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Griffiths variational multisymplectic formulation for Lovelock gravity

Author
Capriotti, S.; Gaset, J.; Roman-Roy, N.; Salomone, L.
Type of activity
Report
Date
2019-11-17
Project funding
Geometry of Manifolds and Applications, GEOMVAP
Geometry-physics-control and applications
URL
https://arxiv.org/abs/1911.07278 Open in new window
Abstract
This work is mainly devoted to constructing a multisymplectic description of Lovelock’s gravity, which is an extension of General Relativity. We establish a Griffiths variational prob- lem 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.
Keywords
Einstein equations, Field theory, Griffiths variational problem, Hilbert-Einstein and Einstein-Palatini actions, Lagrangian and Hamiltonian formalisms, Lovelock gravity, jet bundles, multisymplectic manifolds
Group of research
GEOMVAP - Geometry of Manifolds and Applications

Participants

  • Capriotti, Santiago  (author)
  • Gaset Rifa, Jordi  (author)
  • Roman Roy, Narciso  (author)
  • Salomone, Leandro  (author)