论文标题
弱宇宙审查制度,具有自相互作用的标量,并绑定到电荷与质量比
Weak cosmic censorship with self-interacting scalar and bound on charge to mass ratio
论文作者
论文摘要
我们研究了爱因斯坦 - 马克斯韦理论的模型,分别由四分之一和he毒素耦合参数,分别由$λ$和$β$标记。在缺乏标量场的情况下,有一类反对宇宙审查制度的反例。转向多,我们研究了具有非零标量场的完整非线性溶液的性质,并认为,通过假设大量带电的自相互作用标量字段具有足够大的电荷高于一个特定绑定的大电荷,可以删除这些反例。特别是,这种自我相互作用标量场的收费不再等于自由标量案例的弱重力。在四分之一的情况下,界限低于$λ<0 $的自由标量案例,而在$λ> 0 $的自由标量案例上方。同时,在较大的情况下,对于$β> 0 $和$β<0 $,边界都高于自由标量案例。
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 $β<0$.