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Thermodynamic Geometry and Locally Anisotropic Black Holes | | Sergiu I. Vacaru
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17 May 1999 | | Subject: | gr-qc astro-ph hep-th | | Abstract: | Thermodynamic properties of locally anisotropic (2+1)-black holes are studied by applying geometric methods. We consider a new class of black holes with a constant in time elliptical event horizon which is imbedded in a generalized Finsler like spacetime geometry induced from Einstein gravity. The corresponding thermodymanic systems are three dimensional with entropy S being a hypersurface function on mass M, anisotropy angle $ heta$ and eccentricity of elliptic deformations $epsilon$. Two-dimensional curved thermodynamic geometries for locally anistropic deformed black holes are constructed after integration on anisotropic parameter $ heta$. Two approaches, the first one based on two-dimensional hypersurface parametric geometry and the second one developed in a Ruppeiner-Mrugala-Janyszek fashion, are analyzed. The thermodynamic curvatures are computed and the critical points of curvature vanishing are defined. | | Source: | arXiv, gr-qc/9905053 | | Services: | Forum | Review | PDF | Favorites | |
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