Regular Article – Theoretical Physics
Ghost-free higher-order theories of gravity with torsion
Cosmology and Gravity Group, Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, Cape Town, South Africa
2 Van Swinderen Institute, University of Groningen, 9747 AG, Groningen, The Netherlands
Accepted: 4 March 2021
Published online: 17 March 2021
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.
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