Answer Happy

Einstein inferred that the two tensors should be proportional and wrote Gaß = КТар (1.17) k being a coupling constant to be determined through the assumption that the field equations should reduce to the Poisson equation v20(x) = 47 Gu(x) = (1.18)

[Ex.5] Show that one can rewrite the EFEs (1.17) as Raß = K (Taß - {Tgas) (1.51) and that for a perfect fluid, Raß =K (+p/c2) ua ug + (1 – p/c2) cgaß (1.52)