79,673 research outputs found

    Instability of small AdS black holes in sixth-order gravity

    Full text link
    We investigate the stability analysis of AdS black holes in the higher dimensional sixth-order gravity. This gravity is composed of Ricci cubic gravity and Lee-Wick term. It indicates that the Ricci tensor perturbations exhibit unstable modes for small AdS black holes in Ricci cubic gravity by solving the Lichnerowicz-type linearized equation. We show that the correlated stability conjecture holds for the AdS black hole by computing all thermodynamic quantities in Ricci cubic gravity. Furthermore, we find a newly non-AdS black hole in Ricci cubic gravity by making use of a static eigenfunction of the Lichnerowicz operator.Comment: 27 pages, 4 figures. arXiv admin note: text overlap with arXiv:1801.0462

    Instability of Reissner-Nordstr\"{o}m black hole in Einstein-Maxwell-scalar theory

    Full text link
    The scalarization of Reissner-Nordstr\"{o}m black holes was recently proposed in the Einstein-Maxwell-scalar theory. Here, we show that the appearance of the scalarized Reissner-Nordstr\"{o}m black hole is closely related to the Gregory-Laflamme instability of the Reissner-Nordstr\"{o}m black hole without scalar hair.Comment: 22 pages, 10 figures, version to appear in EPJ

    Stability of scalarized charged black holes in the Einstein-Maxwell-Scalar theory

    Full text link
    We analyze the stability of scalarized charged black holes in the Einstein-Maxwell-Scalar (EMS) theory with quadratic coupling. These black holes are labelled by the number of n=0,1,2,n=0,1,2,\cdots, where n=0n=0 is called the fundamental black hole and n=1,2,n=1,2,\cdots denote the nn-excited black holes. We show that the n=0n=0 black hole is stable against full perturbations, whereas the n=1,2n=1,2 excited black holes are unstable against the s(l=0)s(l=0)-mode scalar perturbation. This is consistent with the EMS theory with exponential coupling, but it contrasts to the n=0n=0 scalarized black hole in the Einstein-Gauss-Bonnet-Scalar theory with quadratic coupling. This implies that the endpoint of unstable Reissner-Nordstr\"{o}m black holes with α>8.019\alpha>8.019 is the n=0n=0 black hole with the same qq. Furthermore, we study the scalarized charged black holes in the EMS theory with scalar mass mϕ2=α/βm^2_\phi=\alpha/\beta.Comment: 23 pages, 11 figures. arXiv admin note: text overlap with arXiv:1812.0360
    corecore