Scalar Perturbations and Conformal Transformation
Julio C. Fabris, Joel Tossa
TL;DR
This paper explores how scalar perturbations in non-minimally coupled gravity models can be related through conformal transformations, analyzing the effects on perturbation calculations in cosmological backgrounds.
Contribution
It provides a method to connect perturbation results before and after conformal transformation in scalar-tensor theories of gravity.
Findings
Perturbation results are consistent across conformal frames.
The analysis is performed in the synchronous gauge.
Implications for different formalisms are discussed.
Abstract
The non-minimal coupling of gravity to a scalar field can be transformed into a minimal coupling through a conformal transformation. We show how to connect the results of a perturbation calculation, performed around a Friedmann-Robertson-Walker background solution, before and after the conformal transformation. We work in the synchronous gauge, but we discuss the implications of employing other formalisms.
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Taxonomy
TopicsScientific Research and Discoveries · Elasticity and Wave Propagation · Geophysics and Gravity Measurements