We construct the spin-projection operators for a theory containing a symmetric two-index tensor and a general three-index tensor. We then use them to analyze, at linearized level, the most general action for a metric affine theory of gravity with terms up to second order in curvature, which depends on 28 parameters. In the metric case, we recover known results. In the torsion-free case, we are able to determine the most general six-parameter class of theories that are projective invariant, contain only one massless spin 2 and no spin 3, and are free of ghosts and tachyons.
New class of ghost- and tachyon-free metric affine gravities / Percacci, R.; Sezgin, E.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 101:8(2020), pp. 1-25. [10.1103/PhysRevD.101.084040]
New class of ghost- and tachyon-free metric affine gravities
Percacci, R.;
2020-01-01
Abstract
We construct the spin-projection operators for a theory containing a symmetric two-index tensor and a general three-index tensor. We then use them to analyze, at linearized level, the most general action for a metric affine theory of gravity with terms up to second order in curvature, which depends on 28 parameters. In the metric case, we recover known results. In the torsion-free case, we are able to determine the most general six-parameter class of theories that are projective invariant, contain only one massless spin 2 and no spin 3, and are free of ghosts and tachyons.File | Dimensione | Formato | |
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