Abstract

The Hubble-Lemaitre equation v=H∙r  (cm∙s^-1) represented a linear function of the radial Space expansion velocity, if H would be a constant. Sometimes it has been assumed as H = 1/t, which sends back to the classical v = r/t. However, the later discovered acceleration required the additional condition for H to be, also, a function of time; or, opposed, the existence of a not yet defined dark energy. In a previous paper [1] it had been proposed a provisional expression for a constant Universe expansion acceleration as function of distance: Γ= H2( cm∙s^-2). Now, the substitution of r as a function of time, takes to five new equations of H, the Hubble velocity v_H , the Hubble acceleration Γ_H and the positive Hubble potential V_H of the Space. So the proposed Hubble functions for the Space: H, r_H , v_H, Γ_H and V_H result higher than those in a gravitational field. All of these Hubble functions act in the total Space expansion though, into the Physical Universe, Γ_H is not perceived as it does, continuously, the opposed gravitational acceleration g. Otherwise, a revision is made of the Einstein equation for the c value as function of the gravitational potential φ. Additional proposals are made about the horizons definitions and parameters Ω, Ʌ and ɣ.

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