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Griffiths variational multisymplectic formulation for Lovelock gravity
| dc.contributor.author | Capriotti, Santiago |
| dc.contributor.author | Gaset Rifà, Jordi |
| dc.contributor.author | Román Roy, Narciso |
| dc.contributor.author | Salomone, Leandro |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2020-12-22T07:49:35Z |
| dc.date.available | 2021-08-28T00:34:49Z |
| dc.date.issued | 2020-08-24 |
| dc.identifier.citation | Capriotti, S. [et al.]. Griffiths variational multisymplectic formulation for Lovelock gravity. "General relativity and gravitation", 24 Agost 2020, vol. 52, núm. 74, p. 1-45. |
| dc.identifier.issn | 0001-7701 |
| dc.identifier.other | https://arxiv.org/pdf/1911.07278.pdf |
| dc.identifier.uri | http://hdl.handle.net/2117/334744 |
| dc.description | The final publication is available at Springer via http://dx.doi.org/10.1007/s10714-020-02725-8 |
| dc.description.abstract | This work is mainly devoted to constructing a multisymplectic description of Lovelock’s gravity, which is an extension of General Relativity. We establish the Griffiths variational problem for the Lovelock Lagrangian, obtaining the geometric form of the corresponding field equations. We give the unified Lagrangian–Hamiltonian formulation of this model and we study the correspondence between the unified formulations for the Einstein–Hilbert and the Einstein–Palatini models of gravity. |
| dc.description.sponsorship | J. Gaset and N. Román-Roy acknowledge the financial support from the Spanish Ministerio de Economía y Competitividad project MTM2014–54855–P, the Spanish Ministerio de Ciencia, Innovación y Universidades project PGC2018-098265-B-C33, and the Secretary of University and Research of the Ministry of Business and Knowledge of the Catalan Government project 2017–SGR–932. |
| dc.format.extent | 45 p. |
| dc.language.iso | eng |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Optimització |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| dc.subject | Àrees temàtiques de la UPC::Física |
| dc.subject.lcsh | Mathematical optimization |
| dc.subject.lcsh | Field theory (Physics) |
| dc.subject.lcsh | Relativity (Physics) |
| dc.subject.other | Field theory · Lagrangian and Hamiltonian formalisms · Jet bundles · Multisymplectic manifolds · Griffiths variational problem · Lovelock gravity · Hilbert–Einstein and Einstein–Palatini actions · Einstein equations |
| dc.title | Griffiths variational multisymplectic formulation for Lovelock gravity |
| dc.type | Article |
| dc.subject.lemac | Optimització matemàtica |
| dc.subject.lemac | Camps, Teoria dels (Física) |
| dc.subject.lemac | Relativitat (Física) |
| dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
| dc.identifier.doi | 10.1007/s10714-020-02725-8 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::49 Calculus of variations and optimal control; optimization::49S05 Variational principles of physics |
| dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories |
| dc.subject.ams | Classificació AMS::83 Relativity and gravitational theory::83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s10714-020-02725-8 |
| dc.rights.access | Open Access |
| local.identifier.drac | 29870857 |
| dc.description.version | Postprint (author's final draft) |
| dc.relation.projectid | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-098265-B-C33/ES/GEOMETRIA-FISICA-CONTROL Y APLICACIONES/ |
| local.citation.author | Capriotti, S.; Gaset, J.; Roman-Roy, N.; Salomone, L. |
| local.citation.publicationName | General relativity and gravitation |
| local.citation.volume | 52 |
| local.citation.number | 74 |
| local.citation.startingPage | 1 |
| local.citation.endingPage | 45 |
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