Fermi-Walker transport is a concept in general relativity that describes how vectors (such as four-vectors) are transported along a curve in a curved spacetime. It is particularly useful in the context of allowing a parallel transport of vectors along a worldline in a way that respects the geometry of spacetime. The method is named after physicist Enrico Fermi and is often associated with the study of accelerated motion in general relativity.
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Transport defining a nonrotating frame along an accelerated timelike curve. With four-velocity normalization and four-acceleration , the displayed equation preserves inner products and keeps a spatial spin orthogonal to . Along a geodesic, and it reduces to parallel transport.