Charged Accelerating BTZ black holes

In this paper, we first extract general uncharged accelerating BTZ black hole solutions and study some of their properties. Our analysis shows that spacetime's asymptotic behavior depends on four parameters: the cosmological constant, mass, acceleration, and topological constant. Then, we study the temperature of these black holes and find that the temperature is always positive for AdS spacetime. Next, we extend our study for extracting charged accelerating BTZ black hole solutions in the presence of a nonlinear electrodynamics field known as conformally invariant Maxwell. Our findings indicate a coupling between the electrical charge and other quantities of the accelerating BTZ black holes. The asymptotic behavior of charged accelerating BTZ black holes depends on five parameters: the cosmological constant, the electrical charge, mass, the acceleration parameter, and the topological constant. Then, we studied the effects of charge, acceleration parameters, and the topological constant on the root of these black holes. Finally, we investigate the temperature of these black holes in AdS spacetime. For these black holes, the temperature depends on the electrical charge, accelerating parameter, and the cosmological constant. Our analysis indicates that the temperature of charged accelerating BTZ AdS black holes is always positive.