Abstract
Abstract
We numerically construct the stationary solutions of SU(2) Einstein-Yang-Mills theory in four dimensional anti-de Sitter spacetime. When the t component of the SU(2) gauge field is taken to the only nonzero component, we construct a class of counterexamples to the weak cosmic censorship conjecture in Einstein-Maxwell theory. However, including a nonzero ϕ component of SU(2) gauge field, we can argue that there is a minimum value qW, when the charge carried by the ϕ component is larger than this minimum value, for sufficiently large boundary electric amplitude a, the original counterexamples can be removed and cosmic censorship is preserved.
Publisher
Springer Science and Business Media LLC
Reference39 articles.
1. R. Penrose, Gravitational collapse: The role of general relativity, Riv. Nuovo Cim. 1 (1969) 252 [INSPIRE].
2. R. Wald, Gedanken experiments to destroy a black hole, Annals Phys. 82 (1974) 548 [INSPIRE].
3. J. Sorce and R.M. Wald, Gedanken experiments to destroy a black hole. II. Kerr-Newman black holes cannot be overcharged or overspun, Phys. Rev. D 96 (2017) 104014 [arXiv:1707.05862] [INSPIRE].
4. S.-J. Yang et al., Weak cosmic censorship conjecture for the novel 4D charged Einstein-Gauss-Bonnet black hole with test scalar field and particle, Eur. Phys. J. C 80 (2020) 937 [arXiv:2004.07934] [INSPIRE].
5. F. Qu, S.-J. Yang, Z. Wang and J.-R. Ren, Weak cosmic censorship conjecture is not violated for a rotating linear dilaton black hole, arXiv:2008.09950 [INSPIRE].