Putting Yukawa-like Modified Gravity (MOG) on the test in the Solar System

Abstract

We deal with a Yukawa-like long-range modified model of gravity (MOG) which recently allowed to successfully accommodate many astrophysical and cosmological features without resorting to dark matter. On Solar System scales MOG predicts retrograde secular precessions of the planetary longitudes of the perihelia \varpi whose existence has been put on the test here by taking the ratios of the observationally estimated Pitjeva's corrections to the standard Newtonian/Einsteinian perihelion precessions for different pairs of planets. It turns out that MOG, in the present form which turned out to be phenomenologically successful on astrophysical scales, is ruled out at more than 3sigma level in the Solar System. If and when other teams of astronomers will independently estimate their own extra-precessions of the perihelia it will be possible to repeat such a test.

LaTex2e, 13 pages, 1 table, no figures. To appear in Scholarly Research Exchange (SYREXE). I thank the referees S. Capozziello and H.-S. Zhao

References in corpus (6)

• Scalar-Tensor-Vector Gravity Theory
• Testing modified gravity with globular cluster velocity dispersions
• Solar system constraints on multi-field theories of modified dynamics
• First preliminary tests of the general relativistic gravitomagnetic field of the Sun and new constraints on a Yukawa-like fifth force from planetary data
• Constraints on the range lambda of Yukawa-like modifications to the Newtonian inverse-square law of gravitation from Solar System planetary motions
• Astrophysical Constraints on Scalar Field Models

Cited by in corpus (4)

• Constraining the range of Yukawa gravity interaction from S2 star orbits
• Constraints on Yukawa gravity parameters from observations of bright stars
• The solar system test for the general modified gravity theories
• Relativistic Thermal Emission from Accretion Disks in Kerr-MOG Spacetimes