Scalar field mass in generalized gravity
Valerio Faraoni (Bishop's University)
TL;DR
This paper clarifies the ambiguous definitions of scalar field mass and range in scalar-tensor and f(R) gravity theories, proposing a physically meaningful way to define these quantities to address experimental constraints.
Contribution
It identifies and resolves the ambiguity in defining scalar field mass and range, providing a practical and physically meaningful approach.
Findings
Clarified the ambiguity in scalar field mass and range definitions.
Proposed a new, physically meaningful definition for these quantities.
Facilitates the use of scalar field mass to satisfy Solar System experimental limits.
Abstract
The notions of mass and range of a Brans-Dicke-like scalar field in scalar-tensor and f(R) gravity are subject to an ambiguity that hides a potential trap. We spell out this ambiguity and identify a physically meaningful and practical definition for these quantities. This is relevant when giving a mass to this scalar in order to circumvent experimental limits on the PPN parameters coming from Solar System experiments.
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