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Effective field theory of modified gravity on the spherically symmetric background: Leading order dynamics and the odd-type perturbations
Physical Review D
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 canonicaldoi:10.1103/physrevd.90.124019 fatcat:uqjscgt2hzavfeldp3ib2vjeim