For a deformed AdS-Schwarzschild black hole, increasing the deformation parameter raises the Hawking-Page temperature, while thermal corrections mainly alter small-horizon thermodynamics and leave second-order phase transitions unchanged.
Noncommutative correction to the entropy of Schwarzschild black hole with GUP
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abstract
In this paper we study through tunneling formalism, the effect of noncommutativity to Hawking radiation and the entropy of the noncommutative Schwarzschild black hole. In our model we have considered the noncommutativity implemented via the Lorentzian distribution. We obtain non-commutative corrections to the Hawking temperature using the Hamilton-Jacobi method and the Wentzel-Kramers-Brillouin (WKB) approximation. In addition, we found corrections of the logarithmic and other types due to noncommutativity and quantum corrections from the generalized uncertainty principle (GUP) for the entropy of the Schwarzschild black hole.
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Thermodynamics of deformed AdS-Schwarzschild black holes in the presence of Thermal fluctuations
For a deformed AdS-Schwarzschild black hole, increasing the deformation parameter raises the Hawking-Page temperature, while thermal corrections mainly alter small-horizon thermodynamics and leave second-order phase transitions unchanged.