The instability of the inner horizon of the quantum-corrected black hole
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 observer...
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| Published in | The European physical journal. C, Particles and fields Vol. 84; no. 5; pp. 507 - 11 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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01.05.2024
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| Abstract | 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 |
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| AbstractList | 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 Abstract 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 |
| ArticleNumber | 507 |
| Audience | Academic |
| Author | Li, Long-Yue Cao, Li-Ming Wu, Liang-Bi Zhou, Yu-Sen |
| Author_xml | – sequence: 1 givenname: Li-Ming surname: Cao fullname: Cao, Li-Ming organization: Peng Huanwu Center for Fundamental Theory, Department of Modern Physics, Interdisciplinary Center for Theoretical Study, University of Science and Technology of China – sequence: 2 givenname: Long-Yue surname: Li fullname: Li, Long-Yue email: lily26@mail.ustc.edu.cn organization: Department of Modern Physics, Interdisciplinary Center for Theoretical Study, University of Science and Technology of China – sequence: 3 givenname: Liang-Bi surname: Wu fullname: Wu, Liang-Bi organization: Department of Modern Physics, Interdisciplinary Center for Theoretical Study, University of Science and Technology of China – sequence: 4 givenname: Yu-Sen surname: Zhou fullname: Zhou, Yu-Sen organization: Department of Modern Physics, Interdisciplinary Center for Theoretical Study, University of Science and Technology of China |
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| Snippet | 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... Abstract 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... |
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| Title | The instability of the inner horizon of the quantum-corrected black hole |
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