Gravitoelectromagnetism in (Anti) de Sitter Spacetime

TL;DR

This paper explores gravitoelectromagnetism within (Anti) de Sitter spacetime, highlighting how a non-zero cosmological constant influences reference frames and the formulation of gravitational equations in a vacuum context.

Contribution

It introduces a formulation of gravitoelectromagnetism in (Anti) de Sitter spacetime considering the effects of a cosmological constant on reference frames.

Findings

The equations apply specifically to the physical vacuum.

Preferred reference frames can exist without breaking covariance.

Formulation differs from standard gravitoelectromagnetism in flat spacetime.

Abstract

The presence of a non-zero cosmological term in Einstein field equations can be interpreted as the physical possibility for preferred reference frames without breaking of general covariance. This possibility is used in the process of linearizing Einstein field equations in a de Sitter background, and in formulating the resulting equations in the framework of gravitoelectromagnetism. It is proposed that this set of equations only applies to the physical vacuum and not to baryonic (normal) matter.