Solar System Constraints on f(G) Dark Energy

Abstract

Corrections to solar system gravity are derived for f(G) gravity theories, in which a function of the Gauss-Bonnet curvature term is added to the gravitational action. Their effects on Newton's law, as felt by the planets, and on the frequency shift of signals from the Cassini spacecraft, are both determined. Despite the fact that the Gauss-Bonnet term is quadratic in curvature, the resulting constraints are substantial. It is shown that they practically rule out f(G) as a natural explanation for the late-time acceleration of the universe. Possible exceptions are when f(G) reduces to something very close to a cosmological constant, or if the form of the function f is exceptionally fine-tuned.

12 pages. v3: Extra refs and discussion

References in corpus (9)

• The Confrontation between General Relativity and Experiment
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• The Cosmology of Modified Gauss-Bonnet Gravity
• Einstein gravity on the codimension 2 brane?
• Solar System Constraints on Gauss-Bonnet Mediated Dark Energy
• Solar and stellar system tests of the cosmological constant
• On the Newtonian limit of Generalized Modified Gravity Models
• Dark energy, MOND and sub-millimeter tests of gravity

Cited by in corpus (9)

• Modified Gravity and Cosmology
• f(T) teleparallel gravity and cosmology
• Cosmological Constraints on $f(G)$ Dark Energy Models
• Superbounce and Loop Quantum Ekpyrotic Cosmologies from Modified Gravity: $F(R)$, $F(G)$ and $F(T)$ Theories
• Liouville-like solutions in dilaton gravity with Gauss-Bonnet modifications
• Cosmology in modified $f(\mathcal{G})$ gravity: a late time cosmic phenomena
• Inflation with F(T) Teleparallel Gravity
• Note on the Gauss-Bonnet braneworld scenario
• Modified Einstein-Gauss-Bonnet gravity: Riemann-Cartan and Pseudo-Riemannian cases