The Entropy Inside a Charged Black Hole Under Hawking Radiation
Christodoulou and Rovelli have revealed that black holes have big interiors that grow asymptotically linearly with advanced time. Even if the Hawking radiation is taken into account, such interiors remain large. Based on these findings, we investigate the relation between the entropy contained in the maximum interior volume of a charged black hole and the Bekenstein-Hawking entropy using an improved method. We find that, in the early stages of the radiation, the variation of the entropy is proportional to the variation of the Bekenstein-Hawking entropy. As the radiation progresses, the magnitude of the ratio will be gradually decreasing
KeywordsBlack hole thermodynamics Volume Entropy Information paradox Reissner-Nordstrom black hole Hawking radiation
Shan-Zhong Han is grateful to Jie Jiang for his useful opinions and suggestions.This work is supported by the National Natural Science Foundation of China(Grant No.11235003).