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

N. Deruelle 1 Y. Sendouda 2 A. Youssef 1
1 APC - THEORIE
Institut für theoretische Physik, APC - UMR 7164 - AstroParticule et Cosmologie
Abstract : 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.
Type de document :
Article dans une revue
Physical Review D, American Physical Society, 2009, 80, pp.084032. <10.1103/PHYSREVD.80.084032>


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Soumis le : mercredi 10 octobre 2012 - 18:17:15
Dernière modification le : mardi 11 octobre 2016 - 14:55:48

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N. Deruelle, Y. Sendouda, A. Youssef. Various Hamiltonian formulations of f(R) gravity and their canonical relationships. Physical Review D, American Physical Society, 2009, 80, pp.084032. <10.1103/PHYSREVD.80.084032>. <hal-00740746>

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