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On Quasinormal Modes for Gravitational Perturbations of Bardeen Black Hole
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In this paper we investigate gravitational perturbations of a regular black hole, particularly Bardeen solution. Such system is solution of Einstein equations that do not have a singularity at the origin of the radial symmetry. However it still have events horizons depending on the values of the characteristic parameters of the solution. When a black hole is perturbed, it oscillates. It gives rise to damped vibrating modes which are known as quasinormal modes. It is calculated the quasinormal frequencies of a regular black hole using the third order WKB approximation for gravitational perturbations. The results are presented in tables I, II and III.
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Can we distinguish whether black holes have singularities or not through echoes and light rings?
In the Bardeen and Hayward black hole families, the singular type II branch can have two light rings and echo-like quasinormal signals, while regular black holes have one light ring.
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