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CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses
- Publication Year :
- 2022
-
Abstract
- Using conformal field theory and localization tecniques we study the propagation of waves in gravity backgrounds described by Schr\"odinger like equations with Fuchsian singularities. Exact formulae for the connection matrices relating the asymptotic behaviour of the wave functions near the singularities are obtained in terms of braiding and fusion rules of the CFT. The results are applied to the study of quasi normal modes, absorption cross sections, amplification factors, echoes and tidal responses of black holes (BH) and exotic compact objects (ECO) in four and five dimensions. In particular, we propose a definition of dynamical Love numbers in gravity.<br />Comment: 32 pages, references and explanations added to match the referee's observations
- Subjects :
- High Energy Physics - Theory
General Relativity and Quantum Cosmology
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2206.09437
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP12(2022)115