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
相关论文
共 50 条
  • [41] Linear stability analysis of hairy black holes in quadratic degenerate higher-order scalar-tensor theories: Odd-parity perturbations
    Takahashi, Kazufumi
    Motohashi, Hayato
    Minamitsuji, Masato
    PHYSICAL REVIEW D, 2019, 100 (02)
  • [42] Junction conditions in scalar-tensor theories
    Aviles, Luis
    Maeda, Hideki
    Martinez, Cristian
    CLASSICAL AND QUANTUM GRAVITY, 2020, 37 (07)
  • [43] Stable wormholes in scalar-tensor theories
    Gabriele Franciolini
    Lam Hui
    Riccardo Penco
    Luca Santoni
    Enrico Trincherini
    Journal of High Energy Physics, 2019
  • [44] Hyperbolicity of scalar-tensor theories of gravity
    Salgado, Marcelo
    Martinez-del Rio, David
    Alcubierre, Miguel
    Nunez, Dario
    PHYSICAL REVIEW D, 2008, 77 (10):
  • [45] Connection dynamics of higher-dimensional scalar-tensor theories of gravity
    Han, Yu
    Ma, Yongge
    Zhang, Xiangdong
    MODERN PHYSICS LETTERS A, 2014, 29 (28)
  • [46] Conformal renormalization of scalar-tensor theories
    Anastasiou, Giorgos
    Araya, Ignacio J.
    Busnego-Barrientos, Mairym
    Corral, Cristobal
    Merino, Nelson
    PHYSICAL REVIEW D, 2023, 107 (10)
  • [47] Scalar-tensor theories and quantum gravity
    Shojai, F
    Shojai, A
    Golshani, M
    MODERN PHYSICS LETTERS A, 1998, 13 (36) : 2915 - 2922
  • [48] CONFORMAL INVARIANCE AND SCALAR-TENSOR THEORIES
    LORD, EA
    PRAMANA, 1975, 4 (04) : 164 - 170
  • [49] Casimir tests of scalar-tensor theories
    Brax, Philippe
    Davis, Anne-Christine
    Elder, Benjamin
    PHYSICAL REVIEW D, 2023, 107 (08)
  • [50] Scintillation in scalar-tensor theories of gravity
    Bracco, C
    Teyssandier, P
    ASTRONOMY & ASTROPHYSICS, 1998, 339 (03) : 921 - 928
12345