The Stability of Machian Cosmological Models in the Scalar-Tensor Theory of Gravitation
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概要
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The stability of Machian cosmological models to an infinitesimal perturbation of radius is discussed for the dust model in the Brans-Dicke theory, the perfect fluid model with extended (negative) pressure in the Brans-Dicke theory, and the barotropic evolution of matter with the variable coupling function ω(ψ) in the generalized scalar-tensor theory of gravitation. Permissible ranges of the coupling constant ω for the stability of individual cases are derived and the unknown parameter ω_0 of the proposed coupling function is shown to be 3. The unstability of Machian cosmological models means a violation of Machian constraints like a(t)ψ(t) = const.
- 長崎県立大学の論文
- 2006-09-30
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関連論文
- The Stability of Machian Cosmological Models in the Scalar-Tensor Theory of Gravitation
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- Varying Cosmological Constant and the Machian Solution in the Generalized Scalar-Tensor Theory of Gravitation
- Scalar Field as Dark Matter and Machian Cosmological Solution in the Generalized Scalar-Tensor Theory of Gravitation
- Uniqueness of the Machian Cosmological Solution in the Brans-Dicke Theory
- Physical Significance of the Difference between the Brans-Dicke Theory and General Relativity
- 一般相対論的重力理論の新しい基礎〔英文〕
- Brans-Dicke理論における完全流体宇宙モデル〔英文〕
- Uniqueness of the Machian Cosmological Solution in the Brans-Dicke Theory
- Physical Significance of the Difference between the Brans-Dicke Theory and General Relativity
- Simple Derivation of the Coupling Function in the Generalized Scalar-Tensor Theory of Gravitation
- Behavior of the Brans-Dicke Scalar Field in Curved Space-Time
- Varying Cosmological Constant and the Machian Solution in the Generalized Scalar-Tensor Theory of GraViation
- Scalar Field as Dark Matter and Machian Cosmokogical Solution in the Generalized Scalar-Tensor Theory of Gravitation
- 一般相対論的重力理論の新しい基礎〔英文〕
- Brans-Dicke理論における完全流体宇宙モデル〔英文〕