Frame-dragging: meaning, myths, and misconceptions
arXiv:2109.14641 · doi:10.3390/universe7100388
Abstract
Originally introduced in connection with general relativistic Coriolis forces, the term 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.
arXiv comment20+8 pages, 4 figures. Invited feature paper for Universe special issue on "Frame-Dragging and Gravitomagnetism"; matches the final published version
References in corpus (53)
- 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
- Black Saturn
- The Many Faces of Gravitoelectromagnetism
- Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra
- LISA observations of rapidly spinning massive black hole binary systems
- Measuring coalescing massive binary black holes with gravitational waves: The impact of spin-induced precession
- Phenomenology of the Lense-Thirring effect in the Solar System
- Equatorial circular orbits in the Kerr-de Sitter spacetimes
- Level sets of the lapse function in static GR
- A gravito-electromagnetic analogy based on tidal tensors
- Gravitomagnetic effects
- Spinning particles in general relativity: Momentum-velocity relation for the Mathisson-Pirani spin condition
- The intrinsic derivative and centrifugal forces in general relativity: II. Applications to circular orbits in some familiar stationary axisymmetric spacetimes
- Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes I. General Theory and Weak-Gravity Applications
- The intrinsic derivative and centrifugal forces in general relativity: I. Theoretical foundations
- Gravito-electromagnetic analogies
- Center of mass, spin supplementary conditions, and the momentum of spinning particles
- Gravitomagnetic Effects
- An Improved Test of the General Relativistic Effect of Frame-Dragging Using the LARES and LAGEOS Satellites
- Momentum flow in black-hole binaries: II. Numerical simulations of equal-mass, head-on mergers with antiparallel spins
- General relativistic corrections to the Sagnac effect
- The Gravitomagnetic Influence on Gyroscopes and on the Lunar Orbit
- Bobbing and Kicks in Electromagnetism and Gravity
- Spacetime dynamics of spinning particles - exact electromagnetic analogies
- A new laser-ranged satellite for General Relativity and space geodesy: I. An introduction to the LARES2 space experiment
- Gravitomagnetism and Relative Observer Clock Effects
- Intrinsic definitions of "relative velocity" in general relativity
- Comment on "The gravitomagnetic influence on gyroscopes and on the lunar orbit"
- Frame dragging, vorticity and electromagnetic fields in axially symmetric stationary spacetimes
- Modelling gravitational waves from precessing black-hole binaries: Progress, challenges and prospects
- An alternative derivation of the gravitomagnetic clock effect
- Post-Newtonian Approximation in Maxwell-Like Form
- Frame dragging and super-energy
- Gravito-magnetic resonance in the field of a gravitational wave
- On Accelerated Inertial Frames in Gravity and Electromagnetism
- Momentum Flow in Black Hole Binaries: I. Post-Newtonian Analysis of the Inspiral and Spin-Induced Bobbing
- Quasi-Maxwell interpretation of the spin-curvature coupling
- 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
- Possible connection between the reflection symmetry and existence of equatorial circular orbit
- Gravitational Magnus effect
- The Coriolis field
- "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."
- Gravitomagnetism and the significance of the curvature scalar invariants
- Gravitomagnetism in the Lewis cylindrical metrics
- General relativistic analogs of Poisson's equation and gravitational binding energy
- Perturbation of a Schwarzschild black hole due to a rotating thin disc
- Dragging of inertial frames in the composed black-hole-ring system
- Centrifugal force induced by relativistically rotating spheroids and cylinders
- On Fast Linear Gravitational Dragging