Abstract
Recent researches of the novel 4D 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 4D 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 4D charged EGB black hole can be destroyed. To second order, however, both extremal and near-extremal 4D 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.
Highlights
IntroductionThere are a lot of following papers inspired by the research of Glavan and Lin, such as the shadow and inner most stable circular orbits of black hole in the Einstein– Gauss–Bonnet (EGB) gravity [4,6,7,8], thin accretion disk around four-dimensional EGB black holes [9], spinning test particle in four-dimensional EGB black hole [10], gravitational lensing and bending of light [11,12,13], black hole as particle accelerator [14], black hole thermodynamics and phase transition [15,16,17,18,19], quasinormal modes and strong cosmic censorship [20,21,22], scalar field in 4D EGB black holes [23], cosmology in the EGB gravity [24], compact objects and their properties [25], the eikonal gravitational instability of asymptotically flat and (A)dS black holes [26], greybody factor and power spectra of the Hawking radiation [27,28], other black hole solutions [29,30,31,32,33,34,35,36], and related topics about higher-derivative gravity in two dimensions [37,38]
Sorce and Wald proposed a new version of the thought experiment to destroy a nearly extremal Kerr–Newman black hole at the second-order approximation of the perturbation that comes from the matter fields [44], the result shows that the event horizon of the Kerr–Newman black hole cannot be destroyed
To first order, extremal 4D charged Einstein– Gauss–Bonnet (EGB) black hole cannot be overcharged; while the event horizon of nearextremal black hole can be destroyed. Both extremal and near-extremal 4D charged EGB black hole can be destroyed for positive Gauss–Bonnet coupling constant; for negative Gauss–Bonnet coupling constant, extremal black hole cannot be overcharged and the validity of the weak cosmic censorship conjecture for nearextremal black hole depends on the value of the Gauss– Bonnet coupling constant
Summary
There are a lot of following papers inspired by the research of Glavan and Lin, such as the shadow and inner most stable circular orbits of black hole in the EGB gravity [4,6,7,8], thin accretion disk around four-dimensional EGB black holes [9], spinning test particle in four-dimensional EGB black hole [10], gravitational lensing and bending of light [11,12,13], black hole as particle accelerator [14], black hole thermodynamics and phase transition [15,16,17,18,19], quasinormal modes and strong cosmic censorship [20,21,22], scalar field in 4D EGB black holes [23], cosmology in the EGB gravity [24], compact objects and their properties [25], the eikonal gravitational instability of asymptotically flat and (A)dS black holes [26], greybody factor and power spectra of the Hawking radiation [27,28], other black hole solutions [29,30,31,32,33,34,35,36], and related topics about higher-derivative gravity in two dimensions [37,38]. Using the method of Sorce and Wald, the systematic works of Jiang et al suggest that a series of black holes cannot be destroyed [45,46,47,48,49,50,51,52,53] Another way of destroying the event horizon of a black hole to test the validity of the weak cosmic censorship conjecture is the scattering of a test classical field first proposed by Semiz [54], and further developed by others [55,56,57]. We investigate the weak cosmic censorship conjecture of a novel 4D charged EGB black hole by the scattering of a massive charged scalar field and a charged test particle in the normal phase space, respectively. 4, we check the validity of the weak cosmic censorship conjecture for extremal and near-extremal black holes by scattering of the charged scalar field.
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