Gravitational aspects of a conformally coupled field theory in five space–time dimensions

Abstract
Where a field with broken symmetry is coupled to the scalar curvature of the underlying space–time, we may expect, in general, that the resulting effective Newtonian gravitational constant is dependent upon the vacuum state of the field theory. Except in regions of large space–time curvature or high temperature, physical field theories in four dimensions predict only negligible vacuum contributions to the Newtonian constant whereas in the higher-dimensional model considered here, this is not the case. We discover also that both the Newtonian and the cosmological constants may be influenced by the presence of an electromagnetic field.

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