THÈSE Nicolas VASSET
THÈSE Nicolas VASSET THÈSE Nicolas VASSET
2π µ ∂ ∂ϕ St JH = St Ωaφ a ɛ S , ɛ S = √ qd 2 y H φ µ St t µ t µ EH m µ = t µ + Ωφ µ ∈ [l], Ω t µ [l] l t µ EH AH JH δEH = κH(AH, JH) δAH + ΩH(AH, JH)δJH, 8π κH ΩH EH κH ΩH [l] m µ RH m µ MH(RH, JH) = MKerr(RH, JH) = κH(RH, JH) = κKerr(RH, JH) = ΩH(RH, JH) = ΩKerr(RH, JH) = R 2 H = AH , 4π R 4 H + 4J 2 H 2RH R4 H − 4J 2 H 2R3 4 H RH + 4J 2 H 2JH 4 RH RH + 4J 2 H , , .
κ Ω q α µLlΩ (l) α = (2) Dµκ, St l k θ (l) = 0 θ (k) < 0 Lkθ (l) < 0. Lkθ (l) < 0 θ (l) θ (k) < 0 h µ
- Page 52 and 53: V R ∀(θ, ϕ) ∀t
- Page 54 and 55: ∇ · D0 = 0 W W µ
- Page 56 and 57: A V r V η
- Page 58 and 59: h = h rr + h τ . h τ
- Page 60 and 61: ∂ 2 A = ∆A, ∂t2 ∂2B C =
- Page 62 and 63: h rr h η h W (ℓ + 2) ∂Eℓm
- Page 64 and 65: A h µ h X ˜
- Page 66 and 67: = R > 0 ∀(θ, ϕ) ∀t
- Page 68 and 69: dt R = 6, Nr = 17, Nθ = 17,
- Page 70 and 71: dt R = 6, Nr = 17, Nθ = 17,
- Page 72 and 73: A, A, ˜ B
- Page 74 and 75: p (M, ηµν) D + (p)
- Page 76 and 77: ∗ = r + 2M r 2M − 1 .
- Page 78 and 79: T = 0
- Page 80 and 81: (x, y, z, t) r(xdx + ydy) −
- Page 82 and 83: ∂ µ ∂t
- Page 84 and 85: = 2M r = 0
- Page 86 and 87: θ (ξ)
- Page 88 and 89: a 2 > M 2
- Page 90 and 91: ∂ µ ∂t ∂ µ µ
- Page 92 and 93: mi Mi N
- Page 94 and 95: X i ψ
- Page 96 and 97: Σ (
- Page 98 and 99: θ (l) µ = 1 16π ζ
- Page 100 and 101: (M, gµν) S 2 × R l µ
- Page 104 and 105: St θ (l) = 0 θ (k) < 0.
- Page 106 and 107: ¯κ
- Page 108 and 109: (Σt, γij, Kij)
- 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
2π <br />
<br />
µ<br />
∂ <br />
∂ϕ<br />
St <br />
JH =<br />
<br />
St<br />
Ωaφ a ɛ S , <br />
ɛ S = √ qd 2 y <br />
<br />
H φ µ <br />
<br />
St<br />
<br />
<br />
<br />
t µ t µ <br />
EH <br />
m µ = t µ + Ωφ µ ∈ [l], <br />
Ω t µ [l] <br />
l <br />
t µ EH AH <br />
JH <br />
δEH = κH(AH, JH)<br />
δAH + ΩH(AH, JH)δJH, <br />
8π<br />
κH ΩH <br />
<br />
<br />
EH <br />
κH ΩH [l] <br />
m µ <br />
<br />
RH <br />
<br />
m µ <br />
MH(RH, JH) = MKerr(RH, JH) =<br />
κH(RH, JH) = κKerr(RH, JH) =<br />
ΩH(RH, JH) = ΩKerr(RH, JH) =<br />
R 2 H = AH<br />
, <br />
4π<br />
R 4 H + 4J 2 H<br />
2RH<br />
R4 H − 4J 2 H<br />
2R3 <br />
4<br />
H RH + 4J 2 H<br />
2JH<br />
<br />
4<br />
RH RH + 4J 2 H<br />
, <br />
, <br />
.
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