@Article{Olmo+Sanchis-Alepuz2011,
author="Olmo, G. J.
and Sanchis-Alepuz, H.",
title="Hamiltonian formulation of Palatini f(R) theories a la Brans-Dicke theory",
journal="Physical Review D",
year="2011",
publisher="Amer Physical Soc",
volume="83",
number="10",
pages="104036--11pp",
abstract="We study the Hamiltonian formulation of f(R) theories of gravity both in metric and in Palatini formalism using their classical equivalence with Brans-Dicke theories with a nontrivial potential. The Palatini case, which corresponds to the omega = -3/2 Brans-Dicke theory, requires special attention because of new constraints associated with the scalar field, which is nondynamical. We derive, compare, and discuss the constraints and evolution equations for the omega = -3/2 and omega not equal -3/2 cases. Based on the properties of the constraint and evolution equations, we find that, contrary to certain claims in the literature, the Cauchy problem for the omega = -3/2 case is well formulated and there is no reason to believe that it is not well posed in general.",
optnote="ISI:000290761400007",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=631), last updated on Fri, 03 Jun 2011 15:35:01 +0000",
issn="1550-7998",
doi="10.1103/PhysRevD.83.104036",
opturl="http://arxiv.org/abs/arXiv:1101.3403",
opturl="https://doi.org/10.1103/PhysRevD.83.104036",
archivePrefix="arXiv",
eprint="arXiv:1101.3403",
language="English"
}