The spectrum of symmetric teleparallel gravity

Abstract

General Relativity and its higher derivative extensions have symmetric teleparallel reformulations in terms of the non-metricity tensor within a torsion-free and flat geometry. These notes present a derivation of the exact propagator for the most general infinite-derivative, even-parity and generally covariant theory in the symmetric teleparallel spacetime. The action made up of the non-metricity tensor and its contractions is decomposed into terms involving the metric and a gauge vector field and is found to complement the previously known non-local ghost- and singularity-free theories.

5 pages inc. references; 1 figure. This paper was kept 'on hold' by moderators and announced in the arXiv 11 days after submission. It waited 198 days for referee feedback after submission to a journal. We have updated (v2) to the version to be published in EPJC

References in corpus (6)

• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Transverse Fierz-Pauli symmetry
• On the covariance of teleparallel gravity theories
• Generalised Quadratic Curvature, Non-Local Infrared Modifications of Gravity and Newtonian Potentials
• Wald's gravitational entropy for ghost-free, infinite derivative theories of Gravity
• Problems of Massive Gravities

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