Gravitation law and source model in the anisotropic geometrodynamics

TL;DR

This paper develops a modified anisotropic geometrodynamics theory incorporating velocity-dependent metrics, explaining galactic rotation curves, gravitational lensing, and cosmological phenomena without dark matter.

Contribution

It introduces a velocity-dependent metric modification based on the equivalence principle, providing explanations for galactic and cosmological observations without dark matter.

Findings

Explains flat galaxy rotation curves

Accounts for gravitational lensing excess

Predicts cosmological effects without dark matter

Abstract

The GRT modification taking into account the dependence of metric on the velocities of the sources is built. It is shown that this dependence follows from the equivalence principle and from the inseparability of the field equations and geodesics equations. As it is known, the latter are the conditions of the field equations solvability, and their form coincides with Newtonian one only in the lowest approximation. The obtained modification provides the explanation for the flat character of the rotation curves of spiral galaxies, for Tully-Fisher law, for some specific features of globular clusters behavior and for the essential excess of the observable gravitational lens effect over the predicted one. Neither dark matter nor arbitrary change of dynamics equations appeared to be needed. Important cosmological consequences are obtained.