The purely gravitational generalization of spin-rotation couplings

TL;DR

This paper explores how graviton spin interacts with weak gravitomagnetic fields, extending Mashhoon's spin-rotation coupling concept to a purely gravitational context through Lagrangian analysis.

Contribution

It introduces a purely gravitational generalization of Mashhoon's spin-rotation coupling by analyzing the graviton spin interaction with weak gravitomagnetic fields.

Findings

Derived the Lagrangian density for weak gravitational fields.

Established the interaction between graviton spin and gravitomagnetic fields.

Extended the understanding of spin-rotation couplings to a purely gravitational framework.

Abstract

The nature of Mashhoon's spin-rotation coupling is the interaction between a particle spin (gravitomagnetic moment) and a gravitomagnetic field. Here we will consider the coupling of graviton spin to the weak gravitomagnetic fields by analyzing the Lagrangian density of weak gravitational field, and hence study the purely gravitational generalization of Mashhoon's spin-rotation couplings.