Questions tagged [geodesics]

For questions involving consideration of the shortest (or longest) path between two points in a curved space (e.g. a straight line between two points on the surface of a sphere such as the earth).

932 questions
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Null geodesics vs timelike geodesics

I'm interested in the paragraph under equation (38) of this…
user11128
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If every particle always follows a geodesic, why do we make any sort of differentiation between geodesics and anything else?

Because all particles must follow their geodesics, is there any reason we make a differentiation between a geodesic and a "non-geodesic"? And is there any possible way to get a particle to follow a path outside its geodesic without exerting any sort…
user395915