Reconstructing a model for gravity at large distances from dark matter density profiles

L. Perivolaropoulos and F. Skara
Phys. Rev. D 99, 124006 – Published 10 June 2019
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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.

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  • Received 22 March 2019

DOI:https://doi.org/10.1103/PhysRevD.99.124006

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsParticles & Fields

Authors & Affiliations

L. Perivolaropoulos* and F. Skara

  • Department of Physics, University of Ioannina, 45110 Ioannina, Greece

  • *leandros@uoi.gr
  • fskara@cc.uoi.gr

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Issue

Vol. 99, Iss. 12 — 15 June 2019

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