Our assumptions force α = i and the time (0) derivatives to be zero. So this simplifies to 2 Φ Φ , i ≈ ≈ g i j ( − − g 00 , j ) ≈ ≈ − − g 00 , i which is satisfied by letting g 00 ≈ ≈ − − c 2 − − 2 Φ Φ .