Geometrothermodynamics of black holes

摘要: The thermodynamics of black holes is reformulated within the context recently developed formalism geometrothermodynamics. This reformulation shown to be invariant with respect Legendre transformations, and allow several equivalent representations. invariance allows us explain a series contradictory results known in literature from use Weinhold’s Ruppeiner’s thermodynamic metrics for holes. For Reissner–Nordstrom hole geometry space equilibrium states curved, showing non trivial interaction, curvature contains information about critical points phase transitions. On contrary, Kerr flat does not its transition structure.