HAL : hal-00740746, version 1

arXiv : 0906.4983

Code Bibliographique ADS : 2009PhRvD..80h4032D

DOI : 10.1103/PHYSREVD.80.084032

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Physical Review D 80 (2009) 084032

Various Hamiltonian formulations of f(R) gravity and their canonical relationships

N. Deruelle1, Y. Sendouda2, A. Youssef1

(10/2009)

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.

1 :	APC - AstroParticule et Cosmologie
2 :	Yukawa Institute for Theoretical Physics

équipe(s) de recherche : APC - THEORIE

Domaine

:

Physique/Relativité Générale et Cosmologie Quantique Physique/Physique des Hautes Energies - Théorie

Mots Clés : Modified theories of gravity – Canonical formalism – Lagrangians – and variational principles – Lagrangian and Hamiltonian approach

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Contributeur : Alina Deniau <>

Soumis le : Mercredi 10 Octobre 2012, 18:17:15

Dernière modification le : Mercredi 10 Octobre 2012, 18:17:15