Some cylindrically symmetric vacuum solutions of Brans-Dicke scalar fields in Robertson-Walker universe

TL;DR

This paper derives exact cylindrically symmetric vacuum solutions for Brans-Dicke scalar fields in a Robertson-Walker universe, extending previous work and analyzing their physical and kinematical properties.

Contribution

It provides generalized solutions to the Brans-Dicke vacuum equations with cylindrical symmetry, building upon and extending earlier solutions by Rao et al.

Findings

New exact solutions for Brans-Dicke vacuum fields

Analysis of physical and kinematical behaviors of solutions

Potential applications in cosmological modeling

Abstract

The problem of cylindrically symmetric vacuum solutions of Brans-Dicke scalar fields has been studied. Exact solutions have been obtained for the vacuum B-D field equations for the cylindrically symmetric Einstein-Rosen metric. The solutions obtained in the present work are generalized solutions of the problem which has been studied by Rao et al. (Annals of Physics, Vol. 87, 1974).The physical and kinematical behaviors of the solutions relevant to conformal space is also discussed in details, these solutions will be beneficial in solving the problems for investigating the different model of our universe.