Cosmological singularities in Born-Infeld determinantal gravity

TL;DR

This paper investigates the occurrence of cosmological singularities in Born-Infeld determinantal gravity, showing that while some singularities can be avoided, others still appear under certain conditions, even with a perfect fluid universe.

Contribution

It analyzes the conditions under which singularities occur or are avoided in Born-Infeld determinantal gravity, highlighting the theory's limitations and potential for singularity resolution.

Findings

Singularity-free regions with de-Sitter or bounce behavior

Existence of Big Rip, Big Bang, Big Freeze, and Sudden singularities in other regions

Singularities persist even with a constant equation of state fluid

Abstract

The Born-Infeld determinantal gravity has been recently proposed as a way to smooth the Big Bang singularity. This theory is formulated on the Weitzenbock space-time and the teleparallel representation is used instead of the standard Riemannian representation. We find that although this theory is shown to be singularity-free for certain region of the parameter space in which the divergence of the Hubble rate at the high energy regime is substituted by a de-Sitter stage or a bounce in a Friedmann-Lemaitre-Robertson-Walker universe, cosmological singularities such as Big Rip, Big Bang, Big Freeze, and Sudden singularities can emerge in other regions of the configuration space of the theory. We also show that all these singular events exist even though the Universe is filled with a perfect fluid with a constant equation of state.