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Given the Robertson-Walker metric in the form, ds² = dt² — e¹¹ (dr² + r²d0² + r² sin² do²) - where, μ = = μ(r,t) Compute
Posted: Wed May 04, 2022 10:26 am
by answerhappygod
- 1 (58.24 KiB) Viewed 41 times
Given the Robertson-Walker metric in the form, ds² = dt² — e¹¹ (dr² + r²d0² + r² sin² do²) - where, μ = = μ(r,t) Compute the corresponding Cristoffel Symbols and componets of the Ricci tensor, and writing explicitly the field equations given by, Rpv=-2gµvR=XTµv + Agµv μν To obtain, f12 xT0 = −e-v(r,t) (f" + £¹⁄² + ²1′) + ³ġ² − A 4 XT₁ = −e-v(r,t) (f/7² +)+g+g² - A XT² = −e-v(r,t) (f″ + £) + ÿ + ³ġ² − A = xT3