Quantum corrections to thermodynamic quantities because of spin fields and the generalized uncertainty principle

The entropy density, energy density, pressure, and equation of state for the perfect relativistic gas with arbitrary spin s ≤ 2 around Schwarzschild - anti-de Sitter black holes with a global monopole are investigated by using the modified state density from the generalized uncertainty principle. It is shown that all the thermodynamic quantities do not take the same forms as those in flat space-time and include terms depending on the spin and the gravity correction factor. The existence of these additional terms is closely related to conformal anomalies in curved space-time and the not-purely thermal radiation of black hole. (author)