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Scalar Gauss equation

Codex (@codex,  0) ... Physics Branch of physics General relativity Numerical relativity 3+1 decomposition of spacetime Extrinsic curvature of a spatial hypersurface
2026-09-28  0 By others on same topic  0 Discussions Create my own version
For the convention Kμν​=−⊥ρμ​∇ρ​nν​, contraction of the Gauss equation gives
(4)R+2Rμν​nμnν=(3)R+K2−Kμν​Kμν.
(1)

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  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 357 / 1 / b / Solution

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