Effective field theory of modified gravity on the spherically symmetric background: Leading order dynamics and the odd-type perturbations

Ryotaro Kase, László A. Gergely, Shinji Tsujikawa

研究成果: Article査読

29 被引用数 (Scopus)

抄録

We consider perturbations of a static and spherically symmetric background endowed with a metric tensor and a scalar field in the framework of the effective field theory of modified gravity. We employ the previously developed 2+1+1 canonical formalism of a double Arnowitt-Deser-Misner (ADM) decomposition of space-time, which singles out both time and radial directions. Our building block is a general gravitational action that depends on scalar quantities constructed from the 2+1+1 canonical variables and the lapse. Variation of the action up to first order in perturbations gives rise to three independent background equations of motion, as expected from spherical symmetry. The dynamical equations of linear perturbations follow from the second-order Lagrangian after a suitable gauge fixing. We derive conditions for the avoidance of ghosts and Laplacian instabilities for the odd-type perturbations. We show that our results not only incorporate those derived in the most general scalar-tensor theories with second-order equations of motion (the Horndeski theories) but they can be applied to more generic theories beyond Horndeski.

本文言語English
論文番号124019
ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
90
12
DOI
出版ステータスPublished - 2014 12月 5
外部発表はい

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学
  • 物理学および天文学(その他)

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