Gravitation equations and space-time relativity

TL;DR

This paper proposes a gauge-invariant bimetric generalization of Einstein's gravitation equations, emphasizing the relativity of space-time with respect to reference frames, aligning with Poincaré's ideas and consistent with observations.

Contribution

It introduces a novel gauge-invariant bimetric formulation of gravitational equations, extending Einstein's theory without conflicting with existing observational data.

Findings

Bimetric equations are gauge-invariant.

Relativity of space-time depends on the reference frame.

The model aligns with current observational evidence.

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..