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Scalar Gauss equation
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Physics
Branch of physics
General relativity
Numerical relativity
3+1 decomposition of spacetime
Extrinsic curvature of a spatial hypersurface
2026-09-28
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For the convention
K
μν
=
−
⊥
ρ
μ
∇
ρ
n
ν
, contraction of the
Gauss equation
gives
(
4
)
R
+
2
R
μν
n
μ
n
ν
=
(
3
)
R
+
K
2
−
K
μν
K
μν
.
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(7)
Extrinsic curvature of a spatial hypersurface
3+1 decomposition of spacetime
Numerical relativity
General relativity
Branch of physics
Physics
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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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