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

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.

• Publication year

  2007

• Venue

  Physical Review D

• Publication date

  2007-03-06

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PhysRevD.75.067302arXiv gr-qc/0703044
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