Limit to general relativity in f(R) theories of gravity

By G. Olmo. 2006

197 citations recorded by the source corpus.

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){yields}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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/84d1fe2d07a6538f65be12564f35cb8f865d3143

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Citations in the corpus

Born–Infeld inspired modifications of gravity (2017, background): “This typically involves a number of problems such as higher-order field equations, which usually entail the presence of ghost-like instabilities [341, 340, 266, 107], or the difficulty to make these models compatible with solar system tests due to the existence of new degrees of freedom [270, 108]1.”
f(R) Theories Of Gravity (2008, methodology): “19 Isotropic coordinates are usually employed in the study of the weak-field limit of spherically symmetric metrics; however, the difference is irrelevant to first order in Ψ and Φ (Olmo, 2007).”
Boundary Terms, Variational Principles and Higher Derivative Modified Gravity (2008, background): “As the limit is taken, the scalar field decouples from the theory [32].”
Cosmological and Solar System Consequences of f(R,T) Gravity Models (2014, background): “However, in the literature [101, 102], it has been indicated that applying a scalar–tensor representation for f(R) gravity leads to a significant effect in its corresponding PPN parameter.”
Modified Gravity and Cosmology (2011, methodology): “For studies of weak field gravity in the Palatini formalism the reader is referred to [92, 429, 881, 999, 30, 1000, 1163, 1001, 1078, 224, 665, 31, 1077], and for cosmology to [1251, 509, 883, 28, 882, 884, 29, 1162, 1164, 724, 34, 727, 258, 793, 1232, 725, 781, 782, 497].”
A Bird's Eye View of f (R)-Gravity (2009, background): “R R R f / = ) ( 4 μ ! in the metric formalism appeared [94], followed by the generalization to arbitrary forms of the function ) (R f [95, 96].”