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Astrophysics, Cosmology & Relativity

Geodesic

The path of shortest (or extreme) spacetime interval between two points in curved spacetime, representing the free-fall trajectory of particles under gravity.

Governing formula (d²x^μ / dτ²) + Γ^μ_αβ (dx^α / dτ) (dx^β / dτ) = 0
SI unit Spacetime Path Trajectory

In depth

In general relativity, gravity is not a force; freely falling test masses and light rays follow curved geodesics through curved spacetime determined by Christoffel symbols Γ^μ_αβ.

Examples in the real world

Planetary orbits around the Sun following timelike geodesics through curved Solar System spacetime.