Spherically symmetric static inhomogeneous cosmological models
- 19 Downloads
Spherically symmetric static cosmological models filled with black-body radiation are considered. The models are isotropic about a central observer but inhomogeneous. It is suggested that the energy density of the free gravitational field, which is coupled to the isotropic radiation energy density, might play an important role in generating sufficient field (vacuum) energy (when converted into thermal energy) and initiate processes like inflation. On the central world line the energy density of the free gravitational field vanishes whereas the proper pressure and density of the isotropic black-body radiation are constants. Further, it is shown that the cosmological constant is no more arbitrary but given in terms of the central pressure and density. Also, at its maximum value the energy density of the free gravitational field is proved to be equal to one third of the combined value of radiation pressure and density.
KeywordsCosmology energy density of the free gravitational field black-body radiation inflation
Unable to display preview. Download preview PDF.
- Abbot L F and Pi S-Y 1986Inflationary cosmology (Singapore: World Scientific)Google Scholar
- Borner G 1988The early universe — facts and fiction (Berlin: Springer-Verlag)Google Scholar
- Krishna Rao J 1966Curr. Sci. 35 589Google Scholar
- Krishna Rao J and Annapurna M 1985A random walk in relativity and cosmology (ed.) N Dadhich, J Krishna Rao, J V Narlikar and C V Vishveshwara (New Delhi: Wiley Eastern)Google Scholar
- Wilczek F 1983The very early universe (ed.) G W Gibbons, S W Hawking and S T C Siklos (Cambridge: University Press)Google Scholar