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

By R. Konoplya, A. Zinhailo. The European Physical Journal C, 2020

244 citations recorded by the source corpus.

Recently a D-dimensional regularization approach leading to the non-trivial (3+1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(3+1)$$\end{document}-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 (-16M2<α⪅0.6M2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-16 M^2<\alpha \lessapprox 0.6 M^2$$\end{document}). The instability in the outer range is the eikonal one and it develops at high multipole numbers. The radius of the shadow RSh\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R_{Sh}$$\end{document} obeys the linear law with a remarkable accuracy.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0267aa711a90a094e2054edef149d247c0428c20

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Citations in the corpus

Shadows and photon spheres with spherical accretions in the four-dimensional Gauss–Bonnet black hole (2020, methodology): “The shadows cast by the spherically symmetric [32, 50] and rotating [51] four-dimensional Gauss-Bonnet black hole have also been studied.”
Innermost stable circular orbit and shadow of the 4D Einstein–Gauss–Bonnet black hole (2020, background): “So far, we find that all the four parameters that characterizing the size of a black hole, including the event horizon, ISCO, photon and shadow, are decreasing functions of the GB coupling constant Note that this looks different from the result in [31], as in their convention the event horizon is se”
Charged black holes in AdS spaces in 4D Einstein Gauss-Bonnet gravity (2020, methodology): “As an avenue of further research one may further study the thermodynamics of this solution as well as the quasinormal modes, shadows and the ISCO as done in [18, 19] for the vacuum solution.”
Influence of quintessence dark energy on the shadow of black hole (2020, background): “So far, the study of shadows of black holes has become a subject of great interest [12–39].”