Weak cosmic censorship conjecture in Einstein-Born-Infeld black holes

Abstract

Recently, Sorce and Wald have suggested a new version of the gedanken experiments to overspin or overcharge the Kerr-Newman black holes in Einstein-Maxwell gravity. Following their setup, in this paper, we investigate the weak cosmic censorship conjecture (WCCC) in the static Einstein-Born-Infeld black holes for the Einstein gravity coupled to nonlinear electrodynamics. First of all, we derive the first two order perturbation inequalities of the charged collision matter in the Einstein-Born-Infeld gravity based on the Iyer-Wald formalism as well as the null energy conditions of the matter fields and show that they share the same form as these in Einstein-Maxwell gravity. As a result, we find that the static Einstein-Born-Infeld black holes cannot be overcharged under the second-order approximation after considering these inequalities. Our result at some level hints at the validity of the weak cosmic censorship conjecture for string theory.

Weak cosmic censorship conjecture for the novel 4D charged Einstein–Gauss–Bonnet black hole with test scalar field and particle

“…Recently, 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. 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].…”

Five-dimensional charged rotating minimally gauged supergravity black hole cannot be over-spun and/or over-charged in non-linear accretion

“…The same conclusion was also obtained for Kerr-AdS black holes [37]. Following [36], a variety of work has been done as regards non-linear perturbations [38][39][40][41][42] reinforcing the result that a black hole cannot be over-charged/spun and the horizon cannot be destroyed. Furthermore, the same analysis has been done in higher dimension [43] as well, showing that a five-dimensional Myers-Perry rotating black hole [44] though could be overspun at linear order but when second order perturbations are taken into account the situation reverses-no overspinning is allowed and WCCC is restored.…”

Testing the weak cosmic censorship conjecture for a Reissner–Nordström–de Sitter black hole surrounded by perfect fluid dark matter

“…It turns out that this thought experiment can only provide the correct result if the black hole could be overcharged/spun. In this context, the WCCC cannot be violated all through for non-linear order [41,[49][50][51][52][53][54][55]. Further the same analysis has been extended to higher dimensional black holes.…”