Speaker
Description
We demonstrate a general relativistic approach to model dark matter halos using the Einstein cluster, with the matter stress-energy comprising 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 may provide a viable model
for dark matter halos which tally well with observations.
| ritwikacharyya@kgpian.iitkgp.ac.in | |
| Affiliation | Indian Institute of Technology Kharagpur |
