On the coupling of vector fields to the Gauss-Bonnet invariant
Abstract
Inflationary models including vector fields have attracted a great deal of attention over the past decade. Such an interest owes to the fact that they might contribute to, or even be fully responsible for, the curvature perturbation imprinted in the cosmic microwave background. However, the necessary breaking of the vector field's conformal invariance during inflation is not without problems. In recent years, it has been realized that a number of instabilities endangering the consistency of the theory arise when the conformal invariance is broken by means of a non-minimal coupling to gravity. In this paper, we consider a massive vector field non-minimally coupled to gravity through the Gauss-Bonnet invariant, and investigate whether the vector can play the role of a curvaton while evading the emergence of instabilities and preserves the large-scale isotropy.
Keywords
Cite
@article{arxiv.1504.07983,
title = {On the coupling of vector fields to the Gauss-Bonnet invariant},
author = {Juan C. Bueno-Sánchez and J. Bayron Orjuela-Quintana and César A. Valenzuela-Toledo},
journal= {arXiv preprint arXiv:1504.07983},
year = {2023}
}
Comments
Typos corrected, some clarifying comments added. Matches the published version