Machian Cosmological Solution in the Generalized Scalar-Tensor Theory of Gravitation
| dc.creator | Miyazaki, A. | |
| dc.date | 2001-02-26 | |
| dc.date.accessioned | 2026-07-07T03:25:43Z | |
| dc.date.available | 2026-07-07T03:25:43Z | |
| dc.description | 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 scalar-tensor theory of gravitation. We propose $ω(ϕ)=η/(ξ-2)$ for the coupling function in the Machian point of view. The parameter $ξ$ varies in time very slowly from $ξ=0$ to $ξ=2$ because of the physical evolution of matter in the universe. When $ξ\to 2$, the coupling function diverges to $-\infty$ and the scalar field $ϕ$ converges to $G_{\infty}^{-1}$. The present mass density is precisely predicted if the present time of the universe is given. We obtain $ρ_{0}=1.6\times 10^{-29} g.cm^{-3}$ for $t_{0}=1.5\times 10^{10} yr$. The universe shows the slowly decelerating expansion for the time-varying coupling function. | |
| dc.description | 11 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0102105 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0102105 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33822 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Machian Cosmological Solution in the Generalized Scalar-Tensor Theory of Gravitation | |
| dc.type | text |