English

Black holes in new massive conformal gravity

General Relativity and Quantum Cosmology 2019-10-02 v2 High Energy Physics - Theory

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 ss-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.

Keywords

Cite

@article{arxiv.1907.09676,
  title  = {Black holes in new massive conformal gravity},
  author = {Yun Soo Myung and De-Cheng Zou},
  journal= {arXiv preprint arXiv:1907.09676},
  year   = {2019}
}

Comments

17 pages, 3 figures, title changed, version to appear in PRD

R2 v1 2026-06-23T10:27:53.501Z