Testing Quantum-Corrected Black Holes with QPOs Observations: A Study of Particle Dynamics and Accretion Flow

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Main Authors: Mustafa, G., Ghosh, Sushant G., Donmez, Orhan, Maurya, S. K., Orzuev, Shakhzod, Atamurotov, Farruh
Format: Preprint
Published: 2025
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author Mustafa, G.
Ghosh, Sushant G.
Donmez, Orhan
Maurya, S. K.
Orzuev, Shakhzod
Atamurotov, Farruh
author_facet Mustafa, G.
Ghosh, Sushant G.
Donmez, Orhan
Maurya, S. K.
Orzuev, Shakhzod
Atamurotov, Farruh
contents We study the epicyclic oscillations of test particles around rotating quantum-corrected black holes (QCBHs), characterized by mass $M$, spin $a$, and quantum deformation parameter $b$. By deriving the radial ($Ω_r$) and vertical ($Ω_θ$) oscillation frequencies, we explore their dependence on spacetime parameters and show that quantum corrections ($b \neq 0$) significantly modify the dynamics compared to the classical Kerr case. Through numerical modelling of accretion around QCBHs, we further examine how $b$ influences strong-field phenomena, comparing the results with test-particle dynamics and observational data. Our analysis reveals: 1. Quantum corrections shift the ISCOs outward, with $b$ altering the effective potential and conditions for stable circular motion. 2. The curvature of the potential and thus the epicyclic frequencies change $Ω_r$ shows up to 25% deviation for typical $b$ values, underscoring sensitivity to quantum effects. 3. Precession behavior is modified: while Lense-Thirring precession ($Ω_{LT}$) remains primarily governed by $a$, periastron precession ($Ω_P$) is notably affected by $b$, especially near the black hole. 4. Accretion disk simulations confirm the physical effects of $b$, aligning well with the test particle analysis. Moreover, quasi-periodic oscillation (QPO) frequencies obtained via both approaches agree with observed low-frequency QPOs from sources like GRS $1915+105$, GRO $J1655{-}40$, XTE $J1550{-}564$, and $H1743{-}322$. The distinct frequency profiles and altered ratios offer observational signatures that may distinguish QCBHs from classical black holes. Our findings present testable predictions for X-ray timing and a new avenue to constrain quantum gravity parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2506_16405
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Testing Quantum-Corrected Black Holes with QPOs Observations: A Study of Particle Dynamics and Accretion Flow
Mustafa, G.
Ghosh, Sushant G.
Donmez, Orhan
Maurya, S. K.
Orzuev, Shakhzod
Atamurotov, Farruh
General Relativity and Quantum Cosmology
We study the epicyclic oscillations of test particles around rotating quantum-corrected black holes (QCBHs), characterized by mass $M$, spin $a$, and quantum deformation parameter $b$. By deriving the radial ($Ω_r$) and vertical ($Ω_θ$) oscillation frequencies, we explore their dependence on spacetime parameters and show that quantum corrections ($b \neq 0$) significantly modify the dynamics compared to the classical Kerr case. Through numerical modelling of accretion around QCBHs, we further examine how $b$ influences strong-field phenomena, comparing the results with test-particle dynamics and observational data. Our analysis reveals: 1. Quantum corrections shift the ISCOs outward, with $b$ altering the effective potential and conditions for stable circular motion. 2. The curvature of the potential and thus the epicyclic frequencies change $Ω_r$ shows up to 25% deviation for typical $b$ values, underscoring sensitivity to quantum effects. 3. Precession behavior is modified: while Lense-Thirring precession ($Ω_{LT}$) remains primarily governed by $a$, periastron precession ($Ω_P$) is notably affected by $b$, especially near the black hole. 4. Accretion disk simulations confirm the physical effects of $b$, aligning well with the test particle analysis. Moreover, quasi-periodic oscillation (QPO) frequencies obtained via both approaches agree with observed low-frequency QPOs from sources like GRS $1915+105$, GRO $J1655{-}40$, XTE $J1550{-}564$, and $H1743{-}322$. The distinct frequency profiles and altered ratios offer observational signatures that may distinguish QCBHs from classical black holes. Our findings present testable predictions for X-ray timing and a new avenue to constrain quantum gravity parameters.
title Testing Quantum-Corrected Black Holes with QPOs Observations: A Study of Particle Dynamics and Accretion Flow
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2506.16405