Testing modified theories of gravity with direct observations of the parameters of a neutron star is not the optimal way of testing gravitational theories. However, observing electromagnetic signals originating from the close vicinity of the compact object my turn out an excellent way of probing spacetime in strong field regime. A promising candidate for doing so are the so-called quasi-periodic oscillations, observed in the X-ray light curves of some pulsars. Although the origin of those oscillations is unknown, one thing most of the models describing them have in common is that in one way or another they incorporate the radius of the innermost stable circular obit, and the orbital and the epicyclic frequencies of particles moving around the compact object. In this paper we study the aforementioned quantities in the context of massive scalar-tensor theory and massive scalar-tensor theory with self-interaction, both of which in strong regime allow for significant deviations from General relativity for values for the free parameters of the theory in correlation with the observations.
Epicyclic orbits in the field of Einstein-Dirac-Maxwell traversable wormholes applied to the quasiperiodic oscillations observed in microquasars and active galactic nuclei
Spinning particle dynamics, epicyclic frequencies, and transient QPO signatures in Schwarzschild spacetime
School of Physics, Harbin Institute of Technology（哈尔滨工业大学物理学院）；Tashkent University of Applied Sciences（塔什干应用科学大学）；Institute for Advanced Studies, New Uzbekistan University（新乌兹别克斯坦大学高级研究所）；Tashkent State Technical University（塔什干国立技术大学）；Physics Department, Faculty of Arts and Sciences, Eastern Mediterranean University（东地中海大学文理学院物理系）；Physics Department, School of Foundational Studies and Education, Mapúa University（马普阿大学基础研究与教育学院物理系）；Institute of Theoretical Physics, National University of Uzbekistan（乌兹别克斯坦国立大学理论物理研究所）
Epicyclic motion and accretion disk around a charged black hole in Einstein-ModMax theory with a quintessence field
Zhejiang University of Technology（浙江工业大学）；Khazar University（哈扎尔大学）；National Research University TIIAME（塔什干国立研究技术大学）；University of Tashkent for Applied Sciences（塔什干应用科学大学）；Tashkent State Technical University（塔什干国立技术大学）
Probing Nonlinear Logarithmic Kalb-Ramond Black Holes: Particle Dynamics, Epicyclic Oscillations and Thermodynamic Signatures
Deen Dayal Upadhyaya Gorakhpur University（迪恩·达亚尔·乌帕迪亚亚戈勒克普尔大学）；Symbiosis Institute of Technology, Nagpur Campus, Symbiosis International (Deemed University)（西姆比奥西斯理工学院那格浦尔校区，西姆比奥西斯国际（认定）大学）
Black holes in general relativity coupled with NEDs surrounded by PFDM: thermodynamics, epicyclic oscillations, QPOs, and shadow
The Assam Royal Global University（阿萨姆皇家全球大学）；New Uzbekistan University（新乌兹别克斯坦大学）；Institute of Fundamental and Applied Research, National Research University TIIAME（基础与应用研究所，国立研究大学TIIAME）；University of Tashkent for Applied Sciences（塔什干应用科学大学）；Tashkent State Technical University（塔什干国立技术大学）
Newtonian Shirokov Effect: Epicyclic Frequency Splitting from Mass Multipoles
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México（墨西哥国立自治大学核科学研究所）；Fesenkov Astrophysical Institute（费森科夫天体物理研究所）；Al-Farabi Kazakh National University（哈萨克斯坦国立阿尔法拉比大学）；Research Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava（奥帕瓦西里西亚大学物理研究所理论物理与天体物理学研究中心）；Dipartimento di Fisica and ICRA, Università di Roma “La Sapienza”（罗马第一大学物理系及ICRA）
Precessions and parameter constraints from quasiperiodic oscillations in a rotating charged black hole
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University（扬州大学物理科学与技术学院引力与宇宙学中心）；School of Physics and Electronic Information Engineering, Neijiang Normal University（内江师范学院物理与电子信息工程学院）；Particle Theory and Cosmology Group, Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS)（基础科学研究院宇宙理论物理中心粒子理论与宇宙学组）
Probing Kerr black hole in a uniform Bertotti-Robinson magnetic field through astrophysical quasi-periodic oscillations
Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology（浙江工业大学理论物理与宇宙学研究所）；United Center for Gravitational Wave Physics (UCGWP), Zhejiang University of Technology（浙江工业大学联合引力波物理中心）；Center for Theoretical Physics, Khazar University（哈萨克斯坦大学理论物理中心）；Institute of Fundamental and Applied Research, National Research University TIIAME（国立研究大学塔什干信息技术与应用科学大学基础与应用研究所）；Tashkent University of Applied Sciences（塔什干应用科学大学）；Tashkent State Technical University（塔什干国立技术大学）
Spherically-symmetrical vacuum solution in Freund-Nambu scalar-tensor gravity
University of Tashkent for Applied Sciences（塔什干应用科学大学）；School of Physics, Harbin Institute of Technology（哈尔滨工业大学物理学院）；New Uzbekistan University（新乌兹别克斯坦大学）；Ulugh Beg Astronomical Institute（乌鲁伯格天文研究所）；Engineering school, Central Asian University（中亚大学工程学院）；Institute of Theoretical Physics, National University of Uzbekistan（乌兹别克斯坦国立大学理论物理研究所）；Institute for Advanced Studies, New Uzbekistan University（新乌兹别克斯坦大学高等研究院）；B. I. Stepanov Institute of Physics（B.I.斯捷潘诺夫物理研究所）
