AI 中文总结
本文在含幂律麦克斯韦非线性电动力学的四次准拓扑引力中推导静态磁性膜解，分析其奇点、参数约束及解的依赖关系，用反作用项方法计算时空守恒量。
AI 中文摘要
本文推导了准拓扑引力中考虑幂律麦克斯韦非线性电动力学存在时的静态磁性膜解。所得解无视界且无曲率，但存在亏角仅依赖参数q、n、s（s为非线性参数）的锥形奇点。为在无穷远处获得有限解，幂律麦克斯韦理论的参数s被约束在1/2 < s ≤ 2范围内。还观察到，当ρ趋近于r+时，解f(ρ)依赖于参数q和n的值；当ρ取较大值时，解依赖于Lovelock和准拓扑引力的系数λ、μ、c。最后，采用反作用项方法计算这些时空的守恒量。
英文摘要
In this paper, we derive static magnetic brane solutions in quasi-topological gravity, considering the presence of power-law Maxwell nonlinear electrodynamics. The resulting solutions are horizonless and curvature-free. However, there exists a conic singularity with a deficit angle, which depends solely on the parameters $q$, $n$, and $s$ (where $s$ is the nonlinear parameter). In addition, in order to obtain finite solutions at infinity, the parameter $s$ of the power-law Maxwell theory is constrained to the range $1/2 < s \leq 2$. It is also observed that, for $ρ$ approaching $r_+$, the solutions $f(ρ)$ are dependent on the values of parameters $q$ and $n$, and for larger values of $ρ$, the solutions depend on the coefficients of Lovelock and quasi-topological gravities, namely $λ$, $μ$, and $c$. Finally, we employ the counterterm method to compute the conserved quantities of these spacetimes.
