https://doi.org/10.1140/epjc/s10052-024-12946-9
Regular Article - Theoretical Physics
Constraints on quasinormal modes from black hole shadows in regular non-minimal Einstein Yang–Mills gravity
1
Department of Physics, Moran College, Moranhat, 785670, Charaideo, Assam, India
2
Theoretical Physics Division, Centre for Atmospheric Studies, Dibrugarh University, 786004, Dibrugarh, Assam, India
3
Strong Gravity Group, Department of Physics, Faculty of Science, Silpakorn University, 73000, Nakhon Pathom, Thailand
Received:
22
February
2024
Accepted:
21
May
2024
Published online:
27
June
2024
This work deals with scalar quasinormal modes using the higher-order WKB method and black hole shadow in non-minimal Einstein–Yang–Mills theory. To validate the results of quasinormal modes, time domain profiles are also investigated. We find that with an increase in the magnetic charge of the black hole, the ringdown gravitational wave increases non-linearly and the damping rate decreases non-linearly. The presence of a magnetic charge also results in a non-linear decrease in the black hole shadow. For large values of the coupling parameter, the black hole becomes a soliton solution and the corresponding ringdown gravitational wave frequency increases slowly with a decrease in the damping rate. For the soliton solutions, the shadow is also smaller. The constraints on the model parameters calculated using shadow observations of M87* and Sgr A* and an approximate analytical relation between quasinormal modes and shadows at the eikonal limit are discussed.
© The Author(s) 2024
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