Mathematics – Logic
Scientific paper
Apr 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cqgra..14..945a&link_type=abstract
Classical and Quantum Gravity, Volume 14, Issue 4, pp. 945-953 (1997).
Mathematics
Logic
52
Scientific paper
Einstein's field equations with G and 0264-9381/14/4/011/img2 both varying with time are considered in the context of general homogeneous, isotropic universes in a way which conserves the energy momentum tensor of the matter content. It is found that the solutions of the field equations, which are based on the variation of 0264-9381/14/4/011/img2 as 0264-9381/14/4/011/img4 but with different constants of proportionality, describe significantly different cosmological scenarios. It is also found that the non-static models with constant density having a vacuum-like equation of state are endowed with inflation for a wide class of functions G(t) and 0264-9381/14/4/011/img5 and a static universe with constant density without the vacuum-like equation of state, can exist only for k = 1 with constant G and 0264-9381/14/4/011/img2.
Abdussattar
Vishwakarma Ram Gopal
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