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Anisotropic cosmological solutions to the Y(R)F² gravity

Özcan Sert

Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University, 20017 Denizli, Turkey

E-mail Address: osert@pau.edu.tr

Corresponding author.

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and

Muzaffer Adak

Department of Physics, Faculty of Arts and Sciences, Pamukkale University, 20017 Denizli, Turkey

E-mail Address: madak@pau.edu.tr

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https://doi.org/10.1142/S0217732319502869Cited by:2 (Source: Crossref)

Abstract

We investigate anisotropic cosmological solutions of the theory with non-minimal couplings between electromagnetic fields and gravity in $Y (R) F^{2}$ $Y (R) F^{2}$ form. After we derive the field equations by the variational principle, we look for spatially flat cosmological solutions with magnetic fields or electric fields. Then, we give exact anisotropic solutions by assuming the hyperbolic expansion functions. We observe that the solutions approach the isotropic case in late-times.

Keywords:

PACS: 04.50.Kd, 98.80.Jk

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