Compatibility of the Expansive Nondecelerative Universe Model with the Newton Gravitational Theory and the General Theory of Rel- Ativity

X iv :g rqc /0 00 40 67 v1 2 0 A pr 2 00 0 Compatibility of the Expansive Nondecelerative Universe Model with the Newton Gravitational Theory and the General Theory of Relativity Miroslav Sukenik, Jozef Sima and Julius Vanko Slovak Technical University, Dep. Inorg. Chem., Radlinskeho 9, 812 37 Bratislava, Slovakia Comenius University, Dep. Nucl. Physics, Mlynska dolina F1, 842 48 Bratislava, Slovakia e-mail: [email protected]; [email protected] Abstract. Applying the Vaidya metrics in the model of Expansive Nondecelerative Universe (ENU) leads to compatibility of the ENU model both with the classic Newton gravitational theory and the general theory of relativity in weak fields. Applying the Vaidya metrics [1] to gravitational field has led us [2] to relation εg = − R.c 8π.G = − 3m.c 4π.a.r (1) where εg is the density of the gravitational energy created by a body with the mass m in the distance r, R is the scalar curvature, a is the gauge factor reaching at the present a ≈ 10m (2) The mean energy density of ENU, εENU is expressed [3] as εENU = 3c 8π.G.a (3) When both densities are of the identical value |εg| = εENU (4) then the following relations hold R = ref = (Rg.a) 1/2 (5) in which ref is the effective radius of a body with the mass m, Rg is its gravitational diameter. Compton wave λC can be expressed as λC = h m.c (6) and then, based on identity of (5) and (6), relation expressing the lightest particle capable to have gravitational influence on its environment appears [3]