Non-minimal coupling inspires the Dirac cosmological model
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, P.O. Box 55136-553, Maragheh, Iran
2 Physics Department, Faculty of Sciences, University of Sistan and Baluchestan, Zahedan, Iran
3 Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, 281406, Mathura, Uttar Pradesh, India
Accepted: 30 June 2021
Published online: 8 July 2021
In the framework of the generalized Rastall theory (GRT), we study the ability of a non-minimal coupling between geometry and matter fields in order to provide a setting, which allows for a variable G during the cosmic evolution. In this regard, the compatibility of this theory with Dirac hypothesis on the variations of G is investigated, and additionally, the possibility of obtaining the current accelerated universe is also addressed. In summary, our study indicates that, in GRT, having in hand the G profile, one may find the corresponding non-minimal coupling between the energy source and geometry and vice versa, in a compatible way with the current accelerated universe.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021