Probing a $r^{-n}$ modification of the Newtonian potential with Exoplanets

Abstract

The growing availability of increasingly accurate data on transiting exoplanets suggests the possibility of using these systems as possible testbeds for modified models of gravity. In particular, we suggest that the post-Keplerian (pK) dynamical effects from the perturbations of the Newtonian potential falling off as the square or the cube of the distance from the mass of the host star break the degeneracy of the anomalistic, draconitic and sidereal periods. The latter are characteristic temporal intervals in the motion of a binary system, and all coincide in the purely Keplerian case. We work out their analytical expressions in presence of the aforementioned perturbations to yield preliminary insights on the potential of the method proposed for constraining the modified models of gravity considered. A comparison with other results existing in the literature is made.

6 pages, references added; revised to match the version accepted for publication in JCAP

References in corpus (8)

• Tests of general relativity from timing the double pulsar
• Modified gravity models of dark energy
• Solar system constraints on f(T) gravity
• 55 Cancri (Copernicus): A Multi-Planet System with a Hot Super-Earth and a Jupiter Analogue
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Detecting the General Relativistic Orbital Precession of the Exoplanet HD 80606b
• Which quantum theory must be reconciled with gravity? (And what does it mean for black holes?)
• Constraining some $r^{-n}$ extra-potentials in modified gravity models with LAGEOS-type laser-ranged geodetic satellites

Cited by in corpus (8)

• Dark energy interactions near the galactic centre
• Testing modified gravity via Yukawa potential in two body problem: Analytical solution and observational constraints
• Novel constraints on fifth forces and ultralight dark sector with asteroidal data
• Analytically Approximation Solution to Higher Derivative Gravity
• Post-Newtonian effects on some characteristic timescales of transiting exoplanets
• Dark Energy as a Critical Period in Binary Motion: Bounds from Multi-scale Binaries
• When the anomalistic, draconitic and sidereal orbital periods do not coincide: the impact of post-Keplerian perturbing accelerations
• Effect of some modified models of gravity on the radial velocity of binary systems