Shadows and quasinormal modes of black holes in the Einstein-SU(N) nonlinear sigma model

This research surveys the impact of the flavor number parameter on a four-dimensional Black Hole (BH) solution in Einstein's nonlinear sigma model-SU(N) (NLSM) in accordance with the shadow, energy emission rate, sparsity, massless scalar, and electromagnetic quasinormal mode spectra. Related investigations are being carried out to explore the influence of the flavor number parameter. In particular, the findings show that shadow behavior and energy emission rate are antinomic processes in view of the flavor number parameter. On the other hand, the SU(N)-NLSM BH's quasinormal modes are computed by first calculating the effective potential generated by the perturbation of scalar and electromagnetic fields, followed by a numerical analysis based on the sixth-order WKB approach. Our results show that the QNMs of the SU(N)-NLSM BH damp more slowly as flavor number N increases.