2011/02/14 by Shuo Cao, Cao, Shuo, Zong‐Hong Zhu +1 · 1 citation
Physics and Astronomy · #Astronomy and Astrophysical Research #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc)
paper · pdf · doi:10.48550/arxiv.1102.2750
openalex publication_date 2011/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The validity of distance duality relation, η=DL(z)(1+z)-2/DA(z)=1, an exact result required by the Etherington reciprocity theorem, where DA(z) and DL(z) are the angular and luminosity distances, plays an essential part in cosmological observations and model constraints. In this paper, we investigate some consequences of such a relation by assuming η a constant or a function of the redshift. In order to constrain the parameters concerning η, we consider two groups of cluster gas mass fraction data including 52 X-ray luminous galaxy clusters observed by Chandra in the redshift range 0.3∼ 1.273 and temperature range T\rm gas> 4 keV, under the assumptions of two different temperature profiles [1]. We find that the constant temperature profile is in relatively good agreement with no violation of the distance duality relation for both parameterizations of η, while the one with temperature gradient (the Vikhlinin et al. temperature profile) seems to be incompatible even at 99% CL.