Exact solutions of the angular Teukolsky equation for particular cases
Exact solutions of the angular Teukolsky equation for particular cases
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DOI：
10.1016/j.rinp.2021.104115
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发表时间：
2020-04
期刊：
影响因子：
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通讯作者：
Chang-Yuan Chen;Y. You;Xiao‐Hua Wang;F. Lu;Dong-Sheng Sun;S. Dong
中科院分区：
文献类型：
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作者：
Chang-Yuan Chen;Y. You;Xiao‐Hua Wang;F. Lu;Dong-Sheng Sun;S. Dong
In this work we solve the angular Teukolsky equation in alternative way for a more general case τ≠ 0 but m= 0, s= 0. We first transform this equation to a confluent Heun differential equation and then construct the Wronskian determinant to calculate the eigenvalues and normalized eigenfunctions. We find that the eigenvalues for larger l are approximately given by 0 A l 0≈[l (l+ 1)-τ R 2/2]-i τ I 2/2 with an arbitrary τ 2= τ R 2+ i τ I 2. The angular probability distribution (APD) for the ground state moves towards the north and south poles for τ R 2> 0, but aggregates to the equator for τ R 2≤ 0. However, we also notice that the APD for large angular momentum l always moves towards the north and south poles, regardless of the choice of τ 2.
