Symmetries of first-order Lovelock gravity

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dc.contributor.author Montesinos, Merced
dc.contributor.author Romero, Rodrigo
dc.contributor.author Díaz Jiménez, Bogar
dc.date.accessioned 2021-05-27T08:06:41Z
dc.date.available 2021-05-27T08:06:41Z
dc.date.issued 2018-12-06
dc.identifier.bibliographicCitation Montesinos, M., Romero, R. & Díaz, B. (2018). Symmetries of first-order Lovelock gravity. Classical and Quantum Gravity, 35(23), 235015.
dc.identifier.issn 0264-9381
dc.identifier.uri http://hdl.handle.net/10016/32767
dc.description.abstract We apply the converse of Noether’s second theorem to the first-order n-dimensional Lovelock action, considering the frame rotation group as both SO (1, n − 1) or as SO(n). As a result, we get the well-known invariance under local Lorentz transformations or SO(n) transformations and diffeomorphisms, for odd- and even-dimensional manifolds. We also obtain the so-called ‘local translations’ with nonvanishing constant Λ for odd-dimensional manifolds when a certain relation among the coefficients of the various terms of the first-order Lovelock Lagrangian is satisfied. When this relation is fulfilled, we report the existence of a new gauge symmetry emerging from a Noether identity. In this case the fundamental set of gauge symmetries of the Lovelock action is composed by the new symmetry, local translations with Λ ≠ 0 and local Lorentz transformations or SO(n) transformations. The commutator algebra of this set closes with structure functions. We also get the invariance under local translations with Λ = 0 of the highest term of the Lovelock action in odd-dimensional manifolds. Furthermore, we report a new gauge symmetry for the highest term of the first-order Lovelock action for odd-dimensional manifolds. In this last case, the fundamental set of gauge symmetries can be considered as Poincaré or Euclidean transformations together with the new symmetry. The commutator algebra of this set also closes with structure functions.
dc.format.extent 21
dc.language.iso eng
dc.publisher IOP Publishing
dc.rights © 2018 IOP Publishing Ltd.
dc.subject.other Lovelock gravity
dc.subject.other Noether's second theorem
dc.subject.other Local translations
dc.subject.other Gauge symmetries
dc.title Symmetries of first-order Lovelock gravity
dc.type article
dc.subject.eciencia Matemáticas
dc.identifier.doi https://doi.org/10.1088/1361-6382/aaea21
dc.rights.accessRights openAccess
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 235015
dc.identifier.publicationissue 23
dc.identifier.publicationtitle Classical and Quantum Gravity
dc.identifier.publicationvolume 35
dc.identifier.uxxi AR/0000027799
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