THÈSE Nicolas VASSET
THÈSE Nicolas VASSET THÈSE Nicolas VASSET
S t = t0 t = t0 S θ (l) 0 (θ, ϕ) θ (l) ∞ = 0 1 ∂θ N (l) (t) ∂t = µθ∆θϕθ (l) (t) − αθθ (l) (t). ψ 4˜s i ˜ Diψ + ˜ Di˜s i + ψ −2 Kij˜s i ˜s j − ψ 2 K = θ (l) (t)ψ 2 , ψ ψ ψ ∂ψ ∂t = βi ˜ Diψ + ψ 6 ( ˜ Diβ i − NK), β i
V i (b − N) 1 ∂(b − N) = µ(b−N)∆θϕ(b − N) − α(b−N)(b − N), N ∂t b = N V a 1 ∂V N i ∂t = αV ( (2) ∆V i + (2) R i jV j ), V i b = 1 s i ˜ Diψ ∂ψ ∂t − V i ˜ Diψ ψ 6 ( ˜ Diβ i − NK) . N0(θ, ϕ) N∞ 1 N ∂N ∂t = µN∆θϕN − αN(N − N∞). N0(θ, ϕ) S t = t0
- Page 110 and 111: ψ
- Page 112 and 113: ψ
- Page 114 and 115: ˜γij = ψ −4 γij; ψ = 1 (γ
- Page 116 and 117: h ij h ij D
- Page 118 and 119: h ij
- Page 120 and 121: A ∆A − ψ4 N 2 LβLβA = A
- Page 122 and 123: ∆h µ + 2 ∂h r µ ∂r ∆h η
- Page 124 and 125: h ij h ij
- Page 126 and 127: MHΩ JK a M
- Page 128 and 129: MH JH MADM
- Page 130 and 131: 1 − ɛA M2 M 3
- Page 132 and 133: ˜γ ij
- Page 134 and 135: h ij A ˜ B
- Page 136 and 137: H IJ A ˜ B
- Page 138 and 139: AHE = 8π(M 2 ADM + M 4 ADM − J
- Page 140 and 141: MHawking(S2) ≥ MHawking(S1) S2
- Page 142 and 143: ɛ P := A 16πM 2 ADM ɛ A := ≤ 1
- Page 144 and 145: R = r + M 2 − a2 + M, 4r R
- Page 146 and 147: H (1−ɛA) r
- Page 148 and 149: ɛA ɛP A JK λ
- Page 150 and 151: (1 − ɛA) NH = 0.5
- Page 152 and 153: ɛP A NH = 0.55
- Page 154 and 155: Σt St
- Page 156 and 157: (b − N) (b − N) = −Cθ
- Page 158 and 159: t0
- Page 162 and 163: αN = 1000 µN = 1
- Page 164 and 165: ψ 2 α (b−N) = 1000 µ (
- Page 166 and 167: ψ 2 α (b−N) = 1000 µ (
- Page 168 and 169: ψ 2 α (b−N) = 1000 µ (
- Page 170 and 171: ψ 2 α (b−N) = 1000 µ (
- Page 172 and 173: ψ 2 α (b−N) = 1000 µ (
- Page 174 and 175: ψ 2 α (b−N) = 1000 µ (
- Page 176: ψ 2 α (b−N) = 1000 µ (
V i <br />
(b − N) <br />
<br />
1 ∂(b − N)<br />
= µ(b−N)∆θϕ(b − N) − α(b−N)(b − N), <br />
N ∂t<br />
b = N <br />
<br />
V a <br />
<br />
<br />
<br />
<br />
<br />
1 ∂V<br />
N<br />
i<br />
∂t = αV ( (2) ∆V i + (2) R i jV j ), <br />
<br />
V i <br />
<br />
<br />
<br />
<br />
b = 1<br />
s i ˜ Diψ<br />
∂ψ<br />
∂t − V i ˜ Diψ ψ<br />
6 ( ˜ Diβ i − NK)<br />
<br />
. <br />
<br />
<br />
<br />
<br />
N0(θ, ϕ) N∞ <br />
1<br />
N<br />
∂N<br />
∂t = µN∆θϕN − αN(N − N∞). <br />
<br />
N0(θ, ϕ) <br />
<br />
<br />
<br />
<br />
<br />
<br />
S t = t0
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