发表机构
Harbin Institute of Technology; Samarkand State University; Tashkent State Technical University; Institute of Theoretical Physics, National University of Uzbekistan; Institute for Advanced Studies, New Uzbekistan University; University of Tashkent for Applied Sciences; Kimyo International University in Tashkent; New Uzbekistan University（哈尔滨工业大学; 撒马尔罕国立大学; 塔什干国立技术大学; 乌兹别克斯坦国立大学理论物理研究所; 新乌兹别克斯坦大学高级研究院; 塔什干应用科学大学; 塔什干化学国际大学; 新乌兹别克斯坦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究动力学Chern-Simons引力对脉冲星电动力学的影响，发现其改变电场和电荷密度，使死亡线上移、粒子加速更高效，从而解释短寿命脉冲星现象。
AI 中文摘要
表面引力在中子星（NSs）的辐射机制中起着重要作用，这些星体是高度磁化的致密引力天体，其致密度 $M/R \simeq 0.2$，表面附近的等离子体磁层辐射受表面引力影响显著。在此背景下，它们充当了通过等离子体磁层辐射来检验主导星体外部引力理论的天体实验室。本文研究了动力学Chern-Simons（dCS）引力在慢旋转、弱耦合条件下如何修正脉冲星电动力学；领头阶修正仅影响非对角度规分量 $g_{tϕ}$，而对角分量保持与广义相对论（GR）中相同。我们首先在dCS框架下求解麦克斯韦方程组以获得电磁场分量，并得到了电场和磁场的解析解。我们表明，磁场分量与GR中的相同，而电场分量在dCS中受到修正。随后，我们推导了感应电荷密度（即Goldreich-Julian（GJ）电荷密度）的解析表达式，该密度源于磁场和恒星旋转产生的感应电场。在dCS中，该密度大于GR情形，而平行于磁力线的加速电场则较弱。接下来，我们考虑恒星极冠区中通过逆康普顿散射关闭电子和正电子辐射的死亡线条件，并表明该线在 $P-\dot{P}$ 图中上移，解释了短寿命脉冲星的物理机制。最后，我们研究了极冠区域中的带电粒子加速，并表明电子在比GR情形更短的距离内达到更高的能量。
英文摘要
The role of surface gravity in neutron stars (NSs) is considerable in the radiation mechanisms of the surrounding plasma magnetosphere near the star surface, as they are highly magnetized, compact gravitating objects with compactness $M/R \simeq 0.2$. In this context, they serve as a celestial laboratory for testing gravity theories that dominate the stars' exteriors through plasma magnetospheric radiation. In this paper, we examine how dynamical Chern-Simons (dCS) gravity modifies pulsar electrodynamics in the slow-rotation, weak-coupling regime; the leading-order correction affects only the off-diagonal metric component $g_{tϕ}$, while the diagonal components remain as in General Relativity (GR). We first solve the Maxwell equations in the dCS framework for the electromagnetic field components and obtain analytical solutions for the electric and magnetic fields. We show that the magnetic field components are the same as in GR, while the electric field components are modified in dCS. We then derive analytic expressions for the induced electric charge density, known as the Goldreich-Julian (GJ) charge density, which sources the induced electric field arising from the magnetic field and the star's rotation. In dCS, it is larger than in the GR case, whereas the accelerating electric field parallel to the magnetic field lines is weaker. Next, we consider the deathline condition for switching off electron and positron radiation via inverse Compton scattering in the star's polar cap zone and show that the line shifts upward in the $P-\dot{P}$ diagram, explaining the physics of shorter-lived pulsars. Lastly, we study charged-particle acceleration in the polar cap region and show that electrons reach higher energies over shorter distances than in the GR case.
Comments16 pages, 6 figures
