Ruppeiner geometry and 2D dilaton gravity in the thermodynamics of black holes - High Energy Physics - TheoryReport as inadecuate




Ruppeiner geometry and 2D dilaton gravity in the thermodynamics of black holes - High Energy Physics - Theory - Download this document for free, or read online. Document in PDF available to download.

Abstract: We resolve the controversial issue of the geometric approach to the blackhole thermodynamics. The geometric description of the equilibriumthermodynamics comes from Ruppeiner geometry based on a metric on thethermodynamic state space. For this purpose, we consider theReissner-Nordstr\-om-AdS RN-AdS black hole which provides two differentensembles: canonical ensemble for fixed-charge case and grand canonicalensemble for fixed-potential case. Two cases are independent and cannot bemixed into each other. Hence, we calculate different Ruppeiner curvatures fortwo ensembles. However, we could not find the consistent behaviors of Ruppeinercurvature corresponding to those of heat capacity. Alternatively, instead ofthe Ruppeiner curvature, we newly propose the curvature scalar in the 2Ddilaton gravity approach which shows the features of extremal, Davies andminimum temperature points of RN-AdS black hole, clearly.



Author: Yun Soo Myung, Yong-Wan Kim, Young-Jai Park

Source: https://arxiv.org/







Related documents