  The gravitational Stefan-Boltzmann law is considered for the Kerr black hole
in the weak-field limit. The energy-momentum tensor predicted by
Teleparallelism Equivalent to General Relativity (TEGR) is used in the Thermo
Field Dynamics (TFD) formalism to thermalize the field. A temperature-dependent
gravitational pressure is obtained. Regions of divergent heat capacity are
observed. According to Landau theory, it allows the existence of distinct
phases around the Kerr black hole.
