Black holes in massive conformal gravity

Abstract

We analyze the classical stability of Schwarzschild black hole in massive conformal gravity which was recently proposed for another massive gravity model. This model in the Jordan frame is conformally equivalent to the Einstein-Weyl gravity in the Einstein frame. The coupled linearized Einstein equation is decomposed into the traceless and trace equation when one chooses $6m^2\phi =\delta R$. Solving the traceless equation exhibits unstable modes featuring the Gregory-Laflamme $s$-mode instability of five-dimensional black string, while we find no unstable modes when solving the trace equation. It is shown that the instability of the black hole in massive conformal gravity arises from the massiveness where the geometry of extra dimension trades for mass.

1+15 pages, 1 figure, Eq.(18) corrected

References in corpus (12)

• Resummation of Massive Gravity
• Black Holes in Higher-Derivative Gravity
• Einstein Gravity from Conformal Gravity
• Black Holes in Bi-scalar Extensions of Horndeski Theories
• Fourth order Weyl gravity
• Stability of f(R) black holes
• Self tuning scalar tensor black holes
• Superluminal Propagation and Acausality of Nonlinear Massive Gravity
• On Dynamics of Brans--Dicke Theory of Gravitation
• Spontaneous breaking of conformal invariance, solitons and gravitational waves in theories of conformally invariant gravitation
• Black hole stability in Jordan and Einstein frames
• New massive conformal gravity

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• Black holes in new massive conformal gravity
• Black hole stability in Jordan and Einstein frames
• Scale-invariant power spectra from a Weyl-invariant scalar-tensor theory
• Scale-invariant spectrum of Lee-Wick model in de Sitter spacetime
• Primordial gravitational waves from conformal gravity
• Comment on Quantum Massive Conformal Gravity
• New massive conformal gravity