Entropy of black holes coupled to a scalar field

The Hamiltonian approach to black hole entropy, recently proposed in the framework of Poincaré gauge theory, is extended by including the scalar matter. The improved approach is used to analyse asymptotic charges and entropy of a typical black hole with scalar hair in two complementary dynamical settings, in GR and in the teleparallel gravity. In both cases, the results confirm the validity of the first law.