Volume 44, Issue 4, pp 303–316 | Cite as

On singularity-free spacetimes

  • Naresh Dadhich
  • L K Patel
  • R Tikekar
Article

Abstract

We 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, withρµp in general butρ = 3p in particular andp =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.

Keywords

General relativity singularity-free models exact solutions 

PACS Nos

04·20 98·80 

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Copyright information

© the Indian Academy of Sciences 1995

Authors and Affiliations

  • Naresh Dadhich
    • 1
  • L K Patel
    • 1
  • R Tikekar
    • 1
  1. 1.Inter University Centre for Astronomy and AstrophysicsGaneshkhind, PuneIndia

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