Dynamics of the Laplace-Runge-Lenz vector in the quantum-corrected Newton gravity

Details Dynamics of the Laplace-Runge-Lenz vector in the quantum-corrected Newton gravity Dynamics of the Laplace-Runge-Lenz vector in the quantum-corrected Newton gravity

2011-01-28

arxiv.org/abs/1101.5611v2

Phys.Rev.D83:124037,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

A few misprints corrected in the new version. 12 pages

Scientific paper

10.1103/PhysRevD.83.124037

Recently it was shown that quantum corrections to the Newton potential can explain the rotation curves in spiral galaxies without introducing the Dark Matter halo. The unique phenomenological parameter $\al\nu$ of the theory grows with the mass of the galaxy. In order to better investigate the mass-dependence of $\al\nu$ one needs to check the upper bound for $\al\nu$ at a smaller scale. Here we perform the corresponding calculation by analyzing the dynamics of the Laplace-Runge-Lenz vector. The resulting limitation on quantum corrections is quite severe, suggesting a strong mass-dependence of $\al\nu$.

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