Inflation from a nonlinear magnetic monopole field nonminimally coupled to curvature

Abstract

In the context of nonminimally coupled $f(R)$ gravity theories, we study early inflation driven by a nonlinear monopole magnetic field which is nonminimally coupled to curvature. In order to isolate the effects of the nonminimal coupling between matter and curvature we assume the pure gravitational sector to have the Einstein-Hilbert form. Thus, we study the most simple model with a nonminimal coupling function which is linear in the Ricci scalar. From an effective fluid description, we show the existence of an early exponential expansion regime of the Universe, followed by a transition to a radiation-dominated era. In particular, by applying the most recent results of the Planck collaboration we set the limits on the parameter of the nonminimal coupling, and the quotient of the nonminimal coupling and the nonlinear monopole magnetic scales. We found that these parameters must take large values in order to satisfy the observational constraints. Furthermore, by obtaining the relation for the graviton mass, we show the consistency of our results with the recent gravitational wave data GW$170817$ of LIGO and Virgo.

15 pages, 4 figures. Accepted for publication in Journal of Cosmology and Astroparticle Physics (JCAP)

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• Modified gravity models for inflation: In conformity with observations
• Weak Deflection Angle and Greybody Bound of Magnetized Regular Black Hole
• Revisiting the dynamics of interacting vector-like dark energy
• Periodic cosmic evolution in $f(Q)$ gravity formalism
• Tunneling Analysis of Regular Black Holes with Cosmic Strings-Like Solution in Newman-Janis Algorithm
• The amplification of cosmological magnetic fields in Extended $f(T,B)$ Teleparallel Gravity
• Cosmology with variable $G$ and nonlinear electrodynamics
• Matter-antimatter asymmetry induced by non-linear electrodynamics
• Emergent Cosmology in Models of Nonlinear Electrodynamics
• New Black Hole Solutions of Second and First Order Formulations of Nonlinear Electrodynamics
• Non-linear Electrodynamics in Blandford-Znajeck Energy Extraction
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• Inflation of the Universe by the Non-minimal $Y(R)F^2$ Models
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