TY - JOUR
T1 - Scalar quasinormal modes for 2 + 1 -dimensional Coulomb-like AdS black holes from nonlinear electrodynamics
AU - Aragón, Almendra
AU - González, P. A.
AU - Saavedra, Joel
AU - Vásquez, Yerko
N1 - Funding Information:
We thank the referee for his/her careful review of the manuscript and his/her valuable comments and suggestions which helped us to improve the manuscript. This work is partially supported by ANID Chile through FONDECYT Grant No 1210635 (J. S.).
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2021/10
Y1 - 2021/10
N2 - We study the propagation of scalar fields in the background of 2 + 1 -dimensional Coulomb-like AdS black holes, and we show that such propagation is stable under Dirichlet boundary conditions. Then, we solve the Klein–Gordon equation by using the pseudospectral Chebyshev method and the Horowitz–Hubeny method, and we find the quasinormal frequencies. Mainly, we find that the quasinormal frequencies are purely imaginary for a null angular number and they are complex and purely imaginary for a non-null value of the angular number, which depend on the black hole charge, angular number and overtone number. On the other hand, the effect of the inclusion of a Coulomb-like field from nonlinear electrodynamics to general relativity for a vanishing angular number is the emergence of two branches of quasinormal frequencies in contrast with the static BTZ black hole.
AB - We study the propagation of scalar fields in the background of 2 + 1 -dimensional Coulomb-like AdS black holes, and we show that such propagation is stable under Dirichlet boundary conditions. Then, we solve the Klein–Gordon equation by using the pseudospectral Chebyshev method and the Horowitz–Hubeny method, and we find the quasinormal frequencies. Mainly, we find that the quasinormal frequencies are purely imaginary for a null angular number and they are complex and purely imaginary for a non-null value of the angular number, which depend on the black hole charge, angular number and overtone number. On the other hand, the effect of the inclusion of a Coulomb-like field from nonlinear electrodynamics to general relativity for a vanishing angular number is the emergence of two branches of quasinormal frequencies in contrast with the static BTZ black hole.
KW - Black holes
KW - Gravity in 2 + 1 dimensions
KW - Quasinormal modes
UR - http://www.scopus.com/inward/record.url?scp=85117422987&partnerID=8YFLogxK
U2 - 10.1007/s10714-021-02864-6
DO - 10.1007/s10714-021-02864-6
M3 - Article
AN - SCOPUS:85117422987
VL - 53
JO - General Relativity and Gravitation
JF - General Relativity and Gravitation
SN - 0001-7701
IS - 10
M1 - 91
ER -