Bernstein spectral method for quasinormal modes of a generic black hole spacetime and application ...

@article{76343,
   author = {Konoplya, Roman and Zhidenko, A.},
   article_number = {4},
   doi = {http://dx.doi.org/10.1103/PhysRevD.107.044009},
   keywords = {Mathematica code; quasinormal frequencies;Bernstein spectral method;black holes},
   language = {eng},
   issn = {2470-0010},
   journal = {Physical Review D},
   title = {Bernstein spectral method for quasinormal modes of a generic black hole spacetime and application to instability of dilaton-de Sitter solution},
   url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.107.044009},
   volume = {107},
   year = {2023}
}

TY  - JOUR
ID  - 76343
AU  - Konoplya, Roman - Zhidenko, A.
PY  - 2023
TI  - Bernstein spectral method for quasinormal modes of a generic black hole spacetime and application to instability of dilaton-de Sitter solution
JF  - Physical Review D
VL  - 107
IS  - 4
SP  - "044009-1"-"044009-9"
EP  - "044009-1"-"044009-9"
SN  - 24700010
KW  - Mathematica code
KW  - quasinormal frequencies;Bernstein spectral method;black holes
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.107.044009
N2  - We present the improved Mathematica code which computes quasinormal frequencies with the help of the Bernstein spectral method for a general class of black holes, allowing for asymptotically flat, de Sitter or anti-de Sitter asymptotic. The method is especially efficient when searching for purely imaginary and unstable modes, and here it is used for detecting the instability region of a charged scalar field in the background of the charged asymptotically de Sitter dilatonic black hole. We show that the instability has superradiant nature and the dilaton field essentially influences the region of instability.
ER  - 

KONOPLYA, Roman a A. ZHIDENKO. Bernstein spectral method for quasinormal modes of a generic black hole spacetime and application to instability of dilaton-de Sitter solution. \textit{Physical Review D}. 2023, roč.~107, č.~4, s.~''044009-1''-''044009-9'', 9 s. ISSN~2470-0010. Dostupné z: https://dx.doi.org/10.1103/PhysRevD.107.044009.