Equation Icon  r ∂ta = ∂r(aβ) − αaK r (27) β- 𝜃 ∂tb = r ∂r(rb) − αbK 𝜃 (28) 1 ( ∂ α) ∂tKrr − β∂rKrr = − -∂r -r-- a { a [ ] } 2 ∂r(rb) r 4π G [ 2 2 2 ] + α − ----∂r ------ + trK K r − ---2- 2 |Φ | + a V (|ϕ|) arb a[ ] a 𝜃 𝜃 --α-- ---1-- αrb- [ 𝜃 2 ] ∂tK 𝜃 − β∂rK 𝜃 = (rb)2 − a(rb)2∂r a ∂r(rb) + α trK K 𝜃 − 4π GV (|ϕ| ) . (29)