Non-relativistic limit of gravity theories in the first order formalism
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...
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Online Access: | https://doi.org/10.1007/JHEP03(2021)104 |
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doaj-a0fbfa93afd5456a86982cd07cb150ad2021-03-11T11:21:36ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021312910.1007/JHEP03(2021)104Non-relativistic limit of gravity theories in the first order formalismAmanda Guerrieri0Rodrigo F. Sobreiro1UFF — Universidade Federal Fluminense, Instituto de FísicaUFF — Universidade Federal Fluminense, Instituto de FísicaAbstract 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.https://doi.org/10.1007/JHEP03(2021)104Classical Theories of GravityGauge SymmetrySpace-Time SymmetriesModels of Quantum Gravity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Amanda Guerrieri Rodrigo F. Sobreiro |
spellingShingle |
Amanda Guerrieri Rodrigo F. Sobreiro Non-relativistic limit of gravity theories in the first order formalism Journal of High Energy Physics Classical Theories of Gravity Gauge Symmetry Space-Time Symmetries Models of Quantum Gravity |
author_facet |
Amanda Guerrieri Rodrigo F. Sobreiro |
author_sort |
Amanda Guerrieri |
title |
Non-relativistic limit of gravity theories in the first order formalism |
title_short |
Non-relativistic limit of gravity theories in the first order formalism |
title_full |
Non-relativistic limit of gravity theories in the first order formalism |
title_fullStr |
Non-relativistic limit of gravity theories in the first order formalism |
title_full_unstemmed |
Non-relativistic limit of gravity theories in the first order formalism |
title_sort |
non-relativistic limit of gravity theories in the first order formalism |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2021-03-01 |
description |
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. |
topic |
Classical Theories of Gravity Gauge Symmetry Space-Time Symmetries Models of Quantum Gravity |
url |
https://doi.org/10.1007/JHEP03(2021)104 |
work_keys_str_mv |
AT amandaguerrieri nonrelativisticlimitofgravitytheoriesinthefirstorderformalism AT rodrigofsobreiro nonrelativisticlimitofgravitytheoriesinthefirstorderformalism |
_version_ |
1724225622205530112 |