Two new approaches to the anomalous limit of Brans-Dicke theory to Einstein gravity

被引:9
作者
Faraoni, Valerio [1 ,2 ]
Cote, Jeremy [1 ]
机构
[1] Bishops Univ, Dept Phys & Astron, 2600 Coll St, Sherbrooke, PQ J1M 1Z7, Canada
[2] Bishops Univ, STAR Res Cluster, 2600 Coll St, Sherbrooke, PQ J1M 1Z7, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
SCALAR-TENSOR THEORIES; GENERAL-RELATIVITY; COSMOLOGICAL MODELS; ASYMPTOTIC SOLUTIONS; MACHS PRINCIPLE; FIELDS; ACCELERATION; SPACETIMES; ATTRACTOR; CONSTANT;
D O I
10.1103/PhysRevD.99.064013
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Contrary to common belief, (electro)vacuum Brans-Dicke gravity does not reduce to general relativity for large Brans-Dicke coupling omega, 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 omega -> infinity 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.
引用
收藏
页数:11
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