Brans-Dicke analogue of the Roberts geometry
Bardia H. Fahim, Valerio Faraoni, and Andrea Giusti
TL;DR
This paper introduces a new family of time-dependent, spherically symmetric solutions in vacuum Brans-Dicke gravity, conformally related to Roberts geometries, featuring a naked singularity and extended via symmetry transformations.
Contribution
It presents the first explicit family of inhomogeneous, time-dependent solutions in vacuum Brans-Dicke theory related to Roberts geometries, expanding the solution space.
Findings
New one-parameter family of solutions conformal to Roberts geometries
Solutions exhibit a naked central singularity
Extended to a two-parameter family using symmetry transformations
Abstract
We report a new one-parameter family of spherically symmetric, inhomogeneous, and time-dependent solutions of the vacuum Brans-Dicke field equations which are conformal to the Roberts scalar field geometries of Einstein gravity. The new solution is spherical and time-dependent and contains a naked central singularity. We use it as a seed to generate another two-parameter family of solutions using a known symmetry of vacuum Brans-Dicke gravity.
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