We derive the transformation properties of the internal energy and Kodama temperature of dynamical (spherically symmetric) black hole solutions generated through spacetime mappings. We use the Sultana-Dyer black hole and the Reissner-Nordström solution to provide prototypical examples testing our transformation formulae.
Thermodynamics of apparent horizons under conformal and Kerr-Schild maps1
Vitagliano V.
2014-01-01
Abstract
We derive the transformation properties of the internal energy and Kodama temperature of dynamical (spherically symmetric) black hole solutions generated through spacetime mappings. We use the Sultana-Dyer black hole and the Reissner-Nordström solution to provide prototypical examples testing our transformation formulae.
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