Born-Infeld-$f(R)$ gravity

Abstract

Motivated by the properties of matter quantum fields in curved space-times, we work out a gravity theory that combines the Born-Infeld gravity Lagrangian with an $f(R)$ piece. To avoid ghost-like instabilities, the theory is formulated within the Palatini approach. This construction provides more freedom to address a number of important questions such as the dynamics of the early universe and the cosmic accelerated expansion, among others. In particular, we consider the effect that adding an $f(R)=a{R}^2$ term has on the early-time cosmology. We find that bouncing solutions are robust against these modifications of the Lagrangian whereas the solutions with {\it loitering} behavior of the original Born-Infeld theory are very sensitive to the $R^2$ term. In fact, these solutions are modified in such a way that a plateau in the $H^2$ function may arise yielding a period of (approximately) de Sitter inflationary expansion. This inflationary behavior may be found even in a radiation dominated universe.

33 pages, 11 figures, extended version accepted for publication in Phys.Rev. D

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• Cosmological constraints for an Eddington-Born-Infeld field
• Cosmological scenarios in modified gravity with non-dynamical fields
• The rise of a tensor instability in Eddington-inspired gravity
• Bouncing Cosmologies

Cited by in corpus (39)

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• Geodesic completeness in a wormhole spacetime with horizons
• Pilgrim Dark Energy in $f(T,T_G)$ cosmology
• Global Monopole in Palatini f(R) gravity
• 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
• Modified Eddington-inspired-Born-Infeld Gravity with a Trace Term
• Cosmological singularities in Born-Infeld determinantal gravity
• Towards the Quantization of Eddington-inspired-Born-Infeld Theory
• Strong gravitational lensing in a spacetime with topological charge within the Eddington-inspired Born-Infeld gravity
• Brane worlds in gravity with auxiliary fields
• Classical resolution of black hole singularities in arbitrary dimension
• Stability and (quasi-)localization of gravitational fluctuations in Eddington-Inspired Born-Infeld brane system
• Primordial Cosmology in Mimetic Born-Infeld Gravity
• Cascading dust inflation in Born-Infeld gravity
• Tensor perturbations in a general class of Palatini theories
• Robustness of braneworld scenarios against tensorial perturbations
• Doomsdays in a modified theory of gravity: A classical and a quantum approach
• Analytic Electrically Charged Black Holes in $F(R)$-ModMax Theory
• Generating Rotating Spacetime in Ricci-Based Gravity: Naked Singularity as a Black Hole Mimicker
• Singular Instantons in Eddington-inspired-Born-Infeld Gravity
• An analysis of Born-Infeld determinantal gravity in Weitzenbock spacetime
• Regular Instantons in the Eddington-inspired-Born-Infeld Gravity: Lorentzian Wormholes from Bubble Nucleations
• The virial theorem in Eddington-Born-Infeld gravity
• Singular inflation from Born-Infeld-f(R) gravity
• Anisotropic Born-Infeld-f(R) Cosmologies
• Gravitational lensing in a space-time with cosmic string within the Eddington-inspired Born-Infeld gravity
• A class of simple bouncing and late-time accelerating cosmologies in f(R) gravity
• Cosmology of unimodular Born-Infeld-$f(R)$ gravity
• Cosmological implications of Born-Infeld-$f(R)$ gravity
• Born - Infeld-type modified gravity
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields
• Eddington-inspired-Born-Infeld tensorial instabilities neutralized in a quantum approach
• Born-Infeld-$f(R)$ gravity with de Sitter solutions
• Born-Infeld-f(R) black holes