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

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

2007-03-06

arxiv.org/abs/gr-qc/0703044v2

Phys.Rev.D75:067302,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, revtex, to appear in Phys. Rev. D. Revised version contains additional and updated references

Scientific paper

10.1103/PhysRevD.75.067302

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.

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