Author:
Konoplya R. A.,Zinhailo A. F.
Abstract
AbstractRecently a D-dimensional regularization approach leading to the non-trivial $$(3+1)$$
(
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 quasinormal 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 ($$-16 M^2<\alpha \lessapprox 0.6 M^2$$
-
16
M
2
<
α
⪅
0.6
M
2
). The instability in the outer range is the eikonal one and it develops at high multipole numbers. The radius of the shadow $$R_{Sh}$$
R
Sh
obeys the linear law with a remarkable accuracy.
Funder
Grantová Agentura České Republiky
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Cited by
127 articles.
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