The paper discusses the existence of a black hole solution in 2+1 spacetime dimensions with a negative cosmological constant, which is similar to its 3+1 counterpart. The black hole is characterized by mass, angular momentum, and charge, defined by flux integrals at infinity. Anti-de Sitter space appears as a negative energy state separated from the continuous black hole spectrum by a mass gap. The entropy of the black hole is found to be twice the perimeter length of the horizon. The authors derive the equations of motion and solve them to obtain the black hole field, focusing on the physical properties of the solution. They also discuss the thermodynamic properties of the black hole, including the free energy, temperature, and entropy. The inclusion of the electromagnetic field is briefly addressed, and the geometry of the black hole is explored, highlighting its rich structure despite the simplicity of gravity in three spacetime dimensions.The paper discusses the existence of a black hole solution in 2+1 spacetime dimensions with a negative cosmological constant, which is similar to its 3+1 counterpart. The black hole is characterized by mass, angular momentum, and charge, defined by flux integrals at infinity. Anti-de Sitter space appears as a negative energy state separated from the continuous black hole spectrum by a mass gap. The entropy of the black hole is found to be twice the perimeter length of the horizon. The authors derive the equations of motion and solve them to obtain the black hole field, focusing on the physical properties of the solution. They also discuss the thermodynamic properties of the black hole, including the free energy, temperature, and entropy. The inclusion of the electromagnetic field is briefly addressed, and the geometry of the black hole is explored, highlighting its rich structure despite the simplicity of gravity in three spacetime dimensions.