Thermodynamic Geometry and Topological Einstein–Yang–Mills Black Holes

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 Weinhold surface of hig...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2012-06, Vol.14 (6), p.1045-1078
Main Authors: Bellucci, Stefano, Tiwari, Bhupendra Nath
Format: Article
Language:English
Subjects:
Black holes
cosmological constant
higher dimensional gravity
thermodynamic geometry
topological Einstein–Yang–Mills black holes
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Summary: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 Weinhold surface of higher dimensional gravity, 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 ≥ 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 extremal Einstein–Yang–Mills black holes.
ISSN:1099-4300
1099-4300
DOI:10.3390/e14061045