Black hole stability in Jordan and Einstein frames

Abstract

We investigate the classical stability of Schwarzschild black hole in Jordan and Einstein frames which are related by the conformal transformations. For this purpose, we introduce two models of the Brans-Dicke theory and Brans-Dicke-Weyl gravity in Jordan frame and two corresponding models in the Einstein frame. The former model is suitable for studying the massless spin-2 graviton propagating around the Schwarzschild black hole, while the later is designed for the massive spin-2 graviton propagating around the black hole. It turns out that the black hole (in)stability is independent of the frame which shows that the two frames are equivalent to each other.

1+15 pages, 1 figure, version to appear in PRD

References in corpus (5)

• Stability of f(R) black holes
• On Dynamics of Brans--Dicke Theory of Gravitation
• Black holes in massive conformal gravity
• On Topologically Massive Spin-2 Gauge Theories beyond Three Dimensions
• Massive conformal gravity

Cited by in corpus (9)

• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• Non-singular Brans-Dicke collapse in deformed phase space
• Black holes in new massive conformal gravity
• Black holes in massive conformal gravity
• Dynamical probe of thermodynamical properties in three-dimensional hairy AdS black holes
• Stability issues of black hole in non-local gravity
• Black branes in four-dimensional conformal equivalent theories
• New massive conformal gravity