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

Table 6

Reissner-Nordström quasinormal frequency parameter values (𝜌=−𝑖𝜔) for the fundamental (𝑛=1) and two lowest overtones for 𝑙=1 and 𝑖=1.

𝑛	𝑄	𝜌Leaver	𝜌AIM
0	0	(0.4965, −0.1850)	(0.4965, −0.1850) (<0.01%)(<0.01%)
0	0.2	(0.5238, −0.1883)	(0.5238, −0.1883) (<0.01%)(<0.01%)
0	0.4	(0.6470, −0.1965)	(0.6470, −0.1965) (<0.01%)(<0.01%)
0	0.495	(0.8428, −0.1742)	(0.8428, −0.1742) (<0.01%)(<0.01%)
1	0	(0.4290, −0.5873)	(0.4292, −0.5873) (<0.01%) (0.05%)
1	0.2	(0.4598, −0.5953)	(0.4598, −0.5953) (<0.01%)(<0.01%)
1	0.4	(0.5980, −0.6107)	(0.5980, −0.6107) (<0.01%)(<0.01%)
1	0.495	(0.7979, −0.5293)	(0.7978, −0.5280) (0.01%)(0.25%)
2	0	(0.3496, −1.0504)	(0.3495, −1.0504) (0.03%)(<0.01%)
2	0.2	(0.3832, −1.0596)	(0.3832, −1.0596) (<0.01%)(<0.01%)
2	0.4	(0.5340, −1.0660)	(0.5340, −1.0659) (<0.01%)(<0.01%)
2	0.495	(0.7104, −0.9055)	(0.6248, −1.0574) (−12.05%)(−16.78%)