Primordial Cosmology in Mimetic Born-Infeld Gravity

Abstract

The Eddington-inspired-Born-Infeld (EiBI) model is reformulated within the mimetic approach. In the presence of a mimetic field, the model contains non-trivial vacuum solutions which could be free of spacetime singularity because of the Born-Infeld nature of the theory. We study a realistic primordial vacuum universe and prove the existence of regular solutions, such as primordial inflationary solutions of de Sitter type or bouncing solutions. Besides, the linear instabilities present in the EiBI model are found to be avoidable for some interesting bouncing solutions in which the physical metric as well as the auxiliary metric are regular at the background level.

18 pages, 2 figures and 1 table. References added. Version accepted in JCAP

References in corpus (14)

• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Surface singularities in Eddington-inspired Born-Infeld gravity
• Bouncing Eddington-inspired Born-Infeld cosmologies: an alternative to Inflation ?
• Cosmology with Eddington-inspired Gravity
• Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity
• A tensor instability in the Eddington inspired Born-Infeld Theory of Gravity
• Born-Infeld gravity and its functional extensions
• Cosmological perturbations in mimetic matter model
• New Modified Mimetic Gravity
• Cosmological singularities in Born-Infeld determinantal gravity
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Aspects of Late-time Evolution in Mimetic $F(R)$ Gravity
• Inflationary Tensor Perturbation in Eddington-inspired Born-Infeld gravity

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• Eddington-inspired-Born-Infeld tensorial instabilities neutralized in a quantum approach