Particle with spin 2 and anomalous magnetic moment in external electromagnetic and gravitational fields

TL;DR

This paper extends the relativistic wave equation for a spin-2 particle with an anomalous magnetic moment to curved space-times, introducing new interaction terms with gravitational fields via Ricci and Riemann tensors.

Contribution

It generalizes the wave equation for spin-2 particles with anomalous magnetic moments to arbitrary curved geometries, incorporating interactions with gravitational fields.

Findings

Derived extended wave equation in curved space-time.

Identified new interaction terms involving Ricci and Riemann tensors.

Provides a framework for analyzing spin-2 particles in gravitational backgrounds.

Abstract

Tensor 50-component form of the first order relativistic wave equation for a particle with spin 2 and anomalous magnetic moment is extended to the case of an arbitrary curved space-time geometry. An additional parameter considered in the presence of only electromagnetic field as related to anomalous magnetic moment, turns to determine additional interaction terms with external geometrical background through Ricci R_{kl} and Riemann R_{klmn} tensors.