Weak cosmic censorship with $SU(2)$ gauge field and bound on charge-to-mass ratio

Yan Song; Si-Yuan Cui; Yong-Qiang Wang

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arXiv · 2207.11703

Weak cosmic censorship with $SU(2)$ gauge field and bound on charge-to-mass ratio

Yan Song·Si-Yuan Cui·Yong-Qiang Wang

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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 $SU(2)$ 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 $\phi$ component of $SU(2)$ gauge field, we can argue that there is a minimum value $q_W$, when the charge carried by the $\phi$ 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.

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Yan Song, Si-Yuan Cui, Yong-Qiang Wang. 2022-07-24. Weak cosmic censorship with $SU(2)$ gauge field and bound on charge-to-mass ratio. https://arxiv.org/abs/2207.11703

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