Generalized Laws of Black Hole Thermodynamics and Quantum Conservation Laws on Hawking Radiation Process
Wu, S. Q.
arxiv: General Relativity and Quantum Cosmology | Astrophysics::High Energy Astrophysical Phenomena
Four classical laws of black hole thermodynamics are extended from exterior (event) horizon to interior (Cauchy) horizon. Especially, the first law of classical thermodynamics for Kerr-Newman black hole (KNBH) is generalized to those in quantum form. Then five quantum conservation laws on the KNBH evaporation effect are derived in virtue of thermodynamical equilibrium conditions. As a by-product, Bekenstein-Hawking's relation $ S=A/4 $ is exactly recovered.