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arXiv · 1110.4230

Thermodynamic Geometry and Topological Einstein-Yang-Mills Black Holes

Stefano Bellucci·Bhupendra Nath Tiwari
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Abstract

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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Stefano Bellucci, Bhupendra Nath Tiwari. 2011-10-19. Thermodynamic Geometry and Topological Einstein-Yang-Mills Black Holes. https://doi.org/10.3390/e14061045

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