RT Journal Article
T1 On-shell equivalence of general relativity and Holst theories with nonmetricity, torsion, and boundaries
A1 Barbero G., J. Fernando
A1 Margalef Bentabol, Juan
A1 Varo, Valle
A1 Sánchez Villaseñor, Eduardo Jesús
AB We study a generalization of the Holst action where we admit nonmetricity and torsion in manifolds with timelike boundaries (both in the metric and tetrad formalism). We prove that its space of solutions is equal to the one of the Palatini action. Therefore, we conclude that the metric sector is in fact identical to general relativity (GR), which is defined by the Einstein-Hilbert action. We further prove that, despite defining the same space of solutions, the Palatini and (the generalized) Holst Lagrangians are not cohomologically equal. Thus, the presymplectic structure and charges provided by the covariant phase space method might differ. However, using the relative bicomplex framework, we show the covariant phase spaces of both theories are equivalent (and in fact equivalent to GR), as well as their charges, clarifying some open problems regarding dual charges and their equivalence in different formulations.
PB American Physical Society (APS)
SN 2470-0010
SN 2470-0029 (online)
YR 2022
FD 2022-03-30
LK https://hdl.handle.net/10016/35949
UL https://hdl.handle.net/10016/35949
LA eng
NO This work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación FIS2017-84440-C2-2-P and PID2020-116567GB-C22 grants. Juan Margalef-Bentabol is supported by the AARMS postdoctoral fellowship, by the NSERC Discovery Grant No. 2018-04873, and the NSERC Grant RGPIN-2018-04887. E.J.S. Villaseñor is supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and inthe context of the V PRICIT (Regional Programme of Research and Technological Innovation).
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