Extrasolar scale change in Newton's Law from 5D `plain' R^2-gravity

Details Extrasolar scale change in Newton's Law from 5D `plain' R^2-gravity Extrasolar scale change in Newton's Law from 5D `plain' R^2-gravity

2007-04-06

arxiv.org/abs/0704.0857v1

Astronomy and Astrophysics

Astrophysics

Latex, 10 pages, 1 figure (poster.pdf submitted to NPPD-07 is addon)

Scientific paper

Galactic rotation curves and lack of direct observations of Dark Matter may indicate that General Relativity is not valid (on galactic scale) and should be replaced with another theory. There is the only variant of Absolute Parallelism which solutions are free of arising singularities, if D=5 (there is no room for changes). This variant does not have a Lagrangian, nor match GR: an equation of `plain' R^2-gravity (ie without R-term) is in sight instead. Arranging an expanding O_4-symmetrical solution as the basis of 5D cosmological model, and probing a universal_function of mass distribution (along very-very long the extra dimension) to place into bi-Laplace equation (R^2 gravity), one can derive the Law of Gravitation: 1/r^2 transforms to 1/r with distance (not with acceleration).

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