Third order quasitopological black hole with a power-law Maxwell nonlinear source

In this paper, we construct a new class of solutions for five dimensional third order quasitopological black holes coupled to a power-law Maxwell nonlinear electrodynamics. To have real solutions, we should establish condition mu < -lambda(2)/3 and to have finite solutions at infinity, the parameter of power-law Maxwell theory "s" should obey 1/2 < s <= 2. Power-law Maxwell Lagrangian is successful to set conformal invariance in higher dimensions. Also, this theory can reduce the divergence of the electrical field at the origin that is caused in linear Maxwell theory. As the value of parameter "s" increases, this divergence reduces more. This theory can also provide different solutions with respect to Gauss-Bonnet and Einstein-Maxwell theories that are thermally stable. The obtained solutions can lead to a black hole with two horizons for small values of s and q. Also, solutions with s = 2 have different behaviors with respect to the ones with other values of s. For negative and small value of parameter mu, the obtained solutions can describe a black hole with two horizons. An other important tip is that this black hole has thernial stability just for anti-de sitter solutions if the temperature is positive. The obtained solutions in this theory are thermally stable for larger regions than Gauss-Bonnet theory. Also, small values of parameters s and Q lead to a larger thermal stable region than large ones.