Weak cosmic censorship conjecture for the novel charged Einstein-Gauss-Bonnet black hole with test scalar field and particle
arXiv:2004.07934 · doi:10.1140/epjc/s10052-020-08511-9
Abstract
Recent researches of the novel Einstein-Gauss-Bonnet (EGB) gravity have attracted great attention. In this paper, we investigate the validity of the weak cosmic censorship conjecture for a novel charged EGB black hole with test charged scalar field and test charged particle respectively. For the test charged field scattering process, we find that both extremal and near-extremal black holes cannot be overcharged. For the test charged particle injection, to first order, an extremal black hole cannot be overcharged while a near-extremal charged EGB black hole can be destroyed. To second order, however, both extremal and near-extremal charged EGB black holes can be overcharged for positive Gauss-Bonnet coupling constant; for negative Gauss-Bonnet coupling constant, an extremal black hole cannot be overcharged and the validity of the weak cosmic censorship conjecture for a near-extremal black hole depends on the Gauss-Bonnet coupling constant.
13 pages,1 figure;V2: discussions and references added; V3: published version