标题： 正宇宙常数黑洞的面积-角动量-电荷不等式 显示英文标题

标题： The Area-Angular Momentum-Charge Inequality for Black Holes With Positive Cosmological Constant

摘要： 我们证明了在正宇宙常数存在的情况下，稳定视界猜想的面积-角动量-电荷不等式，并且表明它恰好在极端Kerr-Newman-de Sitter视界处饱和。 与以前这类不等式的证明一样，这个证明归结为最小化一个与调和映射能量相关的“面积泛函”；在这种情况下，映射是从2球面到复双曲平面。 由于观察到该泛函沿目标空间中的测地变形是凸的，这里的证明比以前对于较少修饰的不等式的证明更为简化。 显示英文摘要

摘要： We establish the conjectured area-angular momentum-charge inequality for stable apparent horizons in the presence of a positive cosmological constant, and show that it is saturated precisely for extreme Kerr-Newman-de Sitter horizons. As with previous inequalities of this type, the proof is reduced to minimizing an `area functional' related to a harmonic map energy; in this case maps are from the 2-sphere to the complex hyperbolic plane. The proof here is simplified compared to previous results for less embellished inequalities, due to the observation that the functional is convex along geodesic deformations in the target.