Circular Cosmic String Loop in Brans-Dicke Theory

The gravitational field of a stationary circular cosmic string loop ,externally supported against collapse, is investigated in the context of Brans-Dicke theory in the weak field approximation of the field equations. The solution is quasi-conformally related to the corresponding solution in Einstein’s General Relativity(GR) and goes over to the corresponding solution in GR when the Brans-Dicke parameter $\omega$ becomes infinitely large.