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Ideal freely falling test bodies follow timelike geodesics, while light rays follow null geodesics in the geometric-optics limit, when nongravitational forces, finite-wavelength effects, and self-force are neglected.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
gr_to_geodesic
Relation type
Describes / governs describes-governs
Direction
source → target
Endpoint roles
source: Describes / governs; target: Described / governed by
Authored annotation
test-body free fall
Authored explanation
In the test-body approximation, freely falling bodies follow geodesics of the spacetime metric.
How to interpret this relation type
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
geodesic_math_to_motion
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
geodesic worldlines
Authored explanation
Free test-body trajectories are represented by timelike or null geodesics under the stated approximation.
How to interpret this relation type
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
Relation sources
Wikipedia — Geodesic — Geodesic · encyclopedic reference · source ID wp-geodesic
source: Contributes to; target: Contains theory component
Authored annotation
supplies null-ray propagation
Authored explanation
In geometric optics, light follows null geodesics, so the metric-dependent bending and focusing of neighboring null geodesics provide the kinematic basis for lensing observables.
How to interpret this relation type
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.