Kerr-Newman Black Hole Thermodynamical State Space: Blockwise Coordinates

Abstract

A coordinate system that blockwise-simplifies the Kerr-Newman black hole's thermodynamical state space Ruppeiner metric geometry is constructed, with discussion of the limiting cases corresponding to simpler black holes. It is deduced that one of the three conformal Killing vectors of the Reissner-Nordstrom and Kerr cases (whose thermodynamical state space metrics are 2 by 2 and conformally flat) survives generalization to the Kerr-Newman case's 3 by 3 thermodynamical state space metric.

4 pages incl 2 figs. Accepted by Gen. Rel. Grav. Replaced with Accepted version (minor corrections)

References in corpus (8)

• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• The Problem of Time and Quantum Cosmology in the Relational Particle Mechanics Arena
• Thermodynamical Metrics and Black Hole Phase Transitions
• Flat Information Geometries in Black Hole Thermodynamics
• A Commentary on Ruppeiner Metrics for Black Holes
• Thermodynamic Geometry and Hawking Radiation
• Relational Quadrilateralland. Analogues of Isospin and Hypercharge
• Information geometry of asymptotically AdS black holes

Cited by in corpus (3)

• Restricted thermodynamic fluctuations and the Ruppeiner geometry of black holes
• Einstein-Maxwell-Dilatonic phantom black holes: Thermodynamics and geometrothermodynamics
• Thermodynamic Metrics and Black Hole Physics