2011/03/31 by Yun Soo Myung, Taeyoon Moon, Edwin J. Son
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.83.124009
published as Phys.Rev.D83:124009,2011 · 16 pages, no figures, version to appear in Physical Review D
arxiv created 2011/05/18 · openalex publication_date 2011/06/02 · arxiv updated 2011/06/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We investigate the stability of an f(R) (Schwarzschild) black hole obtained from the f(R) gravity. It is difficult to carry out the perturbation analysis around the black hole because the linearized Einstein equation is fourth order in f(R) gravity. In order to resolve this difficulty, we transform f(R) gravity into the scalar-tensor theory by introducing two auxiliary scalars. In this case, the linearized curvature scalar becomes a scalaron, showing that all linearized equations are second order, which are the same equations for the massive Brans-Dicke theory. It turns out that the f(R) black hole is stable against the external perturbations if the scalaron does not have a tachyonic mass.