TY  - JOUR
AU  - Olmo, G. J.
AU  - Sanchis-Alepuz, H.
PY  - 2011
DA  - 2011//
TI  - Hamiltonian formulation of Palatini f(R) theories a la Brans-Dicke theory
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 104036
EP  - 11pp
VL  - 83
IS  - 10
PB  - Amer Physical Soc
AB  - 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.
SN  - 1550-7998
UR  - http://arxiv.org/abs/arXiv:1101.3403
UR  - https://doi.org/10.1103/PhysRevD.83.104036
DO  - 10.1103/PhysRevD.83.104036
LA  - English
N1  - ISI:000290761400007
ID  - Olmo+Sanchis-Alepuz2011
ER  -