Circular orbits and QPOs near Kiselev black holes in f(R, T) gravity
Abubakir Shermatov
1,*
,
Sardor Murodov
2
,
Bakhran Shermatov
3
1 Institute of Fundamental and Applied Research, National Research University TIIAME , Kori Niyoziy 39, Tashkent 100000, Uzbekistan
2 New Uzbekistan University , Movarounnahr Str. 1, Tashkent 100000, Uzbekistan
3 Department of Solid State Physics, Samarkand State University , University Avenue 15, Samarkand 140104, Uzbekistan
Abstract
Exploring the interaction of quintessence fields with black hole spacetimes in modified gravity theories can shed light on both dark energy phenomenology and gravity tests. In this work, we investigate static, spherically symmetric Kiselev black holes embedded in the framework of f(R,T) gravity, characterized by quintessence parameters K and \(\gamma\). We first analyze the existence and behavior of the event and Cauchy horizons as functions of \((K,\gamma)\). We then compute the scalar curvature invariants—the Ricci scalar \(R\), the Ricci‐tensor square \(R_{\mu\nu}R^{\mu\nu}\), and the Kretschmann scalar \(R_{\mu\nu\rho\sigma}R^{\mu\nu\rho\sigma}\)—to assess spacetime regularity and singularity structure. Investigating electrically neutral test particles, we derive the effective potential \(V_{\rm eff}(r)\), the specific energy \(E_c\) and angular momentum \(L_c\) for circular orbits, and determine the radii of the innermost stable circular orbit (ISCO), the marginally bound orbit (MBO), and the minimum circular orbit (MCO) as functions of \(\gamma\). Next, we calculate the fundamental orbital (\(\nu_K\)), radial (\(\nu_r\)), and vertical (\(\nu_\theta\)) oscillation frequencies along these orbits and apply three leading quasi‐periodic oscillation (QPO) models (relativistic precession, epicyclic resonance, and warped‐disk) to predict upper and lower QPO frequencies. Finally, employing a Markov Chain Monte Carlo (MCMC) analysis with observed twin‐peak QPO data from GROJ1655–40, GRS1915+105, M82X-1, and SgrA\(^*\), we place simultaneous constraints on the black hole mass M, quintessence parameter K, state parameter \(\gamma\), and radial coordinate r.
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Cite this article
Shermatov, A., Murodov, S. and Shermatov, B., Circular orbits and QPOs near Kiselev black holes in f (R, T) gravity, Turanian J. Vol. 1, No. 1 (010104), 2025.