The first law of black hole mechanics in conformal Einstein-Power-Yang–Mills theory

In the framework of the Iyer–Wald formalism, the first law of black hole mechanics is examined within the context of conformal Einstein-power-Yang–Mills (CEPYM) theory. By comparing two infinitesimally neighbouring stationary black hole solutions, we obtain the explicit analytical expression for the first law of black hole thermodynamics in CEPYM theory.