Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit

Abstract

Kinematics in Finsler space is investigated. It is showed that the result based on the kinematics with a special Finsler structure is in good agreement with the reported value of secular trend in the astronomical unit, $d\mathrm{AU}/dt=15\pm 4[m/century]$. The space deformation parameter $\lambda$ in this special structure is very small with scale of $10^{-6}$ and should be a constant. This fact is consistent with the reported value of an anomalous secular eccentricity variation of the Moon's orbit.

10 pages, 2 tables

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• Planck-scale modified dispersion relations and Finsler geometry
• Lorentz Violation: Motivation and new constraints
• Modified Newton's gravity in Finsler Space as a possible alternative to dark matter hypothesis
• Modified Friedmann model in Randers-Finsler space of approximate Berwald type as a possible alternative to dark energy hypothesis
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Cited by in corpus (3)

• Gravitational Anomalies in the Solar System?
• Black Hole Solutions with Constant Ricci Scalar in a Model of Finsler Gravity
• Anomalous Post-Newtonian terms and the secular increase of the Astronomical Unit