Ay\'on--Beato--Garc\'ia black hole coupled with a cloud of strings: thermodynamics, shadows and quasinormal modes

Abstract

We find an exact black hole solution for the Einstein gravity in the presence of Ay\'on--Beato--Garc\'ia non-linear electrodynamics and a cloud of strings. The resulting black hole solution is singular, and the solution becomes non-singular when gravity is coupled with Ay\'on--Beato--Garc\'ia non-linear electrodynamics only. This solution interpolates between Ay\'on--Beato--Garc\'ia black hole, Letelier black hole and Schwarzschild black hole { in the absence of cloud of strings parameter, magnetic monopole charge and both of them, respectively}. We also discuss the thermal properties of this black hole and find that the solution follows the modified first law of black hole thermodynamics. Furthermore, we estimate the solution's black hole shadow and quasinormal modes.