1/R gravity and scalar-tensor gravity

By T. Chiba. 2003

625 citations recorded by the source corpus.

Abstract We point out that extended gravity theories, the Lagrangian of which is an arbitrary function of scalar curvature R , are equivalent to a class of the scalar-tensor theories of gravity. The corresponding gravity theory is ω =0 Brans–Dicke gravity with a potential for the Brans–Dicke scalar field, which is not compatible with solar system experiments if the field is very light: the case when such modifications become important recently.

Subfields: Astronomy and Astrophysics, Oceanography

View Paper: https://www.semanticscholar.org/paper/cd3d003e27b9f2448e97fc492ca0b4c16a4a0e31

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Citations in the corpus

Cosmology and Fundamental Physics with the Euclid Satellite (2012, background): “While the late-time cosmic acceleration is possible in these models, it has become clear that they do not satisfy local gravity constraints because of the instability associated with negative values of f,RR [308, 431, 1115, 918, 471].”
Cosmological constraints on f(R) gravity theories within the Palatini approach (2005, background): “Moreover, the equations resulting from the metric approach seem to have instability problems in many interesting cases (Dolgov & Kawasaki 2003; Chiba 2003) from which the Palatini approach does not suffer.”
Equivalence Principle Implications of Modified Gravity Models (2009, background): “The first class of theories is equivalent to the classic scalar-tensor theories [7, 8].”
Boundary Terms, Variational Principles and Higher Derivative Modified Gravity (2008, background): “It is well known that this theory is dynamically equivalent to a scalar-tensor theory [25, 26, 27, 28, 30] .”
Stellar structure models in modified theories of gravity: Lessons and challenges (2019, background): “ star. Thus, for any ﬁnite value of the metric function at the center of the star the equation above implies the result (42), and thus the inconsistency with Solar System experiments, as discussed in [107, 109, 115, 116]. This result is furtherreinforcedby the fact that, shouldone desire to impose t”