On the Green's Function in an Expanding Universe and Its Role in the Problem of Mach's Principle

Details On the Green's Function in an Expanding Universe and Its Role in the Problem of Mach's Principle On the Green's Function in an Expanding Universe and Its Role in the Problem of Mach's Principle

Jul 1968

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1968pthph..40...49n&link_type=abstract

Progress of Theoretical Physics, Vol. 40, No. 1, pp. 49-59

Physics

35

Scientific paper

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 Dick's cosmology is compatible with their stipulation of Mach's principle, with some proviso about the radiation universe in which are trace of the energy-momentum tensor is vanishing.

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