Gravitational Fields and Dark Matter

when the curvature of space is negative (L is the Lobachevskij constant). For obtaining a potential of Newton (or Coulomb) It is necessary to put c2 = −c1/L, L → ∞ (c2 = −c1/R, R → ∞). Let’s consider hereinafter, that at availability of the space curvature to be obliged non-zero, owing to what the Newton potential should be exchanged by a potential (1), in which c2 = −c1/L And to which one actually has come Lobachevskij [2], studying properties of the spaces with negative curvature. For such potential misses the Seeliger paradox [3] (for the matter uniformly distributed in the space and with the Newton law a full potential is divergenting). For the Lobachevskij potential, as it is uneasy to note, the divergence misses (the relativistic generalization of the Lobachevskij theory on the basis the Einstein theory was proposed by Chernikov [2]). Allowing quantum nature of exchange of quasi-particles, we shall record the Lobachevskij gravity potential in the form: