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Thermodynamics of Regular Cosmological Black Holes with the de Sitter Interior
Entropy 2012, 14(6), 1045-1078; doi:10.3390/e14061045
Article

Thermodynamic Geometry and Topological Einstein–Yang–Mills Black Holes

*  and
INFN-Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044 Frascati, Italy
* Author to whom correspondence should be addressed.
Received: 25 April 2012 / Revised: 8 June 2012 / Accepted: 11 June 2012 / Published: 13 June 2012
(This article belongs to the Special Issue Black Hole Thermodynamics)
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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 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.
Keywords: thermodynamic geometry; topological Einstein–Yang–Mills black holes; higher dimensional gravity; cosmological constant thermodynamic geometry; topological Einstein–Yang–Mills black holes; higher dimensional gravity; cosmological constant
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Bellucci, S.; Tiwari, B.N. Thermodynamic Geometry and Topological Einstein–Yang–Mills Black Holes. Entropy 2012, 14, 1045-1078.

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