Fermi-Walker differentiation

Fermi-Walker differentiation

geometry-stubIn the theory of Lorentzian manifolds, Fermi-Walker differentiation is a generalization of covariant differentiation.

Application to general relativity

In general relativity, Fermi-Walker derivatives of the spacelike unit vector fields in a frame field, taken with respect to the timelike unit vector field in the frame field, are used to define non-inertial but nonspinning frames, by stipulating that the Fermi-Walker derivatives should vanish. In the special case of inertial frames, the Fermi-Walker derivatives reduce to covariant derivatives.


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