Cartan-like formulation of electric Carrollian gravity
arxiv(2024)
摘要
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.
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