THÈSE Nicolas VASSET
THÈSE Nicolas VASSET THÈSE Nicolas VASSET
(−, +, +, +) 0, 1, 2, 3 (i, j, k...) 1, 2, 3 (a, b, c...) 2, 3 (−, +, +, +) gµν γij qab G c 1
- Page 10 and 11: h ij
- Page 13 and 14: e
- Page 15 and 16: 10 5
- Page 17: (−, +, +, +)
- Page 21 and 22: ∇µG µν = ∇µ( (4) R µν −
- Page 23 and 24: M gµν
- Page 25 and 26: R × S 3 S 3 × R
- Page 27 and 28: t Σt0 t = t0 M = R 4
- Page 29 and 30: N nα ∇αt n α = −N∇
- Page 31 and 32: DiE i = 0, ∂E i ∂t = −Dj Dj
- Page 33 and 34: D fij St,r ∈ Σt
- Page 35 and 36: −2KN
- Page 37 and 38: ˜ D ˜γij
- Page 39 and 40: Σt fij
- Page 41 and 42: h ij ∂2hij 2 N − ∂t2 ψ4 ∆
- Page 43 and 44: h ij ∂2hij 2 N − ∂t2 ψ4 ∆
- Page 45 and 46: {Ti}i∈N [−1, 1]
- Page 47 and 48: = 0 f(r, θ, ϕ) = ∞ ℓ ℓ
- Page 49 and 50: f s r {ℓ, m} O
- Page 51 and 52: [0, 1] [−1, 1]
- Page 53 and 54: ∇ Y E ℓm Y B ℓm
- Page 55 and 56: k = er F = − 1 r2
- Page 57 and 58: H hij H i ≡ ∇jh ij
- Page 59 and 60: T R 3
- Page 61 and 62: h ij ˜γ ij = f ij + h i
- Page 63 and 64: A V r V η
- Page 65 and 66: ∂ 2 L ℓm 0 ∂ 2 E ℓm 1 ∂t
- Page 67 and 68: Nr R = 6, dt = 0, 00032,
(−, +, +, +)<br />
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0, 1, 2, 3 (i, j, k...) <br />
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1, 2, 3 <br />
(a, b, c...) 2, 3 <br />
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(−, +, +, +) gµν <br />
γij<br />
qab<br />
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G c 1