2018/05/11 by Grigoris Panotopoulos
Physics and Astronomy · #Astrophysical Phenomena and Observations #BTZ black hole #Black Holes and Theoretical Physics #Coupling constant #Differential geometry #Hypergeometric function #Massless particle #Noncommutative and Quantum Gravity Theories #Quasinormal mode #Scalar (mathematics) #Scalar field #Spectrum (functional analysis) #WKB approximation #hep-th
paper · pdf · doi:10.1007/s10714-018-2381-5
16 pages, 2 figures, 3 tables
openalex publication_date 2018/05/11 · arxiv created 2018/05/12 · arxiv updated 2018/05/15 · openalex created_date 2018/05/17 · openalex updated_date 2026/08/05
We perturb the non-rotating BTZ black hole with a non-minimally coupled massless scalar field, and we compute the quasinormal spectrum exactly. We solve the radial equation in terms of hypergeometric functions, and we obtain an analytical expression for the quasinormal frequencies. In addition, we compare our analytical results with the 6th order semi-analytical WKB method, and we find an excellent agreement. The impact of the nonminimal coupling as well as of the cosmological constant on the quasinormal spectrum is briefly discussed.