Dragging effect on the inertial frame and the contribution of matter to the gravitational ''constant'' in a closed cosmological model of the Brans-Dicke theory

Journal Article · Tue May 15 00:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.19.2861· OSTI ID:6216363

Miyazaki, A

The perturbation by a spherical rotating shell is investigated in a closed homogeneous and isotropic cosmological model of the Brans-Dicke theory to first order in an angular velocity of the shell. This model has a negative coupling parameter of the scalar field and satisfies the relation G (t) M/c/sup 2/a (t) = ..pi... The inertial frame at the origin is dragged completely with the same angular velocity when the rotating shell covers the whole universe. By a similar perturbation method, the distance dependence of the contribution from matter to the scalar field at the origin is obtained in this model. The contribution from nearby matter is negative because of the negative coupling constant, but the contribution from the whole universe is positive. The gravitational ''constant'' is almost determined by matter in the distant region.

• Research Organization: Department of Physics, Nagoya University, Nagoya, Japan
• OSTI ID: 6216363
• Journal Information: Phys. Rev., D; (United States), Vol. 19:10
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL MODELS
GRAVITATIONAL FIELDS
ANGULAR VELOCITY
COUPLING CONSTANTS
GENERAL RELATIVITY THEORY
GRAVITATIONAL COLLAPSE
MATTER
MINKOWSKI SPACE
MOMENT OF INERTIA
PERTURBATION THEORY
SCALAR FIELDS
SCHWARZSCHILD RADIUS
UNIVERSE
FIELD THEORIES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
SPACE
VELOCITY
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657003 - Theoretical & Mathematical Physics- Relativity & Gravitation