KnowraGeodesicLinked fromLinked fromThe 68 pages that link to Geodesic, each with the reason it gives.All 68Broader topic 9Related 44Narrower topic 9Compared with 6General relativityBroader topic: Freely falling bodies follow spacetime geodesics when nongravitational forces are absent.Differential geometryBroader topic: Geodesics generalize straight lines and reveal the metric’s local geometry.GravityBroader topic: In general relativity, freely falling matter follows spacetime geodesics.Calculus of variationsBroader topic: Geodesics arise by extremizing curve length, a basic variational problem.DistanceBroader topic: On curved spaces, separation is measured along shortest paths constrained to the space.Riemannian metricBroader topic: The metric determines which curves count as locally straight.Levi-Civita connectionBroader topic: The connection's covariant derivative defines the equation for metric geodesics.Hyperbolic planeBroader topic: Geodesics play the role of straight lines in this geometry.Gravitational singularityBroader topic: Incomplete freely falling geodesics provide a principal way to identify singular spacetimes.