论文标题

在渐近局部双曲线指标上,负质量为负质量

On Asymptotically Locally Hyperbolic Metrics with Negative Mass

论文作者

Chruściel, Piotr T., Delay, Erwann

论文摘要

我们构建具有恒定标态曲率的渐近局部双曲线riemannian指标(即,时间对称真空的一般相对论初始数据集,具有负宇宙常数),具有明显的地平线的处方拓扑结构,并具有无限元的整形边界,并且具有受控质量。特别是我们获得了负质量的新类别解决方案。

We construct families of asymptotically locally hyperbolic Riemannian metrics with constant scalar curvature (i.e., time symmetric vacuum general relativistic initial data sets with negative cosmological constant), with prescribed topology of apparent horizons and of the conformal boundary at infinity, and with controlled mass. In particular we obtain new classes of solutions with negative mass.

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