Black holes in new massive conformal gravity

De-Cheng Zou; Yun Soo Myung

Black holes in new massive conformal gravity

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arxiv 1907.09676 v2 pith:A4VVUIBV submitted 2019-07-23 gr-qc hep-th

Yun Soo Myung , De-Cheng Zou This is my paper · ORCID

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abstract

We investigate the black holes in the new massive conformal gravity which is not invariant under conformal transformations because of the presence of the Einstein-Hilbert term. First, we show that the small Schwarzschild black hole is unstable against the $s$-mode of linearized Ricci tensor by solving the Lichnerowicz-Ricci tensor equation. This instability induces the appearance of the non-BBMB (Bocharova-Bronnikov-Melnikov-Bekenstein) black hole that has both Ricci tensor and conformal scalar hair.

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