# Dynamical cosmologies in Eddington-inspired-Born-Infeld theory

## TL;DR

This paper explores the cosmological evolution in Eddington-inspired Born-Infeld gravity, revealing conditions for avoiding singularities and describing universe behaviors with different dark energy equations of state.

## Contribution

It introduces a novel method linking scale factor evolution to cosmographic parameters in this gravity theory, providing new insights into singularity avoidance and universe dynamics.

## Key findings

- Regular bounce or loitering phase can avoid singularities for $>0$ with $w>0$
- Universes with $-1<w<0$ exhibit unlimited expansion at finite density
- Maximum Hubble parameter at bounce is approximately 4.338e-43 in Planck units

## Abstract

In this paper we study the cosmological evolution of the universe filled with a perfect fluid in the Eddington-inspired Born-Infeld gravity. Applying an alternative method in which the evolution of the scale factor for this theory is linked to the cosmographic parameters, we obtain a dynamical dark energy solution where the singularity (through a regular bounce or a loitering phase) still can be avoided for $\kappa>0$ with $w>0$. For the range $-1<w<0$, the results lead us to universes that experience an unlimited rate of expansion with finite density. Also, we obtain a possible maximum value of $H=4.338\times10^{-43}/t_{\text{Planck}}$ at the cosmic bounce point.