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

@article{Guerrieri2021CarrollLO,
  title={Carroll limit of four-dimensional gravity theories in the first order formalism},
  author={Amanda Guerrieri and Rodrigo F. Sobreiro},
  journal={Classical and Quantum Gravity},
  year={2021},
  volume={38}
}
We explore the ultra-relativistic (UR) limit of a class of four dimensional gravity theories, known as Lovelock–Cartan (LC) gravities, in the first order formalism. First, we review the well known limit of the Einstein–Hilbert (EH) 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… Expand

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