Collisions of unequal mass black holes and the point particle limit
Collisions of unequal mass black holes and the point particle limit
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不等质量黑洞的碰撞与点粒子极限
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Helvi Witek
中科院分区：
文献类型：
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作者：
U. Sperhake;V. Cardoso;C. Ott;E. Schnetter;Helvi Witek
数值相对论在过去几年中取得了令人难以置信的进展，并成功地应用于各种物理现象，从引力波研究和相对论天体物理学到宇宙学和高能物理学。在这里，我们通过研究不等质量、质量比高达1∶100的非旋转黑洞的碰撞，并与广义相对论中的经典计算（点状粒子落入大质量黑洞）相联系，来探索当前数值设置的局限性。我们的结果与点状粒子落入非旋转黑洞的线性计算的预测非常一致。特别地，在一个洞比另一个洞小得多的极限下，并且下落从无限初始分离开始，我们恢复了点粒子极限。因此，数值相对论能够弥合完全非线性动力学和线性近似之间的差距，这可能有重要的应用。最后，我们还评论的“杂散”辐射的内容在初始数据和线性化的预测。
Numerical relativity has seen incredible progress in the last years, and is being applied with success to a variety of physical phenomena, from gravitational wave research and relativistic astrophysics to cosmology and high-energy physics. Here we probe the limits of current numerical setups, by studying collisions of unequal mass, nonrotating black holes of mass ratios up to 1∶100 and making contact with a classical calculation in general relativity: the infall of a pointlike particle into a massive black hole. Our results agree well with the predictions coming from linearized calculations of the infall of pointlike particles into nonrotating black holes. In particular, in the limit that one hole is much smaller than the other, and the infall starts from an infinite initial separation, we recover the point-particle limit. Thus, numerical relativity is able to bridge the gap between fully nonlinear dynamics and linearized approximations, which may have important applications. Finally, we also comment on the “spurious” radiation content in the initial data and the linearized predictions.