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γ (u,r,Ωa ) ≡ γ (x)eα(x)eβ(x )eγ(x ) = 2mR ΩaΩb + γtail + 𝒪 (r), (505 ) 000 αβ;γ 0 0 0 a0b0 000 γ0b0(u,r,Ωa ) ≡ γ αβ;γ(x)eα0(x)eβb(x )eγ0(x ) = − 4mRb0c0 Ωc + γt0abi0l+ 𝒪 (r), (506 ) a α β γ tail γab0(u,r,Ω ) ≡ γ αβ;γ(x)ea(x)eb(x )e0(x ) = 4mRa0b0 + γab0 + 𝒪 (r), (507 ) γ00c(u,r,Ωa ) ≡ γ αβ;γ(x)eα0(x)eβ0(x )eγc(x ) [( ) ] = − 4m 1-+ 1Ra0b0Ωa Ωb Ωc + 1Rc0b0Ωb − 1-Rca0bΩaΩb + γta00icl+ 𝒪 (r), (508 ) r2 3 6 6 γ (u,r,Ωa ) ≡ γ (x)eα(x)eβ(x )eγ(x ) 0bc αβ;γ( 0 b cd d ) tail = 2m Rb0c0 + Rb0cdΩ + Rb0d0Ω Ωc + γ 0bc + 𝒪 (r), (509 ) γ (u,r,Ωa ) ≡ γ (x)eα(x)eβ(x )eγ(x ) = − 4mR Ω + γtail+ 𝒪 (r), (510 ) abc αβ;γ a b c a0b0 c abc