Analytical Study on the Sunyaev-Zeldovich Effect for Clusters of Galaxies. II. comparison of covariant formalisms
arXiv:1009.2311 · doi:10.1103/PhysRevD.82.103009
Abstract
We study a covariant formalism for the Sunyaev-Zeldovich effects developed in the previous papers by the present authors, and derive analytic expressions for the redistribution functions in the Thomson approximation. We also explore another covariant formalism recently developed by Poutanen and Vurm. We show that the two formalisms are mathematically equivalent in the Thomson approximation which is fully valid for the cosmic microwave background photon energies. The present finding will establish a theoretical foundation for the analysis of the Sunyaev-Zeldovich effects for the clusters of galaxies.
Accepted version, 7 pages, 1 figure, accepted by Physical Review D for publication
References in corpus (14)
- Cosmology with the Sunyaev-Zel'dovich Effect
- The Sunyaev-Zel'dovich Effect
- Relativistic Corrections to the Sunyaev-Zel'dovich Effect for Clusters of Galaxies
- Relativistic corrections to the Sunyaev-Zel'dovich effect
- 1E0657-56: A Contender for the Hottest Known Cluster of Galaxies
- Chandra observations of RXJ1347.5-1145: the distribution of mass in the most X-ray luminous galaxy cluster known
- Relativistic Corrections to the Sunyaev-Zel'dovich Effect for Clusters of Galaxies. II. Inclusion of Peculiar Velocities
- Relativistic Corrections to the Sunyaev-Zel'dovich Effect for Clusters of Galaxies. IV. Analytic fitting formula for the Numerical Results
- First detection of the Sunyaev Zel'dovich effect increment at lambda < 650 um
- Analytical Study on the Sunyaev-Zeldovich Effect for Clusters of Galaxies
- Theory of Compton scattering by anisotropic electrons
- Study on the Solutions of the Sunyaev-Zeldovich Effect for Clusters of Galaxies
- Scaling Laws in High-Energy Inverse Compton Scattering. II. Effect of Bulk Motions
- Scaling Laws in High-Energy Inverse Compton Scattering