A remarkably simple theory of 3d massive gravity

Abstract : We propose and study a new action for three-dimensional massive gravity. This action takes a very simple form when written in terms of connection and triad variables, but the connection can also be integrated out to obtain a triad formulation. The quadratic action for the perturbations around a Minkowski background reproduces the action of self-dual massive gravity, in agreement with the expectation that the theory propagates a massive graviton. We confirm this result at the non-linear level with a Hamiltonian analysis, and show that this new theory does indeed possess a single massive degree of freedom. The action depends on four coupling constants, and we identify the various massive and topological (or massless) limits in the space of parameters. This richness, along with the simplicity of the action, opens a very interesting new window onto massive gravity.
Type de document :
Pré-publication, Document de travail
2018
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https://hal.archives-ouvertes.fr/hal-01959704
Contributeur : Inspire Hep <>
Soumis le : mardi 18 décembre 2018 - 21:32:07
Dernière modification le : vendredi 18 janvier 2019 - 01:01:33

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Marc Geiller, Karim Noui. A remarkably simple theory of 3d massive gravity. 2018. 〈hal-01959704〉

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