A Simple, Approximate Method for Analysis of Kerr-Newman Black Hole Dynamics and Thermodynamics

• Main Authors: Ciganović, S., Panković, V., Glavatović, R.
• Format: Article
• Language: English
• Published: Astronomical Observatory, Department of Astronomy, Belgrade 2009-06-01
• Series: Serbian Astronomical Journal
• Subjects: Black hole physics
• Online Access: http://saj.matf.bg.ac.rs/178/pdf/039-044.pdf

In this work we present a simple approximate method for analysisof the basic dynamical and thermodynamical characteristics ofKerr-Newman black hole. Instead of the complete dynamics of theblack hole self-interaction, we consider only the stable(stationary) dynamical situations determined by condition that theblack hole (outer) horizon "circumference" holds the integernumber of the reduced Compton wave lengths corresponding to massspectrum of a small quantum system (representing the quantum of theblack hole self-interaction). Then, we show that Kerr-Newmanblack hole entropy represents simply the ratio of the sum ofstatic part and rotation part of the mass of black hole on onehand, and the ground mass of small quantum system on the other hand.Also we show that Kerr-Newman black hole temperature representsthe negative value of the classical potential energy ofgravitational interaction between a part of black hole withreduced mass and a small quantum system in the ground mass quantumstate. Finally, we suggest a bosonic great canonical distributionof the statistical ensemble of given small quantum systems in thethermodynamical equilibrium with (macroscopic) black hole asthermal reservoir. We suggest that, practically, only the ground massquantum state is significantly degenerate while all the other, excitedmass quantum states, are non-degenerate. Kerr-Newman black holeentropy is practically equivalent to the ground mass quantum statedegeneration. Given statistical distribution admits a rough(qualitative) but simple modeling of Hawking radiation of theblack hole too.