Analytical correspondence between shadow radius and black hole quasinormal frequencies
Bertha Cuadros-MelgarEscola de Engenharia de Lorena, Universidade de São Paulo, Estrada Municipal do Campinho S/N, CEP 12602-810, Lorena, SP, BrazilR. D. B. FontanaUniversidade Federal da Fronteira Sul, Campus Chapecó, CEP 89802-112, SC, BrazilJéferson de OliveiraInstituto de Física, Universidade Federal de Mato Grosso, CEP 78060-900, Cuiabá, MT, Brazil
2020en
ABI
Annotatsiya
We consider the equivalence of quasinormal modes and geodesic quantities recently brought back due to the black hole shadow observation by Event Horizon Telescope. Using WKB method we found an analytical relation between the real part of quasinormal frequencies at the eikonal limit and black hole shadow radius. We verify this correspondence with two black hole families in 4 and D dimensions, respectively.
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