Rotation of inertial frames by angular momentum of matter and waves

Abstract

We elucidate the dynamics of a thin spherical material shell with a tangential pressure, using a new approach. This is both simpler than the traditional method of extrinsic curvature junction conditions (which we also employ), and suggests an expression for a `gravitational potential energy' of the shell. Such a shell, if slowly spinning, can rotationally drag the inertial frames within it through a finite angle as it collapses and rebounds from a minimum radius. Rebounding `spherical' and cylindrical pulses of rotating gravitational waves were studied previously. Here we calculate their angular momentum and show that their rotational frame dragging is in agreement with that of the rotating spherical shell and a rotating cylindrical dust shell. This shows that Machian effects occur equally for material and analogous `immaterial' sources.

arXiv comment16 pages, 3 figures

References in corpus (6)

• A Comment on Junction and Energy Conditions in Thin Shells
• Instantaneous Inertial Frame but Retarded Electromagnetism in Rotating Relativistic Collapse
• Inertial frame rotation induced by rotating gravitational waves
• Effects of rotating gravitational waves
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• Constraining supersymmetry from the satellite experiments

Cited by in corpus (2)

• Quantum Detection of Inertial Frame Dragging
• Dragging of inertial frames by matter and waves