Dynamics of the Laplace-Runge-Lenz vector in the quantum-corrected Newton gravity
arXiv:1101.5611 · doi:10.1103/PhysRevD.83.124037
Abstract
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 $\alν$ of the theory grows with the mass of the galaxy. In order to better investigate the mass-dependence of $\alν$ one needs to check the upper bound for $\alν$ 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 $\alν$.
arXiv commentA few misprints corrected in the new version. 12 pages
References in corpus (13)
- Effective Action of Vacuum: Semiclassical Approach
- Running G and Λat low energies from physics at M_X: possible cosmological and astrophysical implications
- Renormalization Group and Decoupling in Curved Space
- Higher Derivative Quantum Gravity with Gauss-Bonnet Term
- Renormalization-group running cosmologies - a scale-setting procedure
- The Dark Matter Problem in Light of Quantum Gravity
- Renormalization Group and Decoupling in Curved Space: II. The Standard Model and Beyond
- On the gravitational waves on the background of anomaly-induced inflation
- Galaxy rotation curves from General Relativity with Renormalization Group corrections
- Renormalization group scale-setting in astrophysical systems
- Black Holes in Higher Dimensional Gravity Theory with Quadratic in Curvature Corrections
- Asymptotic Regimes in Quantum Gravity at Large Distances and Running Newtonian and Cosmological Constants
- On the Possibility of Quantum Gravity Effects at Astrophysical Scales
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