Comments on Penrose inequality with angular momentum for outermost apparent horizons
Comments on Penrose inequality with angular momentum for outermost apparent horizons
复制标题
对最外视视界角动量彭罗斯不等式的评论
DOI：
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发表时间：
2018
影响因子：
3.5
通讯作者：
Pablo Anglada
中科院分区：
文献类型：
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作者：
Pablo Anglada
在最近的一项工作中，我们证明了轴对称时空中具有角动量的彭罗斯不等式的弱版本，适用于紧凑且连通的最小表面。在之前的工作中，我们沿逆平均曲率流使用两个表面上 Geroch 能量的单调性，并根据面积、角动量和最小表面尺寸的特定度量获得了 ADM 质量的下界。在目前的工作中，使用类似的技术和相同的尺寸测量，我们扩展并改进了先前的结果，以获得紧凑且相连的最外视地平线。对于这种情况，我们沿着逆平均曲率流使用霍金能量的单调性，而不是格罗赫能量，并假设外在曲率的不同条件。这种关系构成了评估宇宙审查猜想的重要考验。
In a recent work we have proved a weaker version of the Penrose inequality with angular momentum, in axially symmetric space-times, for a compact and connected minimal surface. In this previous work we use the monotonicity of Geroch energy on two-surfaces along the inverse mean curvature flow and we obtain a lower bound for the ADM mass in terms of the area, the angular momentun and a particular measure of size of the minimal surface. In the present work, using similar techniques and the same measure of size, we extend and improve the previous result for a compact and connected outermost apparent horizon. For this case we use the monotonicity of Hawking energy, instead of Geroch energy, along the inverse mean curvature flow, and assume different conditions on the extrinsic curvature. This type of relations constitutes an important test to evaluate the cosmic censorship conjecture.