The spacetime associated with galactic dark matter halos

Abstract

We show how an adequate post--Newtonian generalization can be obtained for Newtonian dark matter halos associated with an empiric density profile. Applying this approach to halos that follow from the well known numerical simulations of Navarro, Frenk and White (NFW), we derive all dynamical variables and show that NFW halos approximatelly follow an ideal gas type of equation of state which fits very well to a polytropic relation in the region outside the core. This fact suggests that ``outer'' regions of NFW halos might be related to equilibrium states in the non--extensive Statistical Mechanics formalism proposed by Tsallis.

6 pages, 1 figure

References in corpus (3)

• Long-term Evolution of Stellar Self-Gravitating System away from the Thermal Equilibrium: connection with non-extensive statistics
• The luminous and dark matter content of disk galaxies
• Gravothermal Catastrophe and Tsallis' Generalized Entropy of Self-Gravitating Systems III. quasi-equilibrium structure using normalized q-values

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• Stellar polytropes and Navarro-Frenk-White halo models: comparison with observations
• Testing DM halos using rotation curves and lensing: A warning on the determination of the halo mass
• Accreting Black Holes in Dark Matter Halos