Modifications to the Thermodynamic Quantities around Reissner–Nordström Black Holes Due to the Generalized Uncertainty Principle

Abstract

The thermodynamic quantities for the Weyl neutrino, electromagnetic, massless Rarita–Schwinger and gravitational fields around a Reissner–Nordstrom black hole are investigated by using the modified state density due to a generalized uncertainty principle. In addition to the usual leading term, these quantities include additional modifications, which not only depend on the black hole characteristics but also on the spin of the field and the gravity correction factor. Moreover, the new equation of state showes that the trace of the stress tensor is non-zero. The result is consistent with the conformal anomaly.