Griffiths variational multisymplectic formulation for Lovelock gravity

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 uni...

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Detalles Bibliográficos
Autores: Capriotti, Santiago, Gaset, Jordi, Román Roy, Narciso, Salomone, Leandro Martin
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/135198
Acceso en línea:http://hdl.handle.net/11336/135198
Access Level:acceso abierto
Palabra clave:EINSTEIN EQUATIONS
FIELD THEORY
GRIFFITHS VARIATIONAL PROBLEM
HILBERT–EINSTEIN AND EINSTEIN–PALATINI ACTIONS
JET BUNDLES
LAGRANGIAN AND HAMILTONIAN FORMALISMS
LOVELOCK GRAVITY
MULTISYMPLECTIC MANIFOLDS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario: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.