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Various Hamiltonian formulations of f(R) gravity and their canonical relationships
Deruelle N., Sendouda Y., Youssef A.
Physical Review D 80 (2009) 084032 - http://hal.archives-ouvertes.fr/hal-00740746
Physique/Relativité Générale et Cosmologie Quantique
Physique/Physique des Hautes Energies - Théorie
Various Hamiltonian formulations of f(R) gravity and their canonical relationships
N. Deruelle1, Y. Sendouda2, A. Youssef1
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
http://www.apc.univ-paris7.fr/
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
France
2 :  Yukawa Institute for Theoretical Physics
University of Kyoto
Kyoto University, Kyoto 606-8502
Japon
APC - THEORIE
Various Hamiltonian formulations of f(R) gravity can be found in the literature. Some authors follow the Ostrogradsky treatment of higher derivative theories and introduce as extra variables first order time derivatives of the metric (typically the extrinsic curvature). Some others take advantage of the conformal equivalence of f(R) theory with Einstein's gravity coupled to a scalar field and introduce as an extra variable the scalar curvature R itself, which includes second time derivatives of the metric. We show that, contrarily to some claims, these formulations are related by canonical transformations.
Anglais
26/06/2009

Physical Review D (Phys. Rev. D)
Publisher American Physical Society
ISSN 1550-7998 (eISSN : 1550-2368)
internationale
Articles dans des revues avec comité de lecture
10/2009
80
084032

Modified theories of gravity – Canonical formalism – Lagrangians – and variational principles – Lagrangian and Hamiltonian approach
15 pages, REVTeX 4

Lien vers le texte intégral : 
http://fr.arXiv.org/abs/0906.4983