Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity

@article{49140,
   author = {Konoplya, Roman and Zinhailo, Antonina Frantsivna},
   article_number = {11},
   doi = {http://dx.doi.org/10.1140/epjc/s10052-020-08639-8},
   keywords = {SYMMETRICAL-SOLUTIONS; MASTER-EQUATIONS; PERTURBATIONS; TENSOR},
   language = {eng},
   issn = {1434-6044},
   journal = {European Physical Journal C},
   title = {Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity},
   url = {https://epjc.epj.org/articles/epjc/abs/2020/11/10052_2020_Article_8639/10052_2020_Article_8639.html},
   volume = {80},
   year = {2020}
}

TY  - JOUR
ID  - 49140
AU  - Konoplya, Roman - Zinhailo, Antonina Frantsivna
PY  - 2020
TI  - Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity
JF  - European Physical Journal C
VL  - 80
IS  - 11
SP  - "1049-1"-"1049-13"
EP  - "1049-1"-"1049-13"
SN  - 14346044
KW  - SYMMETRICAL-SOLUTIONS
KW  - MASTER-EQUATIONS
KW  - PERTURBATIONS
KW  - TENSOR
UR  - https://epjc.epj.org/articles/epjc/abs/2020/11/10052_2020_Article_8639/10052_2020_Article_8639.html
N2  - Recently a D-dimensional regularization approach leading to the non-trivial (3 + 1)-dimensional Einstein-Gauss-Bonnet (EGB) effective description of gravity was formulated which was claimed to bypass the Lovelock's theorem and avoid Ostrogradsky instability. Later it was shown that the regularization is possible only for some broad, but limited, class of metrics and Aoki et al. (arXiv:2005.03859) formulated a well-defined four-dimensional EGB theory, which breaks the Lorentz invariance in a theoretically consistent and observationally viable way. The black-hole solution of the first naive approach proved out to be also the exact solution of the well-defined theory. Here we calculate quasi-normal modes of scalar, electromagnetic and gravitational perturbations and find the radius of shadow for spherically symmetric and asymptotically flat black holes with Gauss-Bonnet corrections. We show that the black hole is gravitationally stable when (-16M(2) < alpha less than or similar to 0.6M(2)). The instability in the outer range is the eikonal one and it develops at high multipole numbers. The radius of the shadow R-Sh obeys the linear law with a remarkable accuracy.
ER  - 

KONOPLYA, Roman and Antonina Frantsivna ZINHAILO. Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity. \textit{European Physical Journal C}. 2020, vol.~80, No~11, p.~''1049-1''-''1049-13'', 13 pp. ISSN~1434-6044. Available from: https://dx.doi.org/10.1140/epjc/s10052-020-08639-8.