Ghost-free higher-order theories of gravity with torsion

TL;DR

This paper develops a ghost-free higher-order gravity theory incorporating torsion, deriving linear field equations and presenting new solutions with non-trivial torsion in fermionic contexts, avoiding ghosts and singularities.

Contribution

It introduces a novel infinite derivative gravity framework with torsion, providing explicit linear solutions and demonstrating ghost and singularity freedom.

Findings

Derived linear field equations for the theory

Found new torsion solutions with fermionic sources

Proved solutions are ghost and singularity-free

Abstract

In this manuscript we will present the theoretical framework of the recently proposed infinite derivative theory of gravity with a non-symmetric connection. We will explicitly derive the field equations at the linear level and obtain new solutions with a non-trivial form of the torsion tensor in the presence of a fermionic source, and show that these solutions are both ghost and singularity-free.