Improvements in the M-T Relation, Mass Function, and Measured Value of Ωm through Cluster Evolution
Abstract
In this paper I revisit the constraints obtained by several authors on the estimated values of Ωm, n, and σ8 in light of recent theoretical developments: (1) new theoretical mass functions and (2) a more accurate mass-temperature relation, also determined for arbitrary Ωm and ΩΛ. First, using the quoted improvements, I rederive an expression for the X-ray luminosity function (XLF) similarly to Reichart and coworkers, and then I obtain constraints on Ωm and n by using the ROSAT Brightest Cluster Sample, an Einstein Extended Medium-Sensitivity Survey sample, and maximum likelihood analysis. Then I rederive the X-ray temperature function (XTF) similarly to Henry and to Eke and coworkers, reobtaining the constraints on Ωm, n, σ8. In the cases of both the XLF and XTF, the changes in the mass function and M-T relation produce an increase in Ωm of ~=20% and similar results in σ8 and n.
- Publication:
-
The Astrophysical Journal
- Pub Date:
- December 2003
- DOI:
- 10.1086/379542
- arXiv:
- arXiv:astro-ph/0309167
- Bibcode:
- 2003ApJ...599..723D
- Keywords:
-
- Cosmology: Theory;
- Galaxies: Formation;
- Cosmology: Large-Scale Structure of Universe;
- Astrophysics
- E-Print:
- 34 pages, 11 encapsulated figures. Accepted by ApJ