Thermodynamic Geometry and Topological Einstein-Yang-Mills Black Holes

Details Thermodynamic Geometry and Topological Einstein-Yang-Mills Black Holes Thermodynamic Geometry and Topological Einstein-Yang-Mills Black Holes

2011-10-19

arxiv.org/abs/1110.4230v2

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 16 figures. Keywords: Thermodynamic Geometry; Topological Einstein-Yang-Mills Black Holes; Higher Dimensional Gravit

Scientific paper

From the perspective of the statistical fluctuation theory, we explore the role of the thermodynamic geometries and vacuum (in)stability properties for the topological Einstein-Yang-Mills black holes. In this paper, from the perspective of the state-space surface and chemical Wienhold surface, we provide the criteria for the local and global statistical stability of an ensemble of topological Einstein-Yang-Mills black holes in arbitrary spacetime dimensions $D\ge 5$. Finally, as per the formulations of the thermodynamic geometry, we offer a parametric account of the statistical consequences in both the local and global fluctuation regimes of the topological Einstein-Yang-Mills black holes.

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