Anholonomic Frames and Thermodynamic Geometry of 3D Black Holes

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dc.creatorVacaru, Sergiu I.
dc.creatorStavrinos, Panayiotis
dc.creatorGontsa, Denis
dc.date2001-06-21
dc.date2002-07-11
dc.date.accessioned2026-07-07T06:29:23Z
dc.date.available2026-07-07T06:29:23Z
dc.descriptionWe study new classes three dimensional black hole solutions of Einstein equations written in two holonomic and one anholonomic variables with respect to anholonomic frames Thermodynamic properties of such (2+1)-black holes with generic local anisotropy (having elliptitic horizons) are studied by applying geometric methods. The corresponding thermodynamic systems are three dimensional with entropy S being a hypersurface function on mass M, anisotropy angle $θ$ and eccentricity of elliptic deformations $ε>.$ Two-dimensional curved thermodynamic geometries for locally anistropic deformed black holes are constructed after integration on anisotropic parameter $θ$. 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.
dc.descriptionLatex, affiliations changed, new references and minor corrections
dc.identifierhttps://arxiv.org/abs/gr-qc/0106069
dc.identifierhttp://arxiv.org/abs/gr-qc/0106069
dc.identifierChapter 6 in: "Clifford and Riemann Finsler Structures in Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. Stavrinos, E. Gaburov and D. Gonta (Geometry Balkan Press, 2006) http://www.mathem.pub.ro/dgds/mono/va-t.pdf
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98010
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleAnholonomic Frames and Thermodynamic Geometry of 3D Black Holes
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