The Entropy Inside a Charged Black Hole Under Hawking Radiation

被引:12
作者
Han, Shan-Zhong [1 ]
Yang, Jian-Zhi [1 ]
Wang, Xin-Yang [1 ]
Liu, Wen-Biao [1 ]
机构
[1] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
基金
中国国家自然科学基金;
关键词
Black hole thermodynamics; Volume; Entropy; Information paradox; Reissner-Nordstrom black hole; Hawking radiation; EVAPORATION; VOLUME;
D O I
10.1007/s10773-018-3856-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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
引用
收藏
页码:3429 / 3435
页数:7
相关论文
共 22 条
[1]   Black hole evaporation: a paradigm [J].
Ashtekar, A ;
Bojowald, M .
CLASSICAL AND QUANTUM GRAVITY, 2005, 22 (16) :3349-3362
[2]  
Ballik W., ARXIV10051116GRQC
[3]   Vector volume and black holes [J].
Ballik, William ;
Lake, Kayll .
PHYSICAL REVIEW D, 2013, 88 (10)
[4]   Black holes: Their large interiors [J].
Bengtsson, Ingemar ;
Jakobsson, Emma .
MODERN PHYSICS LETTERS A, 2015, 30 (21)
[5]  
Bhaumik N., ARXIV160703704GRQC
[6]   Black hole remnants and the information loss paradox [J].
Chen, P. ;
Ong, Y. C. ;
Yeom, D-h. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2015, 603 :1-45
[7]   Volume inside old black holes [J].
Christodoulou, Marios ;
De Lorenzo, Tommaso .
PHYSICAL REVIEW D, 2016, 94 (10)
[8]   How big is a black hole? [J].
Christodoulou, Marios ;
Rovelli, Carlo .
PHYSICAL REVIEW D, 2015, 91 (06)
[9]   Black hole enthalpy and an entropy inequality for the thermodynamic volume [J].
Cvetic, M. ;
Gibbons, G. W. ;
Kubiznak, D. ;
Pope, C. N. .
PHYSICAL REVIEW D, 2011, 84 (02)
[10]   The volume inside a black hole [J].
DiNunno, Brandon S. ;
Matzner, Richard A. .
GENERAL RELATIVITY AND GRAVITATION, 2010, 42 (01) :63-76