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arxiv: 0911.2123 · v2 · submitted 2009-11-11 · ✦ hep-th · gr-qc

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Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law

Rabin Banerjee , Sunandan Gangopadhyay , Sujoy Kumar Modak
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classification ✦ hep-th gr-qc
keywords noncommutativearea-lawblackcorrectedeffectsentropyholeproduct
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We show the importance of the Voros product in defining a noncommutative Schwarzschild black hole. The corrected entropy/area-law is then computed in the tunneling formalism. Two types of corrections are considered; one, due to the effects of noncommutativity and the other, due to the effects of going beyond the semiclassical approximation. The leading correction to the semiclassical entropy/area-law is logarithmic and its coefficient involves the noncommutative parameter.

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  1. Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes

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    κ-deformation induces critical behavior and phase transitions in uncharged Schwarzschild-AdS black holes with Pc vc/Tc ≈ 0.37 independent of κ and a double-loop G-T structure.