Black holes in new massive conformal gravity

2019/07/31 by Yun Soo Myung, De-Cheng Zou
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Conformal gravity #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #General relativity #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum gravity #Quantum mechanics #Ricci curvature #Ricci decomposition #Riemann curvature tensor #Schwarzschild metric #Weyl tensor #Weyl transformation #f(R) gravity #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.100.064057

published as Phys. Rev. D 100, 064057 (2019) · 17 pages, 3 figures, title changed, version to appear in PRD

arxiv created 2019/09/16 · openalex publication_date 2019/09/27 · arxiv updated 2019/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

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