On thermodynamics of charged black hole with scalar hair

TL;DR

This paper demonstrates a consistent Hamiltonian framework for describing the thermodynamics of charged black holes with scalar hair, including energy, entropy, and the first law.

Contribution

It provides a novel Hamiltonian approach to analyze the thermodynamics of charged black holes with scalar hair, extending previous models.

Findings

Energy, entropy, and the first law are consistently described.

The Hamiltonian approach is applicable to black holes with scalar hair.

Results unify thermodynamic descriptions of charged black holes.

Abstract

It is shown that energy, entropy and the first law of the Martinez-Troncoso black hole with electric charge and scalar hair (2006) can be consistently described in a general Hamiltonian approach to black hole thermodynamics.