Frequencies Spectra and Gravitational Ringing around Hayward-AdS black holes Immersed in a String Fluid

Abstract We explore the dynamics of test particles in a Hayward–AdS black hole with string fluid, with particular emphasis on how the relevant parameters influence particle motion. Circular orbit stability is studied using the effective potential method, which provides analytic formulae of energy and angular momentum of the particle with respect to the black-hole parameters. The effect of these parameters on the innermost stable circular orbit is also explored, and therefore, the effective forces on the test particle is studied. In addition, we measure the frequency of the precession of the pericenter and examine the tiny oscillatory motion of a particle around a stable orbit, and examine how the relevant frequency is determined to be altered by the black-hole parameters. We generalize the comparison of the dynamics of the particle in the Hayward-AdS spacetime with the string fluid by comparing the particle dynamics in the Hayward-AdS and the Hayward Reissner Nordstrom, and the conventional Hayward black hole. Lastly, we examine the influence of the string fluid and the Hayward parameter on the quasinormal spectrum and the time-domain dynamics of the electromagnetic perturbations, and find that these two terms have a reciprocal effect on the quasinormal scale.

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