The Regular Ricci-Inverse Cosmology with Multiple Anticurvature Scalars

TL;DR

This paper introduces a novel class of modified gravity theories based on the inverse Ricci tensor, incorporating multiple anticurvature scalars to address singularity issues in cosmology.

Contribution

It develops a new Ricci-inverse gravity model with two anticurvature scalars that avoids singularities, expanding the scope of modified gravity theories.

Findings

The model is free from singularity problems.

Inclusion of multiple anticurvature scalars enhances theoretical robustness.

The framework applies to FLRW cosmology.

Abstract

We investigate the modified gravity in which the Lagrangian of gravity is a function of the trace of the n-th matrix power of Ricci tensor in a Friedmann-Lemaitre-Robertson-Walker(FLRW) spacetime. When n is negative, the inverse of Ricci tensor, also called the anticurvature tensor, will be introduced. We design a new class of Ricci-inverse theory containing two anticurvature scalars and resulting to be free from the singularity problem.