Nonlinear definition of the shadowy mode in higher-order scalar-tensor theories

被引：23
|
作者：
De Felice, Antonio [1 ]
Mukohyama, Shinji [1 ,2 ]
Takahashi, Kazufumi [1 ]
机构：
[1] Kyoto Univ, Ctr Gravitat Phys, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
[2] Univ Tokyo, Kavli Inst Phys & Math Universe WPI, Chiba 2778583, Japan
来源：
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS | 2021年 / 12期
基金：
日本学术振兴会;
关键词：
modified gravity; Cosmological perturbation theory in GR and beyond;
D O I：
10.1088/1475-7516/2021/12/020
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We study U-DHOST theories, i.e., higher-order scalar-tensor theories which are degenerate only in the unitary gauge and yield an apparently unstable extra mode in a generic coordinate system. We show that the extra mode satisfies a three-dimensional elliptic differential equation on a spacelike hypersurface, and hence it does not propagate. We clarify how to treat this "shadowy" mode at both the linear and the nonlinear levels.
引用
收藏
页数：16
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