Clarifying the covariant formalism for the SZ effect due to relativistic non-thermal electrons

Details Clarifying the covariant formalism for the SZ effect due to relativistic non-thermal electrons Clarifying the covariant formalism for the SZ effect due to relativistic non-thermal electrons

2008-12-17

arxiv.org/abs/0812.3282v2

Phys.Rev.D79:083505,2009

Astronomy and Astrophysics

Astrophysics

12 pages. Error in the interpretation of E. Wright's earlier results corrected. Accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.79.083505

We derive the covariant formalism associated with the relativistic Sunyaev-Zel'dovich effect due to a non-thermal population of high energy electrons in clusters of galaxies. More precisely, we show that the formalism proposed by Wright in 1979, based on an empirical approach (and widely used in the literature) to compute the inverse Compton scattering of a population of relativistic electrons on CMB photons, can actually be re-interpreted as a Boltzmann-like equation, in the single scattering approximation.

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