Relativistic corrections to the Kompaneets equation
Abstract
We study the Sunyaev-Zeldovich effect for clusters of galaxies. We explore the relativistic corrections to the Kompaneets equation in terms of two different expansion approximation schemes, namely, the Fokker-Planck expansion approximation and delta function expansion approximation. We show that two expansion approximation formalisms are equivalent under the Thomson approximation, which is extremely good approximation for the CMB photon energies. This will clarify the situation for existing theoretical methods to analyse observation data.
- Publication:
-
Astroparticle Physics
- Pub Date:
- March 2015
- DOI:
- 10.1016/j.astropartphys.2014.07.008
- arXiv:
- arXiv:1402.6037
- Bibcode:
- 2015APh....62...30N
- Keywords:
-
- Sunyaev-Zeldovich effect;
- Cosmic microwave background;
- Galaxy clusters;
- Relativistic corrections;
- Astrophysics - Cosmology and Nongalactic Astrophysics
- E-Print:
- 4 pages, accepted version by Astroparticle Physics for publication