2012/06/30 by Edward Anderson · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Conformal map #Coordinate system #Cosmology and Gravitation Theories #Differential geometry #Generalization #Geometry #Gravitation #Kerr metric #Limiting #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Physics #Pulsars and Gravitational Waves Research #Rotating black hole #Schwarzschild radius #Space (punctuation) #State (computer science) #Theoretical physics #gr-qc
paper · pdf · doi:10.1007/s10714-013-1603-0
4 pages incl 2 figs. Accepted by Gen. Rel. Grav. Replaced with Accepted version (minor corrections)
openalex publication_date 2013/09/28 · arxiv created 2013/10/28 · arxiv updated 2015/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.