Stability of f(R) black holes

Journal Article · Wed Jun 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.124009· OSTI ID:21502725

Myung, Yun Soo ^[1]; Moon, Taeyoon; Son, Edwin J ^[2]

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1. Institute of Basic Sciences and School of Computer Aided Science, Inje University, Gimhae 621-749 (Korea, Republic of)
2. Center for Quantum Space-time, Sogang University, Seoul, 121-742 (Korea, Republic of)

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.

• OSTI ID: 21502725
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 12; Other Information: DOI: 10.1103/PhysRevD.83.124009; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
BRANES
DISTURBANCES
EINSTEIN FIELD EQUATIONS
GRAVITATION
MASS
PERTURBATION THEORY
SCHWARZSCHILD METRIC
STABILITY
TACHYONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
METRICS
POSTULATED PARTICLES