Brans-Dicke geometry
Raffaele Punzi, Frederic P. Schuller, Mattias N.R. Wohlfarth
TL;DR
This paper uncovers a non-metric geometric framework underlying the omega-->0 Brans-Dicke theory, demonstrating its compatibility with solar system tests by unifying the metric and scalar field into a single structure.
Contribution
It introduces a novel non-metric geometric interpretation of Brans-Dicke theory that aligns with experimental constraints, contrasting with traditional metric coupling approaches.
Findings
The non-metric geometry is consistent with solar system tests.
Unification of metric and scalar field into a single structure is feasible.
Standard metric coupling violates post-Newtonian constraints.
Abstract
We reveal the non-metric geometry underlying omega-->0 Brans-Dicke theory by unifying the metric and scalar field into a single geometric structure. Taking this structure seriously as the geometry to which matter universally couples, we show that the theory is fully consistent with solar system tests. This is in striking constrast with the standard metric coupling, which grossly violates post-Newtonian experimental constraints.
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