%0 Journal Article
%T Hamiltonian formulation of Palatini f(R) theories a la Brans-Dicke theory
%A Olmo, G. J.
%A Sanchis-Alepuz, H.
%J Physical Review D
%D 2011
%V 83
%N 10
%I Amer Physical Soc
%@ 1550-7998
%G English
%F Olmo+Sanchis-Alepuz2011
%O ISI:000290761400007
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=631), last updated on Fri, 03 Jun 2011 15:35:01 +0000
%X 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.
%R 10.1103/PhysRevD.83.104036
%U http://arxiv.org/abs/arXiv:1101.3403
%U https://doi.org/10.1103/PhysRevD.83.104036
%P 104036-11pp