Cosmology. To find the cosmological dynamics, I restrict to a flat, homogeneous, and isotropic metric in proper time (N = 1). I also assume that β does not depend on the minimally coupled scalar field φ for the sake of simplicity. From (3.37), I find the ▇▇▇▇▇▇▇▇▇ equation, which can be written in two equivalent forms, R R 2 β 2 R ψ2 + H (ω H + ω′ ψ˙) = 1 ( ωψ ψ˙2 + ωφ φ˙2 + σ √|β| U ) , (3.38a) ( 1 ′ ˙)2 1 [ 1 ( ωRH + ωRψ = ωRωψ + |β| U 3 ′ ) ˙ ωRωφ √ ] R φ˙2 + σβωR
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