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

Author:

Al-Badawi Ahmad1ORCID,Sekhmani Yassine23ORCID,Rayimbaev Javlon456ORCID,Myrzakulov Ratbay23ORCID

Affiliation:

1. Department of Physics, Al-Hussein, Bin Talal University, P. O. Box: 20, 71111, Maan, Jordan

2. Ratbay Myrzakulov Eurasian International, Centre for Theoretical Physics, Astana 010009, Kazakhstan

3. Department of General and Theoretical Physics, L. N. Gumilyov Eurasian National University, Astana 010008, Kazakhstan

4. New Uzbekistan University, Movarounnahr, Street 1, Tashkent 100007, Uzbekistan

5. University of Tashkent for Applied Sciences, Gavhar Street 1, Tashkent 100149, Uzbekistan

6. Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent 100000, Uzbekistan

Abstract

This research surveys the impact of the flavor number parameter on a four-dimensional Black Hole (BH) solution in Einstein’s nonlinear sigma model-[Formula: see text] (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 [Formula: see text]-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 [Formula: see text]-NLSM BH damp more slowly as flavor number N increases.

Publisher

World Scientific Pub Co Pte Ltd

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