Quantum gravitomagnetic interaction

TL;DR

This paper investigates a new quantum gravitomagnetic interaction between nonpointlike objects in linearized quantum gravity, revealing an additional interaction component with specific distance dependencies, extending previous studies on quantum gravitational effects.

Contribution

It introduces the concept of a quantum gravitomagnetic interaction, deriving its explicit form and demonstrating its dependence on distance and object properties.

Findings

Identifies a new quantum gravitomagnetic interaction component.

Derives the interaction energy with specific $r^{-10}$ and $r^{-11}$ dependencies.

Highlights the significance for objects with large gravitomagnetic polarizability.

Abstract

In the framework of linearized quantum gravity, we study the quantum gravitational interaction between two nonpointlike objects induced by fluctuating gravitomagnetic fields in vacuum. We find that, in addition to the quantum gravitational interaction induced by fluctuating gravitoelectric fields previously studied, there exists a quantum gravitomagnetic interaction. This interaction originates from the interaction between the instantaneous localized mass currents in nonpointlike objects induced by the fluctuating gravitomagnetic fields. Using fourth-order perturbation theory, we derive the explicit form of the quantum gravitomagnetic interaction energy, which shows an $r^{-10}$ dependence in the near regime and an $r^{-11}$ dependence in the far regime, where $r$ is the distance between the two objects. This interaction energy is expected to be significant when the gravitomagnetic polarizability of the objects is large.