Static Magnetic Brane Solutions in Quartic Quasi-Topological Gravity with Power-Law Maxwell Nonlinear Electrodynamics

Abstract

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 $\rho$ approaching $r_+$, the solutions $f(\rho)$ are dependent on the values of parameters $q$ and $n$, and for larger values of $\rho$, the solutions depend on the coefficients of Lovelock and quasi-topological gravities, namely $\lambda$, $\mu$, and $c$. Finally, we employ the counterterm method to compute the conserved quantities of these spacetimes.