Hawking-Bekenstein entropy formula seems to tell us that no quantum degrees of freedom can reside in the interior of a black hole. We suggest that this is a consequence of the fact that the volume of any interior sphere of finite surface area simply vanishes. Obviously, this is not the case in general relativity. However, we show that such a phenomenon does occur in various gravitational theories which admit a spontaneously induced general relativity. In such theories, due to a phase transition (one parameter family degenerates) which takes place precisely at the would have been horizon, the recovered exterior Schwarzschild solution connects, by means of a self-similar transition profile, with a novel 'hollow' interior exhibiting a vanishing spatial volume and a locally varying Newton constant. This constitutes the so-called 'hollowgraphy' driven holography.
At Most One Inner Killing Horizon in Stationary Black Holes
Tianjin University（天津大学）；Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）；University of Chinese Academy of Sciences（中国科学院大学）；Hangzhou Institute for Advanced Study, UCAS（杭州高等研究院，中国科学院大学）
Channel-Resolved High-Overtone Quasinormal Modes Decode Kasner Scaling inside Black Holes
International Centre for Theoretical Physics Asia-Pacific (ICTP-AP), University of Chinese Academy of Sciences（国际理论物理中心亚太分部，中国科学院大学）；Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）；Hangzhou Institute for Advanced Study, UCAS（中国科学院大学杭州高等研究院）；School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）
Higher-dimensional BKL dynamics in AdS black holes
University of Texas, Austin（德克萨斯大学奥斯汀分校）；Universitat de Barcelona（巴塞罗那大学）；Durham University（杜伦大学）；Instituto de Física Teórica UAM/CSIC（UAM/CSIC理论物理研究所）
