Graviton mass and total relative density of mass Ω tot in

It is noticed that the total relative density of mass in the Universe Ωtot should exceed 1, i.e. Ωtot = 1 + f 2/6 according to the field relativistic theory of gravity (RTG), which is free of the cosmological singularity and which provides the Euclidean character for the 3-dimensional space. Here f is the ratio of the graviton mass mg to the contemporary value of the “Hubble mass” mH = ~H0/c 2 ≃ 3, 8 · 10−66h(g) (h = 0, 71± 0, 07). Applying results of the experimental data processing presented in [1] an upper limit for the graviton mass is established as mg ≤ 3, 2 · 10−66g at the 95% confidence level. Experimental data obtained in measuring angular characteristics of the cosmic microwave background (CMB) spectrum give us an opportunity to determine some cosmological parameters [2], including Ωtot = ρtot/ρc, which is the ratio of density of all the matter species ρtot to the critical density ρc = 3H 2 0/8πG, where G is the gravitational constant and H0 is the contemporary value of the Hubble constant [3]. The joint analysis of two recent experiments BOOMERANG-98 [4] and MAXIMA-1 [5] is provided in the article by A. Jaffe et al [1] with account for data of the previous experiment COBE DMR [6], and also with account for data obtained in studying supernova 1a (SN1a) [7] and large-scale structures of the Universe (LSS) [8]. Results of this analysis [1] show that the average value of Ωtot systematically exceeds Ωtot = 1 for the combination of different experiments and at the confidence level 68% we have Ωtot = 1, 11± 0, 7 (68%C.L). (1) [email protected] [email protected]