paper

Modified Eddington-inspired-Born-Infeld Gravity with a Trace Term

arXiv:1507.00028 · doi:10.1140/epjc/s10052-016-3879-1

Abstract

In this paper, a modified Eddington-inspired-Born-Infeld (EiBI) theory with a pure trace term being added to the determinantal action is analysed from a cosmological point of view. It corresponds to the most general action constructed from a rank two tensor that contains up to first order terms in curvature. This term can equally be seen as a conformal factor multiplying the metric . This very interesting type of amendment has not been considered within the Palatini formalism despite the large amount of works on the Born-Infeld-inspired theory of gravity. This model can provide smooth bouncing solutions which were not allowed in the EiBI model for the same EiBI coupling. Most interestingly, for a radiation filled universe there are some regions of the parameter space that can naturally lead to a de Sitter inflationary stage without the need of any exotic matter field. Finally, in this model we discover a new type of cosmic "quasi-sudden" singularity, where the cosmic time derivative of the Hubble rate becomes very large but finite at a finite cosmic time.

10 pages, 6 figures, RevTex4-1. References added and discussion extended. Version accepted in EPJC

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