Probing black holes surrounded by Dust field in Quantum Fluctuation Modified Gravity with twin-peak QPOs
Abstract
We study a static, spherically symmetric black hole solution surrounded by a dust field within quantum fluctuation modified gravity, in which the quantum-fluctuation parameter α and the dust-field strength parameter K. The horizon structure reveals the two parameters acting in opposite directions: strengthening K draws the inner and outer horizons together until they merge into a single extremal horizon, while a larger α restores the Schwarzschild limit; the same opposing trend extends to the effective potential and the characteristic circular-orbit radii -- the innermost stable circular orbit, the marginally bound orbit, and the marginal circular orbit -- which shift inward with K and outward with α, and to the Keplerian and radial epicyclic frequencies of massive test particles. From these frequencies we build three twin-peak quasi-periodic oscillation models -- relativistic precession, warped-disk, and epicyclic-resonance -- along with their 3:2, 4:3, and 5:4 resonance radii, all following the same K-α trend. Testing all three models against twin-peak QPO data from two stellar-mass (GRO~J1655−40, XTE~J1550−564) and two intermediate-mass (M82~X−1, NGC~1313~X−1) sources through a Markov Chain Monte Carlo analysis places best-fit constraints, at the 2σ level, of K∈(0,0.5) and α∈(0.3,0.6) across all sources and models.
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BibTeX
@misc{shermatova2026probing,
title = {{Probing black holes surrounded by Dust field in Quantum Fluctuation Modified Gravity with twin-peak QPOs}},
author = {Kamola Shermatova and Qodir Badalov and Abubakir Shermatov and Javlon Rayimbaev and Bekzod Rahmatov and Shokhzod Jumaniyozov and Dilafruz Xujanova and Farhod Nuraliev},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.22874},
eprint = {2609.22874},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.22874},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Probing black holes surrounded by Dust field in Quantum Fluctuation Modified Gravity with twin-peak QPOs
AU - Kamola Shermatova
AU - Qodir Badalov
AU - Abubakir Shermatov
AU - Javlon Rayimbaev
AU - Bekzod Rahmatov
AU - Shokhzod Jumaniyozov
AU - Dilafruz Xujanova
AU - Farhod Nuraliev
PY - 2026
DA - 2026/09/19
PB - arXiv
DO - 10.48550/arxiv.2609.22874
UR - https://arxiv.org/abs/2609.22874
AB - We study a static, spherically symmetric black hole solution surrounded by a dust field within quantum fluctuation modified gravity, in which the quantum-fluctuation parameter α and the dust-field strength parameter K. The horizon structure reveals the two parameters acting in opposite directions: strengthening K draws the inner and outer horizons together until they merge into a single extremal horizon, while a larger α restores the Schwarzschild limit; the same opposing trend extends to the effective potential and the characteristic circular-orbit radii -- the innermost stable circular orbit, the marginally bound orbit, and the marginal circular orbit -- which shift inward with K and outward with α, and to the Keplerian and radial epicyclic frequencies of massive test particles. From these frequencies we build three twin-peak quasi-periodic oscillation models -- relativistic precession, warped-disk, and epicyclic-resonance -- along with their 3:2, 4:3, and 5:4 resonance radii, all following the same K-α trend. Testing all three models against twin-peak QPO data from two stellar-mass (GRO~J1655−40, XTE~J1550−564) and two intermediate-mass (M82~X−1, NGC~1313~X−1) sources through a Markov Chain Monte Carlo analysis places best-fit constraints, at the 2σ level, of K∈(0,0.5) and α∈(0.3,0.6) across all sources and models.
ER -