Research Publications
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Item Quasi-steady state cosmology: A study of angular size against redshift(Wiley-Blackwell, 1999-02-25) Banerjee, Shyamal K.; Narlikar, J. V.The data on angular sizes and redshifts of ultracompact radio sources used by Jackson & Dodgson in a recent paper have been applied to the various theoretical models in the framework of the quasi-steady-state cosmology proposed by Hoyle, Burbidge & Narlikar. It is found that although acceptable fits to the data are available for the flat models, those with a negative curvature of spatial sections provide a better fit. These latter models require low densities of matter and as such do not demand too high a proportion of dark matter. A comparison is made with the work of Jackson & Dodgson and theoretical implications of the test are discussed.Item Quasi-steady state cosmology: A problem of stability(American Astronomical Society, 1997-09-20) Banerjee, Shyamal K.; Narlikar, J. V.This paper examines the gravitational stability against small perturbations of the -. This model was first introduced by Hoyle et al., who in subsequent papers looked at its various theoretical and observational implications. Here we carry out a perturbation analysis of the exact solution of the field equations obtained by Sachs et al. in the noncreative mode which describes the oscillatory feature of this model. We show that the perturbations grow only to a limited amount and then fall o†, thus confirming the stability of the solution. We discuss the implications of this result for structure formation in this cosmology