A. Miyazaki

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gr-qc2001

Varying Cosmological Constant and the Machian Solution in the Generalized Scalar-Tensor Theory

A. Miyazaki

The cosmological constant $(1/2) λ_{1} ϕ_{, μ} ϕ^{, μ} / ϕ^{2}$ is introduced to the generalized scalar-tensor theory of gravitation with the coupling function $ω (ϕ) = η / (ξ - 2)$ and the Ma…

gr-qc2001

Time-Variation of the Gravitational Constant and the Machian Solution in the Brans-Dicke Theory

A. Miyazaki

The Machian cosmological solution satisfying $ϕ = O (ρ / ω)$ for the perfect-fluid with negative pressure is discussed. When the coefficient of the equation of state $γ \to - 1/3$ , the gr…

gr-qc2001

Machian Cosmological Solution in the Generalized Scalar-Tensor Theory of Gravitation

A. Miyazaki

The Machian cosmological solution satisfying $ϕ = O (ρ / ω)$ is discussed for the homogeneous and isotropic universe with a perfect fluid (with negative pressure) in the generalized sca…

gr-qc2001

Uniqueness of the Machian Solution in the Brans-Dicke Theory

A. Miyazaki

Machian solutions of which the scalar field exhibits the asymptotic behavior $ϕ = O (ρ / ω)$ are generally explored for the homogeneous and isotropic universe in the Brans-Dicke theory.…