Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 7, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2020/07/066
Keywords
quantum black holes; gravitational waves / theory; gravity; quantum gravity phenomenology
Funding
- Basque Foundation of Science Ikerbasque
- Basque government (Spain) [IT956-16]
- MINECO/AEI/FEDER, UE [FIS2017-85076-P]
- Ministry of Science and Technology (MOST), Taiwan [107-2119-M-002-005]
- Leung Center for Cosmology and Particle Astrophysics (LeCosPA) of National Taiwan University
- Taiwan National Center for Theoretical Sciences (NCTS)
- MOST, Taiwan [108-2811-M-002-682]
- US Department of Energy [DE-AC03-76SF00515]
- Ministry of Science, ICT & Future Planning, Gyeongsangbuk-do and Pohang City
- National Research Foundation of Korea grant [2018R1D1A1B07049126]
- NSERC
- Canada Research Chair program
- McGill Space Institute fellowship
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We investigate the interior structure, perturbations, and the associated quasinormal modes of a quantum black hole model recently proposed by Bodendorfer, Mele, and Munch (BMM). Within the framework of loop quantum gravity, the quantum parameters in the BMM model are introduced through polymerization, consequently replacing the Schwarzschild singularity with a spacelike transition surface. By treating the quantum geometry corrections as an 'effective' matter contribution, we first prove the violation of energy conditions (in particular the null energy condition) near the transition surface and then investigate the required junction conditions on it. In addition, we study the quasinormal modes of massless scalar field perturbations, electromagnetic perturbations, and axial gravitational perturbations in this effective model. As expected, the quasinormal spectra deviate from their classical counterparts in the presence of quantum corrections. Interestingly, we find that the quasinormal frequencies of perturbations with different spins share the same qualitative tendency with respect to the change of the quantum parameters in this model.
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