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Black holes in massive conformal gravity · Around

2014

Black holes in massive conformal gravity

Myung, Yun Soo

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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 $6m^2\varphi=\delta R$.
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.

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