Jumping from metric f(R) to scalartensor theories and the relations between post-Newtonian parameters

Monica Capone (1, 2) , Matteo Luca Ruggiero (2, 3)

1 Dipartimento di Matematica "Giuseppe Peano" [Torino]
2 INFN, Sezione di Torino - Istituto Nazionale di Fisica Nucleare, Sezione di Torino
3 Dipartimento di Fisica del Politecnico

We review the dynamical equivalence between f (R) gravity in the metric formalism and scalartensor gravity, and use this equivalence to deduce the post-Newtonian parameters γ and β for a f (R) theory, obtaining a result that is different with respect to that known in the literature. Then, we obtain explicit expressions of these paremeters in terms of the mass of the scalar field (or, differently speaking, the mass of the additional scalar degree of freedom associated to a f (R) theory) which can be used to constrain f (R) gravity by means of current observations.

Mots clés: Physical Sciences

Domaines: Physique [physics]

Monica Capone, Matteo Luca Ruggiero. Jumping from metric f(R) to scalartensor theories and the relations between post-Newtonian parameters. Classical and Quantum Gravity, 2010, 27 (12), pp.125006. ⟨10.1088/0264-9381/27/12/125006⟩. ⟨hal-00601897⟩