Effective Low-Energy Gravitational Potential for Slow Fermions Coupled to Linearised Massive Gravity

TL;DR

This paper derives an effective low-energy gravitational potential for slow fermions in linearised massive gravity, with potential applications in detecting gravitational waves and measuring neutron spin precession.

Contribution

It introduces a novel derivation of the gravitational potential for slow fermions in massive gravity, enabling new experimental tests.

Findings

Effective gravitational potential derived for slow fermions in massive gravity.

Potential for detecting gravitational waves and massive gravitons in laboratories.

Neutron spin precession calculations suggest measurable effects.

Abstract

We analyse the Dirac equation for slow fermions coupled to linearised massive gravity above the Minkowski background and derive the effective low-energy gravitational potential. The obtained results can be used in terrestrial laboratories for the detection of gravitational waves and fluxes of massive gravitons emitted by cosmological objects. We also calculate the neutron spin precession within linearised massive gravity, which in principle can be measured by neutron interferometers.