Abstract
The introduction of time dependence through a scale factor in a non-conformally flat static cosmological model whose spacetime can be embedded in a five demensional flat spacetime is shown to give rise to two spherical models of universe filled with perfect fluid acompannied with radial heat flux without any Big Bang type singularity. The first model describes an ever existing universe which witnesses a transition from state of contraction to that of ever expansion. The second model represents a universe oscillating between two regular states.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J M M Senovilla, Phys. Rev. Lett. 64, 2219 (1990)
N K Dadhich, J. Astron. Astrophys. 18, 343 (1990)
N K Dadhich, L K Patel and R Tikekar, Math. Today XVII, 17 (1999)
N K Dadhich and A K Raychaudhuri, Mod. Phys. Lett. A14, 2135 (1999)
F Hoyle, G Burbidge and J V Narlikar, Not. R. Astron. Soc. 267, 1007 (1994)
R S Tikekar, Curr. Sci. 39, 460 (1970)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tikekar, R. On spherically symmetric singularity-free models in relativistic cosmology. Pramana - J Phys 55, 623–628 (2000). https://doi.org/10.1007/s12043-000-0174-2
Issue Date:
DOI: https://doi.org/10.1007/s12043-000-0174-2