(2,5) Given the following form for stress-energy tensor: T₁ = T² = T3 = -P and To = p == Show that the following equatio
Posted: Wed May 04, 2022 1:13 pm
(2,5) Given the following form for stress-energy tensor: T₁ = T² = T3 = -P and To = p == Show that the following equations f12 3 XT = −e-v(rit) (p² + 5/²² + 21') + ³/9² - 1 (f" 4 r ƒ' 3 XT₁¹ = e-v(r,t) ( f¹² + +ÿ+-ġ² - 1 4 r 3 XT² = −e=v(r;t) { f" f' 2 2r + -) +ġ+ =ġ² − A = xT³ can be rewritten in terms of scale-factor like, R R² K XP = = -2- R R² R² 3 XP = (R² + K) - A R² Remembering that, K K = (-1,0,1) → e¯ƒ(") (¹7² + 4) = R2 and R(t)² = Rze9(t) 4° +1