Inflation and dark energy from f(R) gravity

The standard Starobinsky inflation has been extended to the $R + αR^n - βR^{2-n}$ model to obtain a stable minimum of the Einstein frame scalar potential of the auxiliary field. As a result we have obtained obtain a scalar potential with non-zero value of residual vacuum energy, which may be a source of Dark Energy. Our results can be easily consistent with PLANCK or BICEP2 data for appropriate choices of the value of $n$.

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