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.
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Acknowledgments
We thank Yan-Bo Zeng and Shi-Xian Sun for helpful discussions. And we are grateful for the valuable and constructive suggestions provided by the anonymous referees, which helped improve the quality of our paper. This work is supported by National Key Research and Development Program of China (Grant No. 2020YFC2201503) and the National Natural Science Foundation of China (Grant No. 12047501). Parts of computations were performed on the shared memory system at institute of computational physics and complex systems in Lanzhou university.
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Song, Y., Cui, SY. & Wang, YQ. Weak cosmic censorship with SU(2) gauge field and bound on charge-to-mass ratio. J. High Energ. Phys. 2024, 100 (2024). https://doi.org/10.1007/JHEP01(2024)100
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DOI: https://doi.org/10.1007/JHEP01(2024)100