Thermodynamics of toroidal black holes

The thermodynamical properties of toroidal black holes in the grand canonical ensemble are investigated using York's formalism. The black hole is enclosed in a cavity with finite radius where the temperature and electrostatic potential are fixed. The boundary conditions allow one to compute the relevant thermodynamical quantities, e.g., thermal energy, entropy, and specific heat. This black hole is thermodynamically stable and dominates the grand partition function. This means that there is no phase transition, such as the one encountered for spherical black holes. (C) 2000 American Institute of Physics. [S0022-2488(00)05805-9].