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Quasi-periodic oscillations in the Phantom RN-AdS BH

Olimjon KholturayevNew Uzbekistan UniversitySardor MurodovNew Uzbekistan UniversityAbubakir ShermatovInstitute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent 100000, Uzbekistan
Turanian Journaljournal2026
ABI

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We study the motion of neutral test particles around a phantom Reissner--Nordström Anti-de Sitter (RN--AdS) black hole (BH) with non-commutative (NC) corrections. We analyze circular motion through the effective potential and calculate the Keplerian, radial epicyclic, and vertical epicyclic frequencies. We show that the phantom field and NC parameter modify the stable circular orbits and shift the ISCO radius. We then apply these results to the RP and WD models of twin-peak quasi-periodic oscillations and find noticeable deviations from the Schwarzschild case in the corresponding frequency relations.

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