Uniqueness of the Machian Solution in the Brans-Dicke Theory
| dc.creator | Miyazaki, A. | |
| dc.date | 2001-01-29 | |
| dc.date.accessioned | 2026-07-07T03:25:38Z | |
| dc.date.available | 2026-07-07T03:25:38Z | |
| dc.description | 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. It is shown that the Machian solution is unique for the closed and the open space. Such a solution is restricted to one that satisfies the relation $GM/c^{2}a=const$, which is fixed to $π$ in the theory for the closed model. Another type of solution satisfying $ϕ=O(ρ/ω)$ with the arbitrary coupling constant $% ω$ is obtained for the flat space. This solution has the scalar field $% ϕ\propto ρt^{2}$ and also keeps the relation $GM/c^{2}R=const$ all the time. This Machian relation and the asymptotic behavior $ϕ=O(ρ/ω)$ is equivalent to each other in the Brans-Dicke theory. | |
| dc.description | 14 pages, LaTeX2e. Submitted to Physical Review D | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0101112 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0101112 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33788 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Uniqueness of the Machian Solution in the Brans-Dicke Theory | |
| dc.type | text |