The circular orbits of a spinning test particle moving around a charged Hayward black hole is investigated by using the Mathisson–Papapetrou–Dixon equations together with the Tulczyjew spin-supplementary condition. By writing the equations of motion, the effective potential for the description of the test particle is obtained to study the properties of the Innermost Stable Circular Orbit (ISCO). The results show that the ISCO radii for spinning particles moving in the charged Hayward background differ from those obtained in the corresponding Schwarzschild or Reissner–Nordstrom spacetimes, depending on the values of the electric charge and the length-scale parameter of the metric. When the spin of the particle and its orbital angular momentum are aligned, an increase in the spin produces a decrease in the ISCO radius, while in the case in which the spin of the particle and its orbital angular momentum are anti-aligned, an increase in the spin results in an increase of the radius of the ISCO.

中文翻译：

---

围绕带电海沃德黑洞背景旋转粒子的圆周运动和最内层稳定圆形轨道

通过使用 Mathisson-Papapetrou-Dixon 方程和 Tulczyjew 自旋补充条件来研究围绕带电海沃德黑洞移动的旋转测试粒子的圆形轨道。通过写出运动方程，得到描述测试粒子的有效势能，从而研究最内稳定圆轨道（ISCO）的性质。结果表明，在带电海沃德背景中运动的自旋粒子的 ISCO 半径不同于在相应的史瓦西时空或 Reissner-Nordstrom 时空中获得的半径，这取决于电荷值和度量的长度尺度参数。当粒子的自旋与其轨道角动量对齐时，自旋的增加会导致 ISCO 半径减小，