General relativity predicts that a massive, rotating object should ‘drag’ the fabric of spacetime around with it, a phenomenon known as frame-dragging or the Lense-Thirring effect. This means a gyroscope orbiting the rotating body will precess, not because of any applied torque, but because spacetime itself is being twisted by the body’s rotation.
Frame-Dragging (Lense-Thirring Effect)
- Josef Lense
- Hans Thirring
The Lense-Thirring effect is a subtle consequence of the Einstein Field Equations when applied to a rotating mass. While a non-rotating mass curves spacetime statically (described by the Schwarzschild metric), a rotating mass introduces a ‘twist’ to spacetime. This is analogous to a spinning ball in a viscous fluid like honey; the fluid near the ball is dragged by its rotation. In frame-dragging, spacetime itself is dragged. The effect is extremely weak. For Earth, the predicted precession of a gyroscope in a polar orbit is only about 42 milliarcseconds per year.
The most definitive confirmation came from the Gravity Probe B (GP-B) satellite mission, launched in 2004. GP-B used four ultra-precise gyroscopes in a polar orbit. After years of data analysis, the science team announced in 2011 that they had measured the frame-dragging effect to within 19% of the value predicted by general relativity. The effect is much more pronounced near rapidly rotating, extremely massive objects like black holes and neutron stars. Frame-dragging plays a crucial role in the astrophysics of these objects, influencing the behavior of accretion disks and potentially providing a mechanism for launching powerful relativistic jets from the poles of active galactic nuclei.
Tipo
Disruption
Utilizzo
Precursors
- Einstein Field Equations
- Mach’s principle (as a conceptual influence)
- Concept of angular momentum and rotation in classical meccanica
Applicazioni
- testing a fundamental prediction of general relativity with satellites like gravity probe b
- measuring the spin of black holes
- understanding the dynamics of accretion disks around massive objects
- providing high-precision measurements of earth’s gravitational field
Brevetti:
Potential Innovations Ideas
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