Bi-metric theory of gravity from the non-chiral Plebanski action

Simone Speziale (1, 2)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332

We study a modification of the Plebanski action for general relativity, which leads to a modified theory of gravity with eight degrees of freedom. We show how the action can be recasted as a bi-metric theory of gravity, and expanding around a bi-flat background we identify the six extra degrees of freedom with a second, massive graviton and a scalar mode.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

Simone Speziale. Bi-metric theory of gravity from the non-chiral Plebanski action. Physical Review D, 2010, 82, pp.064003. ⟨hal-00470555⟩