# Doomsdays in a modified theory of gravity: A classical and a quantum approach

## TL;DR

This paper investigates the inevitability of certain cosmological doomsdays within the EiBI gravity model and explores quantum effects that could potentially prevent these catastrophic endings.

## Contribution

It proves the unavoidability of Little Rip and LSBR in classical EiBI cosmology and introduces a quantum analysis suggesting these endings might be avoidable.

## Key findings

- Classical EiBI predicts inevitable Little Rip and LSBR.
- Quantum analysis indicates possible avoidance of these doomsdays.
- Modified Wheeler-DeWitt equation used to demonstrate quantum effects.

## Abstract

By far cosmology is one of the most exciting subject to study, even more so with the current bulk of observations we have at hand. These observations might indicate different kinds of doomsdays, if dark energy follows certain patterns. Two of these doomsdays are the Little Rip (LR) and Little Sibling of the Big Rip (LSBR). In this work, aside from proving the unavoidability of the LR and LSBR in the Eddington-inspired-Born-Infeld (EiBI) scenario, we carry out a quantum analysis of the EiBI theory with a matter field, which, from a classical point of view would inevitably lead to a universe that ends with either LR or LSBR. Based on a modified Wheeler-DeWitt equation, we demonstrate that such fatal endings seems to be avoidable.