Cosmological implications of Born-Infeld-$f(R)$ gravity

Abstract

A modified Born-Infeld gravitation theory with a $f\left(R\right)$ function being added to the determinant action is analyzed from a cosmological viewpoint. The corresponding accelerating dynamics are studied in a simplified conformal approach without matter. Three different structures for the auxiliary metric function are analyzed, with the aim to establish a deeper understanding of the role of this function in cosmology. After performing the analysis, it is seen that, by modifying the auxiliary metric function, a Big Rip singularity or either a Little Rip dark energy model may arise.

7 pages, 3 figures. This version was accepted in IJMPD

References in corpus (7)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Born-Infeld gravity and its functional extensions
• Turbulence and Little Rip Cosmology
• Little Rip, $\Lambda$CDM and singular dark energy cosmology from Born-Infeld-$f(R)$ gravity
• Unification of the inflation with late-time acceleration in Born-Infeld-$f(R)$ gravity

Cited by in corpus (3)

• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• Anisotropic Born-Infeld-f(R) Cosmologies
• Born-Infeld-f(R) black holes