Gravitoelectromagnetism: Basic principles, novel approaches and their application to Electromagnetism

TL;DR

This paper reviews gravitoelectromagnetism, addresses its issues with novel approaches using additional gravitational degrees of freedom, and explores gravitational invariants analogous to electromagnetic ones.

Contribution

It introduces new methods to improve gravitoelectromagnetism by utilizing extra gravitational degrees of freedom and extends a tensorial theory to better describe electromagnetism.

Findings

Proposed new approaches to address problems in GEM

Extended tensorial theory for more realistic electromagnetism

Investigated gravitational invariants similar to electromagnetic ones

Abstract

This work is focused on the theory of Gravitoelectromagnetism (GEM). In the first part of this work we present a brief review of gravitoelectromagnetism, we locate and discuss all the problems which appear in this approach. We also try to avoid these problems by proposing new approaches in which we use the additional degrees of freedom of the gravitational field. In the second part of this work, we review our previous work regarding the construction of a tensorial theory, using the formalism of General Relativity, which aims to describe the true electromagnetism. We also extend this theory in order to make it more realistic. Finally in the third part of this work, we investigate the existence of gravitational invariants similar to the electromagnetic ones.