标题： 非奇异黑洞在非线性电动力学中的不稳定性 显示英文标题

标题： Instability of nonsingular black holes in nonlinear electrodynamics

摘要： 我们证明，在非线性电动力学中实现的无奇点黑洞在中心附近总是容易发生拉普拉斯不稳定性，这是由于角方向上的声速平方为负值。 这种情况适用于电荷黑洞和磁荷黑洞，其中一种矢量场扰动的不稳定性会导致偶宇称部分中动态引力扰动增强。 因此，背景的规则度规不再维持在稳态中。 我们的结果表明，如果存在稳定的、具有规则中心的无奇点黑洞，则需要超越非线性电动力学的理论。 显示英文摘要

摘要： We show that nonsingular black holes realized in nonlinear electrodynamics are always prone to Laplacian instability around the center because of a negative squared sound speed in the angular direction. This is the case for both electric and magnetic BHs, where the instability of one of the vector-field perturbations leads to enhancing a dynamical gravitational perturbation in the even-parity sector. Thus, the background regular metric is no longer maintained in a steady state. Our results suggest that the construction of stable, nonsingular black holes with regular centers, if they exist, requires theories beyond nonlinear electrodynamics.