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Physics
Special and General Relativity
Jacobi Fields & Tidal Forces
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[QUOTE="strangerep, post: 6364682, member: 70760"] Adding just a little more to Peter's answer,... what you know as a "Jacobi field" is known in GR as the "relative displacement vector field", or just "deviation vector field". The steps to derive the equation you mentioned (involving the Riemann tensor) are exactly what you'd expect: by assuming the tangent vector field along the geodesics and the deviation field to be independent -- meaning that the Lie bracket between them is zero -- one derives the "geodesic deviation equation", aka the"Jacobi equation". [/QUOTE]
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Special and General Relativity
Jacobi Fields & Tidal Forces
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