Equation Icon  S a S α β γ a b γ000(u,r,Ω ) := γαβ;γ(x )e0(x)e0(x)e0(x) = 2mRa0b0 Ω Ω + O (r ), (19.66 ) γS (u,r,Ωa) := γS (x )eα(x)eβ(x)eγ(x) = − 4mR Ωc + O (r), (19.67 ) 0b0 αβ;γ 0 b 0 b0c0 γSab0(u,r,Ωa) := γSαβ;γ(x )eαa(x)eβb(x)eγ0(x) = O (r), (19.68 ) S a S α β γ γ00c(u,r,Ω ) := γαβ;γ(x[ )e0(x)e0(x)ec(x) ] ( 1 1 a b) 1 b 1 a b = − 4m -2 + -Ra0b0Ω Ω Ωc + -Rc0b0Ω − --Rca0bΩ Ω + O(r), (19.69 ) r 3 ( 6 6 ) γS0bc(u,r,Ωa) := γSαβ;γ(x )eα0(x)eβb(x)eγc(x) = 2m Rb0cdΩd + Rb0d0Ωd Ωc + O (r), (19.70 ) S a S α β γ γabc(u,r,Ω ) := γαβ;γ(x )ea(x)eb(x)ec(x) = − 4mRa0b0 Ωc + O (r), (19.71 )