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arXiv 1004.4633hep-thgr-qchep-ph
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盒子中的黑洞:朝向AdS中黑洞的数值演化

Black holes in a box: towards the numerical evolution of black holes in AdS

Helvi Witek, Vitor Cardoso, Carlos Herdeiro, Andrea Nerozzi, Ulrich Sperhake, Miguel Zilhao

摘要:

黑洞在“禁闭箱”中的演化是有趣的,原因有很多,特别是因为它模仿了反德西特几何的全局结构。这些都是非全局双曲时空和柯西问题可能只有很好地定义,如果初始数据是补充的边界条件在类时共形边界。在这里,我们探讨了积极的作用,边界条件发挥的整体黑洞系统的演化,通过将一个黑洞二元在一个盒子与镜像边界条件。我们能够遵循合并后的动力学最多两个反射的边界的引力辐射在合并中产生的。我们估计,大约15%的辐射能量被吸收的黑洞的相互作用,而角动量的转移从辐射到黑洞中只观察到在第一次相互作用。我们讨论了这个结果的超辐射散射的可能作用。与带外边界条件的研究不同,Newman-Penrose标量ε_4和ε_0在我们的设置中都是非平凡的,并且我们表明数值数据验证了它们之间的预期关系。

英文摘要:

The evolution of black holes in "confining boxes" is interesting for a number of reasons, particularly because it mimics the global structure of Anti-de Sitter geometries. These are non-globally hyperbolic space-times and the Cauchy problem may only be well defined if the initial data is supplemented by boundary conditions at the time-like conformal boundary. Here, we explore the active role that boundary conditions play in the evolution of a bulk black hole system, by imprisoning a black hole binary in a box with mirror-like boundary conditions. We are able to follow the post-merger dynamics for up to two reflections off the boundary of the gravitational radiation produced in the merger. We estimate that about 15% of the radiation energy is absorbed by the black hole per interaction, whereas transfer of angular momentum from the radiation to the black hole is only observed in the first interaction. We discuss the possible role of superradiant scattering for this result. Unlike the studies with outgoing boundary conditions, both the Newman-Penrose scalars Ψ_4 and Ψ_0 are non-trivial in our setup, and we show that the numerical data verifies the expected relations between them.

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