de Sitter space and the equivalence between f(R) and scalar-tensor gravity

By Valerio Faraoni. 2007

137 citations recorded by the source corpus.

It is shown that, when f'' is non-vanishing, metric f(R) gravity is completely equivalent to a scalar-tensor theory (with zero Brans-Dicke parameter) with respect to perturbations of de Sitter space, contrary to previous expectations. Moreover, the stability conditions of de Sitter space with respect to homogeneous and inhomogeneous perturbations coincide in most scalar-tensor theories, as is the case in metric f(R) gravity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/98cdbad446d53818be085b895cafe9d4896385a9

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Citations in the corpus

f(R) Theories Of Gravity (2008, background): “The stability condition f ′′(R) ≥ 0, expressing the fact that the scalar degree of freedom is not a ghost, can be given a simple physical interpretation (Faraoni, 2007b).”
Generalized Curvature-Matter Couplings in Modified Gravity (2014, background): “In a vacuum, we have Lm = 0, and Equation (59) gives φ = R whenever f ′′ 1 6= 0 [51–54].”