Thermodynamic properties of Schwarzschild black hole in non-commutative gauge theory of gravity

In this paper, we use the non-commutative (NC) gauge theory of gravity to investigate thermodynamic properties a deformed Schwarzschild Black Hole (SBH). Our results present new scenario black hole evaporation. As first step, describe Arnowitt-Deser-Misner (ADM) mass, Hawking temperature, and entropy NC SBH. The non-commutativity removes divergent behavior result shows difference in pole-equator temperature. These corrections also reveal fundamental length at Planck scale order, Θ∼10−35m. last stage evaporation, correction exposes remnant S0Θ SBH with minimal mass mˆ0, where prevents from evaporating more than mass. Then, description heat capacity Helmholtz free energy effect on stability phase transitions. Finally, influence pressure transition space–time. final scenario, is thermodynamically stable. study, find that parameter plays role similar variable. show second-order