English

Gravitation equations and space-time relativity

General Relativity and Quantum Cosmology 2008-05-20 v1

Abstract

In contrast to electrodynamics, Einstein's gravitation equations are not invariant with respect to a wide class of the mapping of field variables which leave equations of motion of test particles in a given coordinate system invariant. It seems obvious enough that just these mappings should play a role of gauge transformations of the variables in differential equations of gravitational field. We consider here in short a gauge-invariant bimetric generalisation of the Einstein equations which does not contradict availabel observation data. Physical interpretation of the bimetricity based on relativity of space-time with respect to used reference frame, following conceptually from old Poincar\'{e} fundamental ideas, is proposed..

Keywords

Cite

@article{arxiv.0805.2688,
  title  = {Gravitation equations and space-time relativity},
  author = {Leonid Verozub},
  journal= {arXiv preprint arXiv:0805.2688},
  year   = {2008}
}

Comments

Latex, 6 pages, 1 figure

R2 v1 2026-06-21T10:41:45.902Z