Non-relativistic limits and three-dimensional coadjoint Poincaré gravity
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Publication:5161036
DOI10.1098/RSPA.2020.0106zbMATH Open1472.83067arXiv2001.11790OpenAlexW3003239532MaRDI QIDQ5161036
Author name not available (Why is that?)
Publication date: 29 October 2021
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/2001.11790
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