Black Holes: Fermions at the Extremal Limit?

2007/11/27 by George Ruppeiner, Ruppeiner, George · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.48550/arxiv.0711.4328

12 page article, 1 Table, 1 Figure

arxiv created 2007/11/27 · openalex publication_date 2007/11/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

I present exact results matching Kerr-Newman Black Hole thermodynamics in the extremal limit to the two-dimensional Fermi Gas. Two dimensions are consistent with the membrane paradigm of black holes. Key in the analysis is the thermodynamic Riemannian curvature scalar R, negative for most ordinary thermodynamic systems, including those near the critical point, but mostly positive for the Kerr-Newman Black Hole and the Fermi Gas.

Cited by

• Thermodynamic Geometry and Phase Transitions of Dyonic Charged AdS Black\n Holes
• Thermodynamic geometry of black holes in the canonical ensemble

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