Gravitational Plane Waves in a Non-Riemannian Description of Brans-Dicke Gravity
arXiv:1904.11209 · doi:10.1088/1402-4896/ab6eb7
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.
References in corpus (12)
- Geodesic deviation, Raychaudhuri equation, and tidal forces in modified gravity with an arbitrary curvature-matter coupling
- Black Holes with Weyl Charge and Non-Riemannian Waves
- Relativistic Epicycles : another approach to geodesic deviations
- Gravitational waves in Poincaré gauge gravity theory
- Astrophysical science metrics for next-generation gravitational-wave detectors
- On the Detection of Scalar Field Induced Spacetime Torsion
- Generalized deviation equation and determination of the curvature in General Relativity
- Gravity, Gauges and Clocks
- Autoparallel orbits in Kerr Brans-Dicke spacetimes
- On Integrability of the Geodesic Deviation Equation
- Spinning particles in scalar-tensor gravity
- Deviation equation in Riemann-Cartan spacetime