Gravitational induction
arXiv:0803.0390 · doi:10.1088/0264-9381/25/22/225014
Abstract
We study the linear post-Newtonian approximation to general relativity known as gravitoelectromagnetism (GEM); in particular, we examine the similarities and differences between GEM and electrodynamics. Notwithstanding some significant differences between them, we find that a special nonstationary metric in GEM can be employed to show {\it explicitly} that it is possible to introduce gravitational induction within GEM in close analogy with Faraday's law of induction and Lenz's law in electrodynamics. Some of the physical implications of gravitational induction are briefly discussed.
Slightly expanded version
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- Mach's Principle and Higher-Dimensional Dynamics
- Lense-Thirring precession and gravito-gyromagnetic ratio
- Gravitomagnetic time-varying effects on the motion of a test particle
- A Machian Approach to General Relativity
- Classical and relativistic orbital motions around a mass-varying body
- Gravito-electromagnetic Effects of Massive Rings
- Gravitomagnetic Field of Rotating Rings
- Orbital effects due to gravitational induction
- Spin Precession in magnetized Kerr spacetime