The Behavior of a Massless Scalar Field in a Closed Universe

Details The Behavior of a Massless Scalar Field in a Closed Universe The Behavior of a Massless Scalar Field in a Closed Universe

Sep 1968

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1968pthph..40..657n&link_type=abstract

Progress of Theoretical Physics, Vol. 40, No. 3, pp. 657-667

Physics

4

Scientific paper

In order to see how the propagation character of a long-range field in a closed universe depends on its topological property, the dynamical behavior of a massless scalar field in a closed universe with a definite (spherical or elliptic) topology is studied. It is shown that the difference of topology gives no serious influence upon the propagation character of the field. However, the retarded Green's fuction obtained here is superior to the one which we derived in a previous paper without taking account of the topology of the universe. In fact, we must use the former Green's function when we examine whether Brans and Dicke's world models with spherical or elliptic topology are compatible with their interpretation of Mach's principle.

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