Born-Infeld gravity and its functional extensions
arXiv:1406.1205 · doi:10.1103/PhysRevD.90.044003
Abstract
We investigate the dynamics of a family of functional extensions of the (Eddington-inspired) Born-Infeld gravity theory, constructed with the inverse of the metric and the Ricci tensor. We provide a generic formal solution for the connection and an Einstein-like representation for the metric field equations of this family of theories. For particular cases we consider applications to the early-time cosmology and find that non-singular universes with a cosmic bounce are very generic and robust solutions.
8 pages, revtex4-1 style. Some corrections introduced in abstract, introduction and list of references. Final version to appear in Phys. Rev. D
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Cited by in corpus (18)
- Cosmological perturbations in massive gravity with doubly coupled matter
- Unveiling the Dynamics of the Universe
- Crystal clear lessons on the microstructure of space-time and modified gravity
- Eddington-Born-Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures
- Infrared lessons for ultraviolet gravity: the case of massive gravity and Born-Infeld
- Cosmological singularities in Born-Infeld determinantal gravity
- Bianchi type I cosmological models in Eddington-inspired Born-Infeld gravity
- Towards the Quantization of Eddington-inspired-Born-Infeld Theory
- Primordial Cosmology in Mimetic Born-Infeld Gravity
- Stability and (quasi-)localization of gravitational fluctuations in Eddington-Inspired Born-Infeld brane system
- Black hole solutions in functional extensions of Born-Infeld gravity
- Geodesically complete BTZ-type solutions of Born-Infeld gravity
- An analysis of Born-Infeld determinantal gravity in Weitzenbock spacetime
- Singular Instantons in Eddington-inspired-Born-Infeld Gravity
- Nonsingular black holes in Palatini extensions of General Relativity
- Scalar perturbations of Eddington-inspired Born-Infeld braneworld
- Noether Symmetry Approach for Dirac-Born-Infeld Cosmology
- Born-Infeld gravity with a Brans-Dicke scalar