Rotation of inertial frames by angular momentum of matter and waves
| Autor: | Barker, William, Ledvinka, Tomáš, Lynden-Bell, Donald, Bičák, Jiří |
|---|---|
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | 2017 Class. Quantum Grav. 34 205006 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-6382/aa8a34 |
| Popis: | 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. Comment: 16 pages, 3 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|