Mathematics – Logic
Scientific paper
Aug 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010gregr..42.1897m&link_type=abstract
General Relativity and Gravitation, Volume 42, Issue 8, pp.1897-1907
Mathematics
Logic
1
Modified Theory Of Gravity, Cosmological Solution, Late Time Acceleration
Scientific paper
We formulate a modified theory of gravity to an equivalent second order gravity theory for a Lagrangian containing R and {1/R} terms by introducing an auxiliary variable in a spatially homogeneous and isotropic background. We present a few analytical solutions of evolution equation for the deceleration parameter q as a function of the scale factor; specially in one solution, the universe evolves continuously from q = 1 (i.e. like a radiation dominated era) to {q= -1/2} dark energy dominated late time accelerating phase when the universe is sufficiently old. The solution is supported by numerical results.
Bose R. N.
Ghosh Sadhana
Modak Bijan
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