Two new approaches to the anomalous limit of Brans-Dicke to Einstein gravity
arXiv:1811.01728 · doi:10.1103/PhysRevD.99.064013
Abstract
Contrary to common belief, (electro)vacuum Brans-Dicke gravity does not reduce to general relativity for large Brans-Dicke coupling , a problem which has never been fully solved. Two new approaches, independent from each other, shed light on this issue producing the same result: in the limit an (electro)vacuum Brans-Dicke spacetime reduces to a solution of the Einstein equations sourced, not by (electro)vacuum, but by a minimally coupled scalar field. The latter is shown to coincide with the Einstein frame scalar field. The first method employs a direct analysis of the Einstein frame, while the second (complementary and independent) method uses an imperfect fluid representation of Brans-Dicke gravity together with a little known 1-parameter symmetry group of this theory.
arXiv commentExplanation and bibliography expanded, matches version published in Phys. Rev. D
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