Black Holes: Fermions at the Extremal Limit?

Details Black Holes: Fermions at the Extremal Limit? Black Holes: Fermions at the Extremal Limit?

2007-11-27

arxiv.org/abs/0711.4328v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 page article, 1 Table, 1 Figure

Scientific paper

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.

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