Frame-dragging: meaning, myths, and misconceptions

Abstract

Originally introduced in connection with general relativistic Coriolis forces, the term $\text{frame-dragging}$ is associated today with a plethora of effects related to the off-diagonal element of the metric tensor. It is also frequently the subject of misconceptions leading to incorrect predictions, even of nonexistent effects. We show that there are three different levels of frame-dragging corresponding to three distinct gravitomagnetic objects: gravitomagnetic potential 1-form, field, and tidal tensor, whose effects are independent, and sometimes opposing. It is seen that, from the two analogies commonly employed, the analogy with magnetism holds strong where it applies, whereas the fluid-dragging analogy (albeit of some use, qualitatively, in the first level) is, in general, misleading. Common misconceptions (such as viscous-type "body-dragging") are debunked. Applications considered include rotating cylinders (Lewis-Weyl metrics), Kerr, Kerr-Newman and Kerr-dS spacetimes, black holes surrounded by disks/rings, and binary systems.

20+8 pages, 4 figures. Invited feature paper for Universe special issue on "Frame-Dragging and Gravitomagnetism"; matches the final published version

References in corpus (19)

• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
• Towards models of gravitational waveforms from generic binaries II: Modelling precession effects with a single effective precession parameter
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Phenomenology of the Lense-Thirring effect in the Solar System
• Equatorial circular orbits in the Kerr-de Sitter spacetimes
• A gravito-electromagnetic analogy based on tidal tensors
• An Improved Test of the General Relativistic Effect of Frame-Dragging Using the LARES and LAGEOS Satellites
• The Gravitomagnetic Influence on Gyroscopes and on the Lunar Orbit
• Bobbing and Kicks in Electromagnetism and Gravity
• A new laser-ranged satellite for General Relativity and space geodesy: I. An introduction to the LARES2 space experiment
• Comment on "The gravitomagnetic influence on gyroscopes and on the lunar orbit"
• Frame dragging and super-energy
• Gravito-magnetic resonance in the field of a gravitational wave
• Murphy et al. Reply to the Comment by Kopeikin on "Gravitomagnetic Influence on Gyroscopes and on the Lunar Orbit"
• A comment on "A test of general relativity using the LARES and LAGEOS satellites and a GRACE Earth gravity model", by I. Ciufolini et al
• "Reply to A comment on A test of general relativity using the LARES and LAGEOS satellites and a GRACE Earth gravity model, by I. Ciufolini et al."
• Centrifugal force induced by relativistically rotating spheroids and cylinders
• On Fast Linear Gravitational Dragging