= = We can write the Robertson-Walker metric in the form, ds2 = dt? – ev(r,t) (dr2 + r2d02 + ra sin’dø2) with v(r, t) =

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We Can Write The Robertson Walker Metric In The Form Ds2 Dt Ev R T Dr2 R2d02 Ra Sin Do2 With V R T 1 (44.06 KiB) Viewed 36 times

= = We can write the Robertson-Walker metric in the form, ds2 = dt? – ev(r,t) (dr2 + r2d02 + ra sin’dø2) with v(r, t) = f(r) + g(t) Now show that the Robertson-Walker field equations can be written as XTº = -e-v(rit) (f" + + 2f) + 3ģa – A XT} = -e-v(5:6) + +ğ + 92 - A XT} = -e-Mr.1) ( + ) +9+2 - 1 = xT} vrst*" f' ġġ– A :2 4 4 = + 4 r = 2r