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

Nathalie Deruelle, Yuuiti Sendouda, and Ahmed Youssef
Phys. Rev. D 80, 084032 – Published 22 October 2009

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.

  • Received 5 July 2009

DOI:https://doi.org/10.1103/PhysRevD.80.084032

©2009 American Physical Society

Authors & Affiliations

Nathalie Deruelle1, Yuuiti Sendouda2, and Ahmed Youssef1

  • 1APC, UMR 7164 du CNRS, Université Paris 7, 75205 Paris, France
  • 2Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 80, Iss. 8 — 15 October 2009

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×