In this work, we investigate the observable optical signatures of the Mod(A)Max black hole spacetime. We analyze key optical features, including the photon sphere, black hole shadow, and photon trajectories, and examine how these observables depend on the underlying geometric parameters, such as the electric charge and the Mod(A)Max coupling parameter. We further study the dynamics of neutral test particles in the vicinity of the black hole by deriving the effective potential within the Hamiltonian formalism. Using this potential, we obtain the specific energy and specific angular momentum for test particles on circular orbits of fixed radius, as well as the innermost stable circular orbit (ISCO), and explore how the geometric parameters influence these quantities and the ISCO radius. Finally, we derive the epicyclic (azimuthal, radial, and vertical) frequencies to analyze quasi-periodic oscillations (QPOs) exploring how the geometric parameters influences these and discuss their physical implications.
Epicyclic orbits in the field of Einstein-Dirac-Maxwell traversable wormholes applied to the quasiperiodic oscillations observed in microquasars and active galactic nuclei
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）
Geometric properties of slowly rotating black holes embedded in matter environments
Gran Sasso Science Institute（格兰萨索科学研究所）；INFN, Laboratori Nazionali del Gran Sasso（意大利国家核物理研究所，格兰萨索国家实验室）；Inter-University Centre for Astronomy and Astrophysics（大学间天文学与天体物理学中心）
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）
From Størmer to Schwarzschild: Analytical Dynamics of Charged Particles in a Dipole Magnetosphere
Instituto de Astrofísica e Ciências do Espaço（太空天文与科学研究所）；Faculdade de Ciências da Universidade de Lisboa（里斯本大学理学院）；Departamento de Física, Faculdade de Ciências da Universidade de Lisboa（里斯本大学理学院物理系）；Babeş-Bolyai University（巴比什-博尧伊大学）；Astronomical Observatory（天文台）
Charged particle dynamics in singular spacetimes: hydrogenic mapping and curvature-corrected thermodynamics
Erzurum Technical University（埃尔祖鲁姆理工大学）；Hakkari University（哈卡里大学）；Eastern Mediterranean University（东地中海大学）；University of Hradec Králové（赫拉德茨-克拉洛韦大学）；Khazar University（哈萨尔大学）
Relativistic accretion process onto rotating black holes in Einstein-Euler-Heisenberg nonlinear electrodynamic gravity
American University of the Middle East（中东美国大学）；Zhejiang Normal University（浙江师范大学）；Khazar University（阿塞拜疆哈萨尔大学）；Virtual University of Pakistan（巴基斯坦虚拟大学）；Echahid Cheikh Larbi Tebessi University（特贝西大学）；University of Management and Technology（管理与技术大学）；Urgench State University（Urgench国立大学）
Circular-orbit dynamics and QPO constraints in static Einstein--scalar--Gauss--Bonnet black holes
New Uzbekistan University（新乌兹别克斯坦大学）；Tashkent State Technical University（塔什干国立技术大学）；University of Tashkent for Applied Sciences（塔什干应用科学大学）；Kimyo International University in Tashkent（塔什干化学国际大学）；Samarkand branch of Tashkent University of Information Technologies named after Muhammad al-Khwarizmi（穆罕默德·花拉子米塔什干信息技术大学撒马尔罕分校）；College of Transportation, Tongji University（同济大学交通运输学院）；Khazar University（阿塞拜疆哈萨尔大学）；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）
Rotating black holes in valid vector-tensor theories after GW170817
超越广义相对论的矢量张量理论在引力的紫外线完成的背景下得到了广泛的研究，赋予引力子质量并解释了暗能量现象。在中子星合并事件GW 170817之后，我们在矢量张量理论中构造了旋转黑洞解，该事件对引力波的传播速度提出了严格的限制，使其远离光速.通过对Einstein-Maxwell理论进行一般的保角变换，构造了这样的有效矢量张量理论，并通过对Kerr-Newman解进行同样的保角变换，构造了新的旋转黑洞解.这些理论不属于广义普罗卡理论，但属于扩展类的矢量张量理论，满足退化条件以消除不稳定模式，因此是健康的。我们发现，这样的共形Kerr-Newman解决方案保持的位置的奇异性，事件视界和ergoregion边界从Kerr-Newman，以及多极矩和彼得罗夫型。另一方面，Hamilton-Jacobi方程不再是可分的，这表明在这个解中不存在卡特常数。标准的Newman-Janis算法也不能构造新的解。我们还计算周转频率，最里面的稳定圆轨道的位置，和史瓦西岁差，并将后者应用到最近的重力测量放置从克尔纽曼的Sgr A $^*$的偏差的界限。
Probing scalarized wormholes through quasi-periodic oscillations and spinning particle dynamics
Institute of Fundamental and Applied Research, National Research University TIIAME（塔什干信息技术与应用科学国立大学基础与应用研究所）；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）；Kimyo International University in Tashkent（塔什干化学国际大学）；Research Center of Astrophysics and Cosmology, Khazar University（哈扎尔大学天体物理学与宇宙学研究中心）；National University of Uzbekistan（乌兹别克斯坦国立大学）；School of Science, Walailak University（瓦拉耶拉克理科大学）；College of Graduate Studies, Walailak University（瓦拉耶拉克研究生院）
Probing black holes surrounded by Dust field in Quantum Fluctuation Modified Gravity with twin-peak QPOs
National University of Uzbekistan（乌兹别克斯坦国立大学）；Samarqand State Pedagogical Institute（撒马尔罕国立师范学院）；Institute of Fundamental and Applied Research, National Research University TIIAME（塔什干信息技术与管理系统国立研究大学基础与应用研究所）；Tashkent State Technical University（塔什干国立技术大学）；School of Physics, Harbin Institute of Technology（哈尔滨工业大学物理学院）；University of Tashkent for Applied Sciences（塔什干应用科学大学）；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）；New Uzbekistan University（新乌兹别克斯坦大学）；Kimyo International University in Tashkent（塔什干基莫国际大学）；University of Economics and Pedagogy（经济与教育学院）；Tashkent International University（塔什干国际大学）
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）
Constrain from shadows of $M87^*$ and $Sgr A^*$ and quasiperiodic oscillations of galactic microquasars on a black hole arising from metric-affine bumblebee model
