On modification of the Newton's law of gravity at very large distances

Details On modification of the Newton's law of gravity at very large distances On modification of the Newton's law of gravity at very large distances

2002-02-15

arxiv.org/abs/astro-ph/0202302v3

Phys.Lett. B532 (2002) 185-192

Astronomy and Astrophysics

Astrophysics

10 pages, Latex, small corrections which concern the critics of MOND, accepted in PLB, Journal - ref:

Scientific paper

10.1016/S0370-2693(02)01571-X

We discuss a Modified Field Theory (MOFT) in which the number of fields can vary. It is shown that when the number of fields is conserved MOFT reduces to the standard field theory but interaction constants undergo an additional renormalization and acquire a dependence on spatial scales. In particular, the renormalization of the gravitational constant leads to the deviation of the law of gravity from the Newton's law in some range of scales $r_{\min} r_{\max}$ acquires a new constant value $G^{\prime}\sim Gr_{\max}/r_{\min}$. From the dynamical standpoint this looks as if every point source is surrounded with a halo of dark matter. It is also shown that if the maximal scale $r_{\max}$ is absent, the homogeneity of the dark matter in the Universe is consistent with a fractal distribution of baryons in space, in which the luminous matter is located on thin two-dimensional surfaces separated by empty regions of ever growing size.

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