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.
Highlights
The theory of General Relativity (GR), one of the most celebrated theories in physics, has passed all the experimental tests so far [1], including large-scale structure formation [2], and recent detection of gravitational waves from binary compact objects [3]
This can be addressed by incorporating the gauge structure of the Poincaré group, provided a torsion field is added, for a review see [5,6], as was first shown by Sciama and Kibble in [7,8], respectively
In the torsion-free limit such theories have been explored widely, and are known as infinite derivative theories of gravity (IDG), which can be made devoid of ghosts and singularities
Summary
The theory of General Relativity (GR), one of the most celebrated theories in physics, has passed all the experimental tests so far [1], including large-scale structure formation [2], and recent detection of gravitational waves from binary compact objects [3]. At a classical level, the introduction of fermionic matter in the energy–momentum tensor requires a new formalism to be developed in order to take into account of how internal spin degrees of freedom affect the geometry [4] This can be addressed by incorporating the gauge structure of the Poincaré group, provided a torsion field is added, for a review see [5,6], as was first shown by Sciama and Kibble in [7,8], respectively. We show explicitly how to obtain the local limit of the theory with respect to metric, torsion and its couplings, and prove that it is a Poincaré Gauge theory of gravity This non-trivial proof was lacking in our previous paper.we rewrite and calculate the field equations with respect to the torsion Lorentz invariants, which clarifies some of the physical aspects, such as the stability conditions for the two vector modes of the torsion in order to provide new healthy solutions that are singularity free. In Appendix D we calculate the local limit of the theory and show that we can recover a local Poincaré gauge gravity
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
