Cartan-like formulation of electric Carrollian gravity

Author:

Pekar SimonORCID,Pérez AlfredoORCID,Salgado-Rebolledo PatricioORCID

Abstract

Abstract We present a Cartan-like first-order action principle for electric Carrollian gravity. The action is invariant under the local homogeneous Carroll group, albeit in a different representation than the one obtained by gauging the Carroll algebra. Additionally, we show that this first-order action can be derived from a smooth Carrollian limit of the Einstein-Cartan action. The connection with the Hamiltonian and metric forms of the action for electric Carrollian gravity, as well as with previous works in the literature, is also discussed.

Publisher

Springer Science and Business Media LLC

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