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Thermodynamic Geometry and Topological Einstein–Yang–Mills Black Holes
INFN-Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044 Frascati, Italy
* Author to whom correspondence should be addressed.
Received: 25 April 2012; in revised form: 8 June 2012 / Accepted: 11 June 2012 / Published: 13 June 2012
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
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Cite This Article
MDPI and ACS Style
Bellucci, S.; Tiwari, B.N. Thermodynamic Geometry and Topological Einstein–Yang–Mills Black Holes. Entropy 2012, 14, 1045-1078.
Bellucci S, Tiwari BN. Thermodynamic Geometry and Topological Einstein–Yang–Mills Black Holes. Entropy. 2012; 14(6):1045-1078.
Bellucci, Stefano; Tiwari, Bhupendra Nath. 2012. "Thermodynamic Geometry and Topological Einstein–Yang–Mills Black Holes." Entropy 14, no. 6: 1045-1078.