Extrinsic and intrinsic curvatures in thermodynamic geometry

DOI10.1016/j.physletb.2016.05.096zbMath1367.83052arXiv1602.03066OpenAlexW2416607504MaRDI QIDQ2012402

Behrouz Mirza, Seyed Ali Hosseini Mansoori, Elham Sharifian

Publication date: 31 July 2017

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03066

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (10)

Microscopic explanation for black hole phase transitions via Ruppeiner geometry: two competing factors -- the temperature and repulsive interaction among BH molecules ⋮ Thermogeometric study of van der Waals like phase transition in black holes: an alternative approach ⋮ Thermodynamic geometry of normal (exotic) BTZ black hole regarding to the fluctuation of cosmological constant ⋮ Thermodynamical stability of \(f(R)\)-AdS black holes in grand canonical ensemble ⋮ Extrinsic curvature in geometrothermodynamics ⋮ Corrected thermodynamics and geometrothermodynamics for anti-de Sitter black hole ⋮ Geometrothermodynamics as a singular conformal thermodynamic geometry ⋮ Effect of dark energy in geometrothermodynamics and phase transitions of regular Bardeen AdS black hole ⋮ Nonperturbative thermodynamic geometry of nonextensive statistics ⋮ Contact geometry and thermodynamics

Cites Work

• Black holes and critical points in moduli space
• Geometry of black hole thermodynamics
• The four laws of black hole mechanics
• Thermodynamic geometry of deformed bosons and fermions
• THERMODYNAMIC GEOMETRY AND CRITICAL BEHAVIOR OF BLACK HOLES
• A COMMENTARY ON RUPPEINER METRICS FOR BLACK HOLES
• A Relativist's Toolkit
• Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories
• Black Holes and Entropy
• Riemannian geometry and stability of thermodynamical equilibrium systems

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