On the theory of gravitation field

TL;DR

This paper develops a generalized gravitational theory with three parameters, resembling electrodynamics, describing gravitational fields via vector fields, and discusses gravitational waves carrying negative energy at infinity.

Contribution

It introduces a new gravitational formula with parameters to be experimentally determined, linking gravity to electrodynamics concepts and analyzing gravitational wave energy.

Findings

Gravitational field described by two vector fields.

Energy-momentum tensor formulated for the new theory.

Gravitational waves carry negative energy at infinity.

Abstract

We construct a general relativity formula for the law of gravity for material bodies. The formula contains three numeric parameters that are to be determined experimentally. If they are chosen from symmetry considerations, then the theory that appears is close to the theory of electrodynamics: the gravitational field is given by two vector fields, one can write the energy-momentum tensor, we give an answer on the question what a gravitational wave is. Going to infinity, this wave carries with it the negative energy.