PT Journal
AU Olmo, GJ
   Sanchis-Alepuz, H
TI Hamiltonian formulation of Palatini f(R) theories a la Brans-Dicke theory
SO Physical Review D
JI Phys. Rev. D
PY 2011
BP 104036
EP 11pp
VL 83
IS 10
DI 10.1103/PhysRevD.83.104036
LA English
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.
ER