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Cartan-like formulation of electric Carrollian gravity

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arxiv 2406.01665 v1 pith:RA6ILAJU submitted 2024-06-03 hep-th gr-qc

Simon Pekar , Alfredo Pérez , Patricio Salgado-Rebolledo This is my paper · ORCID
classification hep-thgr-qc
keywords actioncarrollianelectricgravitycarrollcartan-likefirst-orderadditionally
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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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  1. 3D Carrollian gravity from 2D Euclidean symmetry

    hep-th 2024-12 conditional novelty 4.0 of 10

    Post-Carroll-Newtonian Chern-Simons gravities are systematically obtained by semigroup-expanding 2D Euclidean B_k algebras, recovering known Carrollian models as subcases.

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