On the Thermodynamic Geometry of BTZ Black Holes

Details On the Thermodynamic Geometry of BTZ Black Holes On the Thermodynamic Geometry of BTZ Black Holes

2006-06-09

arxiv.org/abs/hep-th/0606084v1

JHEP 0611:015,2006

Physics

High Energy Physics

High Energy Physics - Theory

1+17 pages, LaTeX, 4 eps figures

Scientific paper

10.1088/1126-6708/2006/11/015

We investigate the Ruppeiner geometry of the thermodynamic state space of a general class of BTZ black holes. It is shown that the thermodynamic geometry is flat for both the rotating BTZ and the BTZ Chern Simons black holes in the canonical ensemble. We further investigate the inclusion of thermal fluctuations to the canonical entropy of the BTZ Chern Simons black holes and show that the leading logartithmic correction due to Carlip is reproduced. We establish that the inclusion of thermal fluctuations induces a non zero scalar curvature to the thermodynamic geometry.

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