Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-12-07
Phys.Rev.D75:023511,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 pages; small changes to match published version (some comments, references added, title corrected); to appear in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.75.023511
We discuss two aspects of f(R) theories of gravity in metric formalism. We first study the reasons to introduce a scalar-tensor representation for these theories and the behavior of this representation in the limit to General Relativity, f(R)--> R. We find that the scalar-tensor representation is well behaved even in this limit. Then we work out the exact equations for spherically symmetric sources using the original f(R) representation, solve the linearized equations, and compare our results with recent calculations of the literature. We observe that the linearized solutions are strongly affected by the cosmic evolution, which makes very unlikely that the cosmic speedup be due to f(R) models with correcting terms relevant at low curvatures.
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