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Scalar perturbations and quasi-normal modes of a nonlinear magnetic-charged black hole surrounded by quintessence

Hrishikesh ChakrabartyDepartment of Physics, Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200438, ChinaAhmadjon AbdujabbarovDepartment of Physics, Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200438, ChinaCosimo BambiDepartment of Physics, Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200438, China
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We study scalar perturbations and quasi-normal modes of a nonlinear magnetic-charged black hole surrounded by quintessence. The time evolution of scalar perturbations is studied for different parameters associated with the black hole solution. We also study the reflection and transmission coefficients along with absorption cross section for the considered black hole spacetime. It was shown that the real part of the quasi-normal frequency increases with increase in the nonlinear magnetic charge while the module of the imaginary part of the frequency decreases. The analysis of the perturbations with changing quintessential parameter c showed that perturbations with high values of c become unstable.

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