On the limits of Brans-Dicke spacetimes: a coordinate-free approach

TL;DR

This paper explores the behavior of Brans-Dicke spacetimes as the coupling constant approaches infinity, revealing that their limits may differ from solutions in general relativity using a coordinate-free method.

Contribution

It introduces a coordinate-free approach to analyze the limits of Brans-Dicke solutions, highlighting differences from general relativity.

Findings

Limits of some solutions do not match GR counterparts

Coordinate-free techniques provide new insights

Brans-Dicke solutions exhibit unique limiting behavior

Abstract

We investigate the limit of Brans-Dicke spacetimes as the scalar field coupling constant omega tends to infinity applying a coordinate-free technique. We obtain the limits of some known exact solutions. It is shown that these limits may not correspond to similar solutions in the general relativity theory.