Gravitational Plane Waves in a Non-Riemannian Description of Brans-Dicke Gravity
General Relativity and Quantum Cosmology
2020-03-27 v2
Abstract
The variational field equations of Brans-Dicke scalar-tensor theory of gravitation are given in a non-Riemannian setting in the language of exterior differential forms over 4-dimensional spacetime. The class of pp-wave metrics together with the Brans-Dicke scalar field are used to derive the geodesic and autoparallel equations of motion for non-spinning test masses in Brinkmann and Rosen coordinates. The effects of the gradient of the scalar field on the auto-parallel equations of motion and Jacobi deviation equation are discussed.
Keywords
Cite
@article{arxiv.1904.11209,
title = {Gravitational Plane Waves in a Non-Riemannian Description of Brans-Dicke Gravity},
author = {Tekin Dereli and Yorgo Senikoglu},
journal= {arXiv preprint arXiv:1904.11209},
year = {2020}
}