Slow-roll inflation from massive vector fields non-minimally coupled to gravity

Abstract

In this work we study slow-roll inflation for a vector-tensor model with massive vector fields non-minimally coupled to gravity. The model under consideration has arbitrary parameters for each geometrical coupling. Taking into account a spatially flat FRW type universe and a general vector fields (with temporal and spatial components), we get the general expressions for equation of motion and the total energy momentum tensor. In this scenario, the isotropy of expansion is guaranteed considering a triplet of orthogonal vector fields, but the effective mass of the vector field is of the order of the Hubble scale and the inflationary regime is difficult to realize with this model. However, for suitable values (or constraints) of model parameters, it is possible to overcome this issue. In this sense, two cases were analyzed. In the first case, a regime with slow-roll inflation was obtained, and for the second case the vector field behaves as a constant, and it drives a quasi de Sitter expansion, hence that slow-roll takes place and inflation occurs.

7 pages, 1 figure, accepted for publication in Astrophysics and Space Science

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Cited by in corpus (7)

• Stable solutions of inflation driven by vector fields
• On the Newton-Raphson basins of convergence associated with the libration points in the axisymmetric five-body problem: the concave configuration
• Non-minimally Coupled Vector Boson Dark Matter
• Investigating the basins of convergence in the circular Sitnikov three-body problem with non-spherical primaries
• Inflation driven by massive vector fields with derivative self-interactions
• Reheating and Leptogenesis after Vector inflation
• On the coupling of vector fields to the Gauss-Bonnet invariant