高维Kerr度规中Boson的束缚态

The Boson Bound States in the Higher Dimensional Kerr Metric

本文利用分离变量方法得到了在高维Kerr度规中玻色子径向波函数方程,由此讨论了在高维Kerr黑洞周围玻色子的束缚态。结果表明,高维Kerr黑洞与玻色子不能形成量子束缚态,这一结论与玻色子有无质量无关。

The radial wave function equation of bosons in higher dimensional Kerr metric is ob- tained with the separation of variables. The boson bound states around higher dimensional Kerr black hole are discussed. It is found the boson bound states do not exist in higher di- mensional Kerr geometry. This conclusion is independent with the boson mass.