On the Green's Function in an Expanding Universe and Its Role in the Problem of Mach's Principle
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In view of an equal qualification of Brans and Dicke's gravitational theory to Einstein's general theory of relativity on an experimental level, the problem of Mach's principle, fundamental in the former theory, is studied by the use of the retarded bi-scalar Green's function for their inertial field φ in a homogeneous and isotropic universe. After deriving concretely the relevant Green's function, we show that Brans and Dicke's cosmology is compatible with their stipulation of Mach's principle, with some proviso about the radiation universe in which the trace of the energy-momentum tensor is vanishing.
- 理論物理学刊行会の論文
- 1968-07-25
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