Generalized Regge-Wheeler equation from Effective Field Theory of black hole perturbations with a timelike scalar profile

Shinji Mukohyama, Kazufumi Takahashi, Vicharit Yingcharoenrat

2022Journal of Cosmology and Astroparticle Physics32 citationsDOI

Abstract

Abstract Recently, the Effective Field Theory (EFT) of perturbations on an arbitrary background metric with a timelike scalar profile was formulated in the context of scalar-tensor theories. Here, we generalize the dictionary between the coefficients in the EFT action and those in covariant theories to accommodate shift- and reflection-symmetric quadratic higher-order scalar-tensor theories, including DHOST as well as U-DHOST. We then use the EFT action to study the dynamics of odd-parity perturbations on a static and spherically symmetric black hole background with a timelike scalar profile. Finally, we obtain the generalized Regge-Wheeler equation that can be used, e.g., to determine the spectrum of quasinormal modes and tidal Love numbers.

Topics & Concepts

PhysicsMathematical physicsScalar–tensor theoryScalar fieldScalar (mathematics)Covariant transformationQuadratic equationTensor (intrinsic definition)Context (archaeology)Effective actionClassical mechanicsTheoretical physicsGeometryBiologyMathematicsPaleontologyBlack Holes and Theoretical PhysicsPulsars and Gravitational Waves ResearchCosmology and Gravitation Theories