J
2020
Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity
KONOPLYA, Roman and Antonina Frantsivna ZINHAILO
Basic information
Original name
Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity
Edition
European Physical Journal C, 2020, 1434-6044
Other information
Type of outcome
Článek v odborném periodiku
Field of Study
10303 Particles and field physics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/47813059:19630/20:A0000008
Organization unit
Institute of physics in Opava
Keywords in English
SYMMETRICAL-SOLUTIONS; MASTER-EQUATIONS; PERTURBATIONS; TENSOR
Tags
International impact, Reviewed
Links
GA19-03950S, research and development project.
V originále
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.
Displayed: 25/12/2024 07:40