Source Term in Einstein’s Field Equations

A basic problem that confronts the standard cosmological models is the problem of Initial Singularity characterised by infinite material density, infinite temperature and infinite spacetime curvature. The inevitable existence of such a phase of the universe may be considered to be one of the major drawbacks of Einstein’s field equations. To some extent inflation models ameliorate this. In the present work we postulate that whenever matter (radiation) arises in flat spacetime, it introduces curvature and causes a repulsive interaction to develop. A modified energy momentum tensor is introduced towards this end, which invokes the temperature and entropy. This redefinition of the energy momentum distribution when applied to the early universe dynamics has the effect of producing a non-singular initial behaviour. The repulsive interaction introduces some features of an accelerating universe consistent with present observations of high redshift supernovae, etc.