The early inflation and the late-time speed-up of the Universe via the Maxwell-$Y(R)$ gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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11 pages, 3 figures

Scientific paper

In this paper, we investigate the inflation and the late-time acceleration of the universe by using the modified gravity approach which involves the non-minimal $Y(R) F^2$-type couplings of electromagnetic fields to gravity. After we derive field equations by a first order variational principle from the Lagrangian of the non-minimally coupled theory, we look for spatially flat cosmological solutions with the large-scale magnetic fields. At the end we estimate certain values according to observations for three parameters occurring in the solutions.

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