Abstract
Using the Navarro-Frenk-White dark matter density profile we reconstruct an effective field theory model for gravity at large distances from a central object by demanding that the vacuum solution has the same gravitational properties as the Navarro-Frenk-White density profile has in the context of General Relativity. The dimensionally reduced reconstructed action for gravity leads to a vacuum metric that includes a modified Rindler acceleration term in addition to the Schwarzschild and cosmological constant terms. The new term is free from infrared curvature singularities and leads to a much better fit of observed galaxy velocity rotation curves than the corresponding simple Rindler term of the Grumiller metric [Phys Rev. Lett. 106, 039901 (2011); Int. J. Mod. Phys. D 20, 2761 (2011)], at the expense of one additional parameter. When the new parameter is set to zero, the new metric term reduces to a Rindler constant acceleration term. We use galactic velocity rotation data to find the best-fit values of the parameters of the reconstructed geometric potential and discuss possible cosmological implications.
- Received 22 March 2019
DOI:https://doi.org/10.1103/PhysRevD.99.124006
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