Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-04-02
JCAP 0710:004,2007
Astronomy and Astrophysics
Astrophysics
13 pages
Scientific paper
10.1088/1475-7516/2007/10/004
Although the Gauss-Bonnet term is a topological invariant for general relativity, it couples naturally to a quintessence scalar field, modifying gravity at solar system scales. We determine the solar system constraints due to this term by evaluating the post-Newtonian metric for a distributional source. We find a mass dependent, 1/r^7 correction to the Newtonian potential, and also deviations from the Einstein gravity prediction for light-bending. We constrain the parameters of the theory using planetary orbits, the Cassini spacecraft data, and a laboratory test of Newton's law, always finding extremely tight bounds on the energy associated to the Gauss-Bonnet term. We discuss the relevance of these constraints to late-time cosmological acceleration.
Amendola Luca
Charmousis Christos
Davis Stephen C.
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