Quasinormal modes of magnetized black hole

@article{36725,
   author = {Turimov, Bobur and Toshmatov, Bobir and Ahmedov, Bobomurot and Stuchlík, Zdeněk},
   article_number = {8},
   doi = {http://dx.doi.org/10.1103/PhysRevD.100.084038},
   keywords = {magnetized black hole; quasinormal modes; stability},
   language = {eng},
   issn = {2470-0010},
   journal = {Physical Review D},
   title = {Quasinormal modes of magnetized black hole},
   url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.100.084038},
   volume = {100},
   year = {2019}
}

TY  - JOUR
ID  - 36725
AU  - Turimov, Bobur - Toshmatov, Bobir - Ahmedov, Bobomurot - Stuchlík, Zdeněk
PY  - 2019
TI  - Quasinormal modes of magnetized black hole
JF  - Physical Review D
VL  - 100
IS  - 8
SP  - "084038-1"-"084038-8"
EP  - "084038-1"-"084038-8"
SN  - 24700010
KW  - magnetized black hole
KW  - quasinormal modes
KW  - stability
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.100.084038
L2  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.100.084038
N2  - We investigate a charged, massive scalar field around a static, spherically symmetric black hole immersed into an external asymptotically uniform magnetic field B. It is shown that for given multipole number l there are 2l + 1 numbers of modes due to the Zeeman effect appearing by an interaction of the external magnetic and charged scalar fields introducing an effective mass of the scalar field mu_(eff) = square root (mu^2 - mqB) where m is the azimuthal number and q is the charge coupling constant. We calculate threshold value of effective mass in which quasinormal modes are arbitrarily long lived and beyond that value quasinormal modes vanish. In the case of mqB < 0 quasinormal modes are longer lived with larger oscillation frequencies. Whenever, magnetic and massive scalar fields satisfies condition mu^(2)_(eff) < 0, an instability appears, i.e., if qB > 0 or qB < 0 there is an instability for the values of azimuthal number m > mu^2/qB or m < mu^2/qB, respectively.
ER  - 

TURIMOV, Bobur, Bobir TOSHMATOV, Bobomurot AHMEDOV and Zdeněk STUCHLÍK. Quasinormal modes of magnetized black hole. \textit{Physical Review D}. 2019, vol.~100, No~8, p.~''084038-1''-''084038-8'', 8 pp. ISSN~2470-0010. Available from: https://dx.doi.org/10.1103/PhysRevD.100.084038.