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arXiv · 2001.11790

Non-relativistic limits and three-dimensional coadjoint Poincare gravity

Eric Bergshoeff·Joaquim Gomis·Patricio Salgado-Rebolledo
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Abstract

We show that a recently proposed action for three-dimensional non-relativistic gravity can be obtained by taking the limit of a relativistic Lagrangian that involves the co-adjoint Poincare algebra. We point out the similarity of our construction with the way that three-dimensional Galilei Gravity and Extended Bargmann Gravity can be obtained by taking the limit of a relativistic Lagrangian that involves the Poincare algebra. We extend our results to the AdS case and we will see that there is a chiral decomposition both at the relativistic and non-relativistic level. We comment on possible further generalizations.

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Eric Bergshoeff, Joaquim Gomis, Patricio Salgado-Rebolledo. 2020-01-31. Non-relativistic limits and three-dimensional coadjoint Poincare gravity. https://doi.org/10.1098/rspa.2020.0106

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