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

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dc.creatorMiyazaki, A.
dc.date2001-03-01
dc.date.accessioned2026-07-07T03:25:44Z
dc.date.available2026-07-07T03:25:44Z
dc.descriptionThe 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 Machian cosmological solution satisfying $ϕ=O(ρ/ω)$ is discussed for the homogeneous and isotropic universe with a perfect fluid (with negative pressure). We require the closed model and the negative coupling function for the attractive gravitational force. The constraint $% ω(ϕ)<-3/2$ for $0\leqq ξ<2$ leads to $η>3$. If $λ_{1}<0$ and $0\leqq -η/λ_{1}<2$, the universe shows the slowly accelerating expansion. The coupling function diverges to $-\infty $ and the scalar field $ϕ$ converges to $G_{\infty}^{-1}$ when $ξ\to 2$ ($t\to +\infty $). The cosmological constant decays in proportion to $t^{-2}$. Thus the Machian cosmological model approaches to the Friedmann universe in general relativity with $\ddot{a}=0$, $λ=0$, and $p=-ρ/3$ as $t\to +\infty $. General relativity is locally valid enough at present.
dc.description10 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/gr-qc/0103003
dc.identifierhttp://arxiv.org/abs/gr-qc/0103003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33827
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleVarying Cosmological Constant and the Machian Solution in the Generalized Scalar-Tensor Theory
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