Effective field theory of black hole perturbations with timelike scalar profile: formulation

Shinji Mukohyama, Vicharit Yingcharoenrat

2022Journal of Cosmology and Astroparticle Physics34 citationsDOI Open Access PDF

Abstract

Abstract We formulate the Effective Field Theory (EFT) of perturbations within scalar-tensor theories on an inhomogeneous background. The EFT is constructed while keeping a background of a scalar field to be timelike , which spontaneously breaks the time diffeomorphism. We find a set of consistency relations that are imposed by the invariance of the EFT under the 3d spatial diffeomorphism. This EFT can be generically applied to any inhomogeneous background metric as long as the scalar profile is everywhere timelike. For completeness, we report a dictionary between our EFT parameters to those of Horndeski theories. Finally, we compute background equations for a class of spherically symmetric, static black hole backgrounds, including a stealth Schwarzschild-de Sitter solution.

Topics & Concepts

PhysicsDiffeomorphismScalar fieldScalar (mathematics)Mathematical physicsTheoretical physicsBlack hole (networking)Anti-de Sitter spaceDe Sitter universeEffective field theoryClassical mechanicsQuantum mechanicsUniverseMathematical analysisGeometryRouting (electronic design automation)Computer networkRouting protocolMathematicsLink-state routing protocolComputer scienceBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesPulsars and Gravitational Waves Research