The evolution of the luminosity-temperature-mass relations of hot gas in Chandra clusters at 0.4 < z < 1.4

We analyzed the luminosity-temperature-mass of gas (L_X - T - M_g) relation for sample of galaxy clusters that have been observed by the Chandra satellite. We used 21 high-redshift clusters (0.4 < z < 1.4). We assumed a power-law relation between the X-ray luminosity of galaxy clusters and its temperature and redshift L_X ~ (1+z)^A_L_XTT^beta_L_XT. We obtained that for an Omega_m = 0.27 and Lambda = 0.73 universe, A_L_XT = 1.50 +/- 0.23, beta_L_XT = 2.55 +/- 0.07 (for 68% confidence level). Then, we found the evolution of M_g - T relation is small. We assumed a power-law relation in the form M_g ~ (1+z)^A_M_gTT^beta_M_gT also, and we obtained A_M_gT = -0.58 +/- 0.13 and beta_M_gT = 1.77 +/- 0.16. We also obtained the evolution in M_g - L_X relation, we can conclude that such relation has strong evolution for our cosmological parameters. We used M_g ~ (1+z)^A_M_gL_XL^beta_M_gL_X equation for assuming this relation and we found A_M_gL_X ~ -1.86 +/- 0.34 and beta_M_gL_X = 0.73 +/- 0.15 for Omega_m = 0.27 and Lambda = 0.73 universe. In overal, the clusters on big redshifts have much stronger evolution between correlations of luminosity, temperature and mass, then such correlations for clusters at small redshifts. We can conclude that such strong evolution in L_X - T - M_g correlations indicate that in the past the clusters have bigger temperature and higher luminosity.