Hamiltonian formulation of Palatini f(R) theories a la Brans-Dicke theory
- Departamento de Fisica Teorica and IFIC, Centro Mixto Universidad de Valencia - CSIC, Facultad de Fisica, Universidad de Valencia, Burjassot-46100, Valencia (Spain) and Instituto de Estructura de la Materia, CSIC, Serrano 121, 28006 Madrid (Spain)
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}{ne}-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.
- OSTI ID:
- 21502607
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 10; Other Information: DOI: 10.1103/PhysRevD.83.104036; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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