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The spacetime properties in the exterior of the Kerr-Newman-NUT-Kiselev blackhole in the Rastall theory of gravity, through particle dynamics areinvestigated with the aim to find possible degeneracy of the different blackhole parameters. We show that the effective potential, the energy, and theangular momentum of a test particle moving in the spacetime of such a blackhole strongly depend on the central black hole parameters. We also evaluate theinnermost stable circular orbit radii of test particles and show how thespacetime parameters can act on them. Further, we show the results for thefundamental frequencies of test particles moving at small distances from thecircular orbits in the equatorial plane. We demonstrate that change in theRastall parameter $\kappa \lambda$, can make the radial epicyclic frequency tobecome zero at larger distances from the central source. We also notice thatfor the vertical epicyclic frequencies, in the case of theKerr-Newman-NUT-Kiselev black hole in the Rastall theory of gravity lowerfrequencies are observed as compared to the frequencies observed in the case ofthe Kerr black hole. Finally, we show that for the Kerr-Newman-NUT-Kiselevblack hole in the Rastall gravity, the Keplerian frequencies are almostidentical with the frequencies noticed in the case of the Kerr black hole andthe difference between the two can only be observed in the regions in a veryclose vicinity to the central black hole, studied in the present work.

Dynamics and Fundamental Frequencies of Test Particles Orbiting Kerr-Newman-NUT-Kiselev Blacks Hole in Rastall Gravity