Improved Solar System bounds on the cosmologically viable \(f(\mathcal{G})\) gravity

Original Article
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Abstract

By making use of the supplementary advances of the perihelia provided by INPOP10a and INPOP15a (France) and EPM2011 (Russia) ephemerides, we obtain improved Solar System bounds on the cosmologically viable \(f(\mathcal{G})\) gravity, where \(f\) is an arbitrary function of the Gauss–Bonnet invariant \(\mathcal{G}\). When we estimate new bounds on its model parameters, we consider the Lense–Thirring effect caused by the Sun’s angular momentum and the uncertainty of the Sun’s quadrupole moment, neither of which were included in related works before. The bounds we obtain in the present work are tighter than the previous ones by at least 5 orders of magnitude.

Keywords

\(f(\mathcal{G})\) gravity Modified gravity Celestial mechanics Ephemeris 

Notes

Acknowledgements

The work of X.-M.D. is funded by the National Natural Science Foundation of China (Grant Nos. 11473072, 11103085 and 11533004). The work of Y.X. is supported by the National Natural Science Foundation of China (Grant No. 11573015).

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Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  1. 1.Purple Mountain ObservatoryChinese Academy of SciencesNanjingChina
  2. 2.School of Astronomy and Space ScienceNanjing UniversityNanjingChina
  3. 3.Key Laboratory of Modern Astronomy and Astrophysics, Nanjing UniversityMinistry of EducationNanjingChina

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