Local energy decay of massive Dirac fields in the 5D Myers–Perry metric
Local energy decay of massive Dirac fields in the 5D Myers–Perry metric
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DOI：
10.1088/0264-9381/29/14/145007
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发表时间：
2012-02
影响因子：
3.5
通讯作者：
Thierry Daudé;N. Kamran
中科院分区：
文献类型：
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作者：
Thierry Daudé;N. Kamran
我们考虑在五维迈尔斯-佩里黑洞外部区域演化的巨大狄拉克场，并研究它们的传播特性。我们的主要结果表明，这些场的局部能量在后期会以微弱的方式衰减。我们分两步得到这个结果：首先，利用狄拉克方程的可分性，证明相应的狄拉克算子不存在纯点谱；其次，使用适应黑洞局部旋转的新方程形式，我们通过莫雷理论论证表明光谱是绝对连续的。这直接导致我们的主要结果。
We consider massive Dirac fields evolving in the exterior region of a five-dimensional Myers–Perry black hole and study their propagation properties. Our main result states that the local energy of such fields decays in a weak sense at late times. We obtain this result in two steps: first, using the separability of the Dirac equation, we prove the absence of a pure point spectrum for the corresponding Dirac operator; second, using a new form of the equation adapted to the local rotations of the black hole, we show by a Mourre theory argument that the spectrum is absolutely continuous. This leads directly to our main result.