Plasma magnetosphere surrounding rotating magnetized neutron star in the braneworld has been studied. For the simplicity of calculations Goldreich-Julian charge density is analyzed for the aligned neutron star with zero inclination between magnetic field and rotation axis. From the system of Maxwell equations in spacetime of slowly rotating star in braneworld, second-order differential equation for electrostatic potential is derived. Analytical solution of this equation indicates the general relativistic modification of an accelerating electric field and charge density along the open field lines by brane tension. The implication of this effect to the magnetospheric energy loss problem is underlined. It was found that for initially zero potential and field on the surface of a neutron star, the amplitude of the plasma mode created by Goldreich-Julian charge density will increase in the presence of the negative brane charge. Finally we derive the equations of motion of test particles in magnetosphere of slowly rotating star in the braneworld. Then we analyze particle motion in the polar cap and show that brane tension can significantly change conditions for particle acceleration in the polar cap region of the neutron star.
Charged particles and QPO constraints in tidal charge black hole magnetosphere sourced by a current loop
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）；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）；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）；Tashkent State Technical University（塔什干国立技术大学）；Tashkent International University（塔什干国际大学）；Research Institute of Irrigation and Water Problems（灌溉与水资源问题研究所）
Equilibriums of extremely magnetized compact stars with force-free magnetotunnels
University of the Ryukyus（琉球大学）；Tohoku University（东北大学）；Observatoire de Paris, Université PSL（巴黎天文台，巴黎文理研究大学）；University of Cambridge（剑桥大学）；National Center for Supercomputing Applications, University of Illinois at Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校超级计算应用国家中心）；Queen Mary University of London（伦敦大学玛丽女王学院）；University of Tokyo（东京大学）；Tokyo University of Technology（东京工科大学）；University of Illinois at Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校）
