Time-Variation of the Gravitational Constant and the Machian Solution in the Brans-Dicke Theory
| dc.creator | Miyazaki, A. | |
| dc.date | 2001-02-01 | |
| dc.date | 2001-03-01 | |
| dc.date.accessioned | 2026-07-07T03:25:39Z | |
| dc.date.available | 2026-07-07T03:25:39Z | |
| dc.description | 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 gravitational constant approaches to constant. If we assume the present mass density $ρ_{0}\sim ρ_{c}$ (critical density), the parameter $ε$ ($γ=(ε-1)/3$) has a value of order $10^{-3}$ to support the present gravitational constant. The closed model is valid for $ω<-3/2ε$ and exhibits the slow accelerating expansion. We understand why the coupling parameter $| ω|$ is so large ($ω\sim -10^{3}$). The time-variation of the gravitational constant $| \dot{G}/G| \sim 10^{-13} yr^{-1}$ at present is derived in this model. | |
| dc.description | 10 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0102003 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0102003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33793 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Time-Variation of the Gravitational Constant and the Machian Solution in the Brans-Dicke Theory | |
| dc.type | text |