Brans-Dicke theory with the cosmological constant from M4 x Z2 geometry

Abstract

The theory on M4 x Z2 geometry is applied to the Einstein gravity to yield the Brans-Dicke theory on M4 geometry. The geometrical meaning and the relation between the curvatures and the torsions are clarified. The cosmological constant is also introduced into the pure Einstein action on M4 x Z2 in order to determine the explicit form of the cosmological term in the Brans-Dicke theory on M4 geometry.

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