Anisotropic geometrodynamics in cosmological problems

TL;DR

This paper proposes a modified gravitation theory based on geometric principles, addressing classical issues like galaxy rotation curves and the Tully-Fisher law, and offering insights into cosmic acceleration.

Contribution

It introduces a generalized geodesic framework that extends classical GRT, providing a geometric origin for dark matter effects and cosmic acceleration.

Findings

Explains flat galaxy rotation curves without dark matter

Derives the Tully-Fisher law from geometric principles

Reveals a fundamental geometric origin of cosmic acceleration

Abstract

The gravitation theory is modified on the base of geometric identity and equivalence principle. This makes it possible to generalize the geodesics and solve several problems of classical GRT such as flat rotation curves of the spiral galaxies, Tully-Fisher law and some others and reveal the fundamental (geometrical) origin of the cH acceleration value. The developed approach contains all the results of the classical GRT and has promising cosmological consequences.