Non-relativistic limit of gravity theories in the first order formalism
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Publication:2028300
DOI10.1007/JHEP03(2021)104zbMATH Open1461.83006arXiv2010.14918OpenAlexW3094677548MaRDI QIDQ2028300
Author name not available (Why is that?)
Publication date: 31 May 2021
Published in: (Search for Journal in Brave)
Abstract: We consider the non-relativistic limit of gravity in four dimensions in the first order formalism. First, we revisit the case of the Einstein-Hilbert action and formally discuss some geometrical configurations in vacuum and in the presence of matter at leading order. Second, we consider the more general Mardones-Zanelli action and its non-relativistic limit. The field equations and some interesting geometries, in vacuum and in the presence of matter, are formally obtained. Remarkably, in contrast to the Einstein-Hilbert limit, the set of field equations is fully determined because the boost connection appears in the action and field equations. It is found that the cosmological constant must disappear in the non-relativistic Mardones-Zanelli action at leading order. The conditions for Newtonian absolute time be acceptable are also discussed. It turns out that Newtonian absolute time can be safely implemented with reasonable conditions.
Full work available at URL: https://arxiv.org/abs/2010.14918
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