Rotating Lee–Wick black hole and thermodynamics

Author:

Singh Dharm Veer1,Upadhyay Sudhaker2345,Ali Md Sabir6

Affiliation:

1. Department of Physics, GLA University, Mathura 281406, India

2. Department of Physics, K. L. S. College, Nawada, Bihar 805110, India

3. Department of Physics, Magadh University, Bodh Gaya, Bihar 824234, India

4. Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, Maharashtra 411007, India

5. School of Physics, Damghan University, P.O. Box 3671641167, Damghan, Iran

6. Center for Theoretical Physics, Jamia Millia Islamia, New Delhi, India

Abstract

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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