A Different Approach to $f(R)$-Cosmology

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Here $f(R)$-cosmology is discussed using a different approach. This model explains early-inflation, emergence of cosmic background radiation at the exit from inflation, cosmic deceleration during radiation-dominance followed by deceleration due to curvature-induced matter and acceleration in the very late universe due to curvature-induced phantom dark energy. This model predicts collapse in the future universe. Further, a possible avoidence of collapse as well as revival of very early universe is suggested.
This is an invited article for the anniversary volume on the occasion of 50th birthday of Prof. Sergie D. Odintsov being published by Tomsk State Pedagogical University

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