Quantum gravitomagnetic interaction

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.

18 pages, 1 figure

References in corpus (7)

• Aspects of Graviton Detection: Graviton Emission and Absorption by Atomic Hydrogen
• Casimir-Polder interaction of atoms with magnetodielectric bodies
• Analytical On-shell Calculation of Low Energy Higher Order Scattering
• Quantum correction to classical gravitational interaction between two polarizable objects
• Interaction between two gravitationally polarizable objects induced by thermal bath of gravitons
• Gravitomagnetic Stern--Gerlach Force
• Nonadditive quantum gravitational interaction for three nonpointlike objects

Cited by in corpus (1)

• Repulsive quantum gravitoelectric-gravitomagnetic interaction