1 research outputs found
Modelling Einstein cluster using Einasto profile
We demonstrate a general relativistic approach to model dark matter halos
using the Einstein cluster, with the matter stress-energy generated by
collisionless particles moving on circular geodesics in all possible angular
directions and orbital radii. Such matter, as is known, allows an anisotropic
pressure profile with non-zero tangential but zero radial pressure. We use the
Einasto density profile for the Einstein cluster. Analytical studies on its
properties (metric functions) and stability issues are investigated. Further,
to establish this model (with the Einasto profile) as one for a dark matter
halo, we use the SPARC galactic rotation curve data and estimate the best-fit
values for the model parameters. General relativistic features (beyond the
Keplerian velocities) such as the tangential pressure profile, are
quantitatively explored. Thus, Einstein clusters with the Einasto profile,
which tally well with observations, may be considered as a viable model for
dark matter halos.Comment: 18 pages, 6 figure