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arXiv · 2008.02513

Weak cosmic censorship with self-interacting scalar and bound on charge to mass ratio

Yan Song·Tong-Tong Hu·Yong-Qiang Wang
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Abstract

We study the model of Einstein-Maxwell theory minimally coupling to a massive charged self-interacting scalar field, parameterized by the quartic and hexic coupling, labelled by $λ$ and $β$, respectively. In the absence of scalar field, there is a class of counterexamples to cosmic censorship. Moveover, we investigate the properties of full nonlinear solution with nonzero scalar field, and argue that, by assuming massive charged self-interacting scalar field with sufficiently large charge above one certain bound, these counterexamples can be removed. In particular, this bound on charge for self-interacting scalar field is no longer equal to the weak gravity bound for free scalar case. In the quartic case, the bounds are below free scalar case for $λ<0$, while above free scalar case for $λ>0$. Meanwhile, in the hexic case, the bounds are above free scalar case for both $β>0$ and $β<0$.

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Yan Song, Tong-Tong Hu, Yong-Qiang Wang. 2020-08-06. Weak cosmic censorship with self-interacting scalar and bound on charge to mass ratio. https://doi.org/10.1007/jhep03(2021)045

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