1979•Journal of Mathematical PhysicsRequires access

Static conformally flat solution in a scalar-tensor theory of gravitation

D. R. K. Reddy

Abstract

Vacuum field equations for the static spherically symmetric conformally flat metric are obtained in a scalar-tensor theory of gravitation proposed by Ross. It is observed that unlike in Brans–Dicke scalar-tensor theory the only spherically symmetric static conformally flat vacuum solution in this theory is simply the empty flat space–time of Einstein’s theory.

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Key concepts: Scalar–tensor theory, Scalar theories of gravitation, Einstein tensor, Physics, Gravitation, Mathematical physics, Classical field theory, Scalar (mathematics)