The instability of the inner horizon of the quantum-corrected black hole

被引:5
作者
Cao, Li-Ming [1 ,2 ]
Li, Long-Yue [2 ]
Wu, Liang-Bi [2 ]
Zhou, Yu-Sen [2 ]
机构
[1] Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China
[2] Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
来源
EUROPEAN PHYSICAL JOURNAL C | 2024年 / 84卷 / 05期
基金
中国国家自然科学基金;
关键词
GRAVITATIONAL COLLAPSE; PERTURBATIONS;
D O I
10.1140/epjc/s10052-024-12832-4
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We analyse the stability of the inner horizon of the quantum-corrected black hole which is proposed in loop quantum gravity as the exterior of the quantum Oppenheimer-Snyder and Swiss Cheese models. It is shown that the flux and energy density of a test scalar field measured by free-falling observers are both divergent near the Cauchy horizon. By considering the generalized Dray-'t Hooft-Redmond relation which is independent of the field equation, we find that the mass inflation always happens and the scalar curvature and Kretschmann scalar are also divergent on the inner horizon. These suggest that the inner horizon is unstable and will probably turn into a null singularity.The results support the strong cosmic censorship hypothesis.However, this also implies that the quantum corrected model may not be the definitive endpoint as a regular black hole.Besides, it further proposes that it may be challenging to observe the astronomical phenomenon which depends on the existence of the inner horizon of the black hole
引用
收藏
页数:11
相关论文
共 47 条
[1]   First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole [J].
Akiyama, Kazunori ;
Alberdi, Antxon ;
Alef, Walter ;
Asada, Keiichi ;
Azulay, Rebecca ;
Baczko, Anne-Kathrin ;
Ball, David ;
Balokovic, Mislav ;
Barrett, John ;
Bintley, Dan ;
Blackburn, Lindy ;
Boland, Wilfred ;
Bouman, Katherine L. ;
Bower, Geoffrey C. ;
Bremer, Michael ;
Brinkerink, Christiaan D. ;
Brissenden, Roger ;
Britzen, Silke ;
Broderick, Avery E. ;
Broguiere, Dominique ;
Bronzwaer, Thomas ;
Byun, Do-Young ;
Carlstrom, John E. ;
Chael, Andrew ;
Chan, Chi-kwan ;
Chatterjee, Shami ;
Chatterjee, Koushik ;
Chen, Ming-Tang ;
Chen, Yongjun ;
Cho, Ilje ;
Christian, Pierre ;
Conway, John E. ;
Cordes, James M. ;
Crew, Geoffrey B. ;
Cui, Yuzhu ;
Davelaar, Jordy ;
De Laurentis, Mariafelicia ;
Deane, Roger ;
Dempsey, Jessica ;
Desvignes, Gregory ;
Dexter, Jason ;
Doeleman, Sheperd S. ;
Eatough, Ralph P. ;
Falcke, Heino ;
Fish, Vincent L. ;
Fomalont, Ed ;
Fraga-Encinas, Raquel ;
Freeman, William T. ;
Friberg, Per ;
Fromm, Christian M. .
ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)
[2]   Quantum nature of the big bang [J].
Ashtekar, A ;
Pawlowski, T ;
Singh, P .
PHYSICAL REVIEW LETTERS, 2006, 96 (14)
[3]  
Bambi C, 2023, Arxiv, DOI arXiv:2307.13249
[4]  
Bardeen J.M., 1968, C P GR5, P174
[5]   (b, v)-type variables for black to white hole transitions in effective loop quantum gravity [J].
Bodendorfer, Norbert ;
Mele, Fabio M. ;
Muench, Johannes .
PHYSICS LETTERS B, 2021, 819
[6]   Mass and horizon Dirac observables in effective models of quantum black-to-white hole transition [J].
Bodendorfer, Norbert ;
Mele, Fabio M. ;
Munch, Johannes .
CLASSICAL AND QUANTUM GRAVITY, 2021, 38 (09)
[7]   Renormalization group improved black hole spacetimes [J].
Bonanno, A ;
Reuter, M .
PHYSICAL REVIEW D, 2000, 62 (04) :21
[8]   Testing Loop Quantum Gravity from Observational Consequences of Nonsingular Rotating Black Holes [J].
Brahma, Suddhasattwa ;
Chen, Che-Yu ;
Yeom, Dong-han .
PHYSICAL REVIEW LETTERS, 2021, 126 (18)
[9]   Stability of self-dual black holes [J].
Brown, Eric ;
Mann, Robert ;
Modesto, Leonardo .
PHYSICS LETTERS B, 2011, 695 (1-4) :376-383
[10]   Mass inflation in the loop black hole [J].
Brown, Eric G. ;
Mann, Robert ;
Modesto, Leonardo .
PHYSICAL REVIEW D, 2011, 84 (10)