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MeJennifer
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In GR, can a spinning object be traveling on a geodesic?
cesiumfrog said:A ball falls the same way regardless of how it may be spinning (provided we can neglect friction, frame-drag, etc).
What force governs this behavior?Stingray said:No. Something called the Papapetrou equation governs the motion of spinning test particles. They do not generally move on geodesics in the absence of external forces.
MeJennifer said:What force governs this behavior?
cesiumfrog said:Yes.
Stingray said:No. Something called the Papapetrou equation governs the motion of spinning test particles.
Yes, a spinning object can travel on a geodesic in general relativity. This is known as the Kerr geodesic, which describes the motion of a spinning object in a curved spacetime.
The spin of an object can affect its geodesic in general relativity in several ways. It can cause precession, which is the gradual change in the direction of the geodesic. Additionally, the spin can affect the curvature of spacetime near the object and thus alter the geodesic path.
Yes, there is a limit to how fast an object can spin on a geodesic in general relativity. This is known as the Kerr limit, which states that an object can spin at a maximum rate of half the speed of light before it becomes unstable.
The spin of an object can significantly impact its gravitational field. In general relativity, the spin of an object contributes to its total mass and thus plays a role in the strength of its gravitational field. Additionally, the spin can cause frame-dragging, which is the dragging of spacetime around a rotating object.
No, a spinning object cannot travel in a straight line in general relativity. This is because the spin of an object affects the curvature of spacetime around it, causing it to follow a curved geodesic path instead of a straight line.