Relativistic corrections to the Sunyaev-Zeldovich effect for clusters of galaxies: effect of the motion of the observer

Free access article

Issue		A&A Volume 440, Number 1, September II 2005


Page(s)		39 - 44
Section		Cosmology (including clusters of galaxies)
DOI		http://dx.doi.org/10.1051/0004-6361:20052923

A&A 440, 39-44 (2005)
DOI: 10.1051/0004-6361:20052923

Relativistic corrections to the Sunyaev-Zeldovich effect for clusters of galaxies: effect of the motion of the observer

S. Nozawa¹, N. Itoh² and Y. Kohyama³

¹ Josai Junior College for Women, 1-1 Keyakidai, Sakado-shi, Saitama 350-0290, Japan
    e-mail: snozawa@josai.ac.jp
² Department of Physics, Sophia University, 7-1 Kioi-cho, Chiyoda-ku, Tokyo 102-8554, Japan
    e-mail: n_itoh@sophia.ac.jp
³ Mizuho Information and Research Institute, 2-3 Kanda-Nishiki-cho, Chiyoda-ku, Tokyo 101-8443, Japan
    e-mail: yasuharu.kohyama@gene.mizuho-ir.co.jp

(Received 23 February 2005 / Accepted 26 April 2005 )

Abstract
We extend the formalism of the relativistic thermal and kinematical Sunyaev-Zeldovich effects to the observer's system (the Solar System) moving with a velocity $\vec{\beta}_{\rm S} \equiv \vec{v}_{\rm S}/c$ with respect to the cosmic microwave background radiation. The present formulation makes full use of the Lorentz covariance properties of the problem and gives solutions with high precision. We confirm the results recently obtained by Chluba, Huetsi, and Sunyaev in the lowest order of the observer's velocity $\beta_{\rm S}$ . We give a more general analytic expression for the thermal and kinematical Sunyaev-Zeldovich effects corresponding to the observer's system (the Solar System) with the power series expansion approximation in terms of $\theta_{\rm e} \equiv k_{\rm B}T_{\rm e}/mc^{2}$ , where $T_{\rm e}$ and m are the electron temperature and the electron mass, respectively.

Key words: cosmology: cosmic microwave background -- cosmology: theory -- galaxies: clusters: general -- radiation mechanisms: thermal -- relativity

SIMBAD Objects

What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.

If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.