Lense-Thirring precession and gravito-gyromagnetic ratio

TL;DR

This paper derives the equations of Lense-Thirring precession for spherical orbits considering a cosmological constant, revealing new relativistic corrections and defining a gravito-gyromagnetic ratio within gravito-electromagnetism.

Contribution

It extends the gravito-electromagnetic formalism to include the $ ext{Lambda}$-term, providing new insights into relativistic corrections in Lense-Thirring precession.

Findings

The $ ext{Lambda}$-term introduces additional corrections to orbital equations.

A new interpretation of the $ ext{Lambda}$-term as a relativistic correction.

Definition of the gravito-gyromagnetic ratio in this context.

Abstract

The geodesics of bound spherical orbits i.e. of orbits performing Lense-Thirring precession, are obtained in the case of the $\Lambda$-term within gravito-electromagnetic formalism. It is shown that the presence of the $\Lambda$-term in the equations of gravity leads to both relativistic and non-relativistic corrections in the equations of motion. The contribution of the $\Lambda$-term in the Lense-Thirring precession is interpreted as an additional relativistic correction and the gravito-gyromagnetic ratio is defined.