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Physics · L5 · Spacetime Curvature and Geodesics

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Conceptual diagram of how matter curves spacetime and how geodesics encode gravity.

by @openstemUpdated Physics
Matter/Energy: stress-energy tensor T_{μν}Einstein field equations:G_{μν} = 8πG/c⁴ T_{μν}Spacetime metric g_{μν}(curvature of manifold)Line element: ds² = g_{μν} dx^μ dx^νGeodesic equation:d²x^μ/dτ² + Γ^μ_{νλ} ẋ^ν ẋ^λ = 0Free-fall trajectories(planets, photons, clocks)

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