TY - JOUR
T1 - Quasinormal Frequencies of a Two-Dimensional Asymptotically Anti-de Sitter Black Hole of the Dilaton Gravity Theory
AU - Hernández-Velázquez, M. I.
AU - López-Ortega, A.
N1 - Publisher Copyright:
© Copyright © 2021 Hernández-Velázquez and López-Ortega.
PY - 2021/8/20
Y1 - 2021/8/20
N2 - We numerically calculate the quasinormal frequencies of the Klein-Gordon and Dirac fields propagating in a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory. For the Klein-Gordon field we use the Horowitz-Hubeny method and the asymptotic iteration method for second order differential equations. For the Dirac field we first exploit the Horowitz-Hubeny method. As a second method, instead of using the asymptotic iteration method for second order differential equations, we propose to take as a basis its formulation for coupled systems of first order differential equations. For the two fields we find that the results that produce the two numerical methods are consistent. Furthermore for both fields we obtain that their quasinormal modes are stable and we compare their quasinormal frequencies to analyze whether their spectra are isospectral. Finally we discuss the main results.
AB - We numerically calculate the quasinormal frequencies of the Klein-Gordon and Dirac fields propagating in a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory. For the Klein-Gordon field we use the Horowitz-Hubeny method and the asymptotic iteration method for second order differential equations. For the Dirac field we first exploit the Horowitz-Hubeny method. As a second method, instead of using the asymptotic iteration method for second order differential equations, we propose to take as a basis its formulation for coupled systems of first order differential equations. For the two fields we find that the results that produce the two numerical methods are consistent. Furthermore for both fields we obtain that their quasinormal modes are stable and we compare their quasinormal frequencies to analyze whether their spectra are isospectral. Finally we discuss the main results.
KW - 2D AdS black hole
KW - asymptotic iteration method
KW - Horowitz-Hubeny method
KW - Klein-Gordon and Dirac fields
KW - quasinormal frequencies
KW - Agujero negro de anuncios 2D
KW - método de iteración asintótica
KW - método de Horowitz-Hubeny
KW - campos de Klein-Gordon y Dirac
KW - frecuencias cuasinormales
UR - http://www.scopus.com/inward/record.url?scp=85117959916&partnerID=8YFLogxK
U2 - 10.3389/fspas.2021.713422
DO - 10.3389/fspas.2021.713422
M3 - Artículo
AN - SCOPUS:85117959916
SN - 2296-987X
VL - 8
JO - Frontiers in Astronomy and Space Sciences
JF - Frontiers in Astronomy and Space Sciences
M1 - 713422
ER -