Dragging of inertial frames by matter and waves
Ji\v{r}\'i Bi\v{c}\'ak, Tom\'a\v{s} Ledvinka
TL;DR
This paper reviews and analyzes gravitomagnetic effects in general relativity, including frame dragging around black holes, collapsing shells, and gravitational waves, and discusses quantum detection and cosmological gauge applications.
Contribution
It provides a comparative analysis of different gravitomagnetic phenomena and introduces quantum detection methods and gauge concepts in cosmology.
Findings
Quantum detection of frame dragging is feasible with Unruh-DeWitt detectors.
Gravitomagnetic effects are significant in black holes and collapsing shells.
Instantaneous Machian gauges aid in cosmological perturbation analysis.
Abstract
In this paper, we review and analyze four specific general-relativistic problems in which gravitomagnetism plays an important role: the dragging of magnetic fields around rotating black holes, dragging inside a collapsing slowly rotating spherical shell of dust, compared with the dragging by rotating gravitational waves. We demonstrate how the quantum detection of inertial frame dragging can be accomplished by using the Unruh-DeWitt detectors. Finally, we shall briefly show how ``instantaneous Machian gauges'' can be useful in the cosmological perturbation theory.
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