# Carroll limit of four-dimensional gravity theories in the first order formalism

@inproceedings{Guerrieri2021CarrollLO, title={Carroll limit of four-dimensional gravity theories in the first order formalism}, author={Amanda Guerrieri and Rodrigo F. Sobreiro}, year={2021} }

We explore the ultra-relativistic limit of a class of four dimensional gravity theories, known as Lovelock-Cartan gravities, in the first order formalism. First, we review the well known limit of the Einstein-Hilbert action. A very useful scale symmetry involving the vierbeins and the boost connection is presented. Moreover, we explore the field equations in order to find formal solutions. Some remarkable results are obtained: Riemann and Weitzenböck like manifolds are discussed; Birkhoff’s… Expand

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