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Modified gravity models and the central cusp of dark matter haloes in galaxies

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Abstract
The N-body dark matter (DM) simulations point that DM density profiles, e.g. the Navarro Frenk White (NFW) halo, should be cuspy in its centre, but observations disfavour this kind of DM profile. Here we consider whether the observed rotation curves close to the galactic centre can favour modified gravity models in comparison to the NFW halo, and how to quantify such difference. Two explicit modified gravity models are considered, Modified Newtonian Dynamics (MOND) and a more recent approach renormalization group effects in general relativity (RGGR). It is also the purpose of this work to significantly extend the sample on which RGGR has been tested in comparison to other approaches. By analysing 62 galaxies from five samples, we find that (i) there is a radius, given by half the disc scale length, below which RGGR and MOND can match the data about as well or better than NFW, albeit the formers have fewer free parameters; (ii) considering the complete rotation curve data, RGGR could achieve fits with better agreement than MOND, and almost as good as a NFW halo with two free parameters (NFW and RGGR have, respectively, two and one more free parameters than MOND).
Keywords
galaxies: kinematics and dynamics, gravitation, galaxies: spiral, dark matter, SURFACE BRIGHTNESS GALAXIES, MODIFIED NEWTONIAN DYNAMICS, RESOLUTION ROTATION CURVES, FINE-STRUCTURE CONSTANT, DENSITY PROFILE, DWARF GALAXIES, COSMOLOGICAL CONSTANT, MASS-DISTRIBUTION, SCALING BEHAVIOR, SPIRAL GALAXIES

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Chicago
Rodrigues, Davi C, Paulo L de Oliveira, Júlio C Fabris, and Gianfranco Gentile. 2014. “Modified Gravity Models and the Central Cusp of Dark Matter Haloes in Galaxies.” Monthly Notices of the Royal Astronomical Society 445 (4): 3823–3838.
APA
Rodrigues, D. C., de Oliveira, P. L., Fabris, J. C., & Gentile, G. (2014). Modified gravity models and the central cusp of dark matter haloes in galaxies. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 445(4), 3823–3838.
Vancouver
1.
Rodrigues DC, de Oliveira PL, Fabris JC, Gentile G. Modified gravity models and the central cusp of dark matter haloes in galaxies. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY. 2014;445(4):3823–38.
MLA
Rodrigues, Davi C et al. “Modified Gravity Models and the Central Cusp of Dark Matter Haloes in Galaxies.” MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 445.4 (2014): 3823–3838. Print.
@article{6847167,
  abstract     = {The N-body dark matter (DM) simulations point that DM density profiles, e.g. the Navarro Frenk White (NFW) halo, should be cuspy in its centre, but observations disfavour this kind of DM profile. Here we consider whether the observed rotation curves close to the galactic centre can favour modified gravity models in comparison to the NFW halo, and how to quantify such difference. Two explicit modified gravity models are considered, Modified Newtonian Dynamics (MOND) and a more recent approach renormalization group effects in general relativity (RGGR). It is also the purpose of this work to significantly extend the sample on which RGGR has been tested in comparison to other approaches. By analysing 62 galaxies from five samples, we find that (i) there is a radius, given by half the disc scale length, below which RGGR and MOND can match the data about as well or better than NFW, albeit the formers have fewer free parameters; (ii) considering the complete rotation curve data, RGGR could achieve fits with better agreement than MOND, and almost as good as a NFW halo with two free parameters (NFW and RGGR have, respectively, two and one more free parameters than MOND).},
  author       = {Rodrigues, Davi C and de Oliveira, Paulo L and Fabris, Júlio C and Gentile, Gianfranco},
  issn         = {0035-8711},
  journal      = {MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY},
  keywords     = {galaxies: kinematics and dynamics,gravitation,galaxies: spiral,dark matter,SURFACE BRIGHTNESS GALAXIES,MODIFIED NEWTONIAN DYNAMICS,RESOLUTION ROTATION CURVES,FINE-STRUCTURE CONSTANT,DENSITY PROFILE,DWARF GALAXIES,COSMOLOGICAL CONSTANT,MASS-DISTRIBUTION,SCALING BEHAVIOR,SPIRAL GALAXIES},
  language     = {eng},
  number       = {4},
  pages        = {3823--3838},
  title        = {Modified gravity models and the central cusp of dark matter haloes in galaxies},
  url          = {http://dx.doi.org/10.1093/mnras/stu2017},
  volume       = {445},
  year         = {2014},
}

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