Review Article

A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method

Table 12

Spin-2 angular separation constants and Kerr gravitational quasinormal frequencies for the fundamental mode corresponding to and compared with the CFM [6] ( ).


0 (4.0000, 0.0000) (4.0000, 0.0000) (<0.01%)(<0.01%) (0.7473, −0.1779) (0.7413, −0.1780) (−0.80%)(−0.06%)
0.1 (3.8932, 0.0252) (3.8937, 0.0250) (−0.01%)(−0.89%) (0.7765, −0.1770) (0.7726, −0.1755) (−0.51%, 0.86%)
0.2 (3.7676, 0.0532) (3.7681, 0.0526) (0.01%)(−1.12%) (0.8160, −0.1745) (0.8143, −0.1726) (−0.02%)(1.09%)
0.3 (3.6125, 0.0835) (3.6123, 0.0826) (<0.01%)(−0.99%) (0.8719, −0.1693) (0.8722, −0.1674) (0.03%)(1.00%)
0.4 (3.4023, 0.1122) (3.4011, 0.1110) (−0.03%)(−1.00%) (0.9605, −0.1559) (0.9620, −0.1543) (0.16%)(1.05%)
0.45 (3.2535, 0.1195) (3.2491, 0.1173) (−0.03%)(−1.82%) (1.0326, −0.1396) (1.0376, −0.1369) (0.48%)(1.97%)