Rotating Lee-Wick black hole and thermodynamics

We derive a singular solution for the rotating counterpart of Lee-Wick gravity having a point source in a higher-derivative theory. We critically analyze the thermodynamics of such a thermal system by evaluating mass parameters, angular velocity and Hawking temperature. The system follows the first law of thermodynamics and leads to the expression of entropy. We further discuss the stability and phase transition of the theory by evaluating heat capacity and free energy. The phase transition occurs at the point of divergence and the temperature is maximum. Remarkably, the black hole is unstable for a small horizon radius and stable for a large horizon radius.

Automated summary

In this study, a singular solution is derived for the rotating counterpart of Lee-Wick gravity with a point source in a higher-derivative theory. The thermodynamics of this thermal system, including mass parameters, angular velocity, and Hawking temperature, is critically analyzed. The first law of thermodynamics is found to be valid, and the expression of entropy is obtained. The stability and phase transition of the theory are further discussed by evaluating heat capacity and free energy, revealing that the stability of the black hole is dependent on the horizon radius.