Bardeen black hole in magnetically charged four-dimensional Einstein-Gauss-Bonnet gravity
General Relativity and Quantum Cosmology
2021-12-23 v1
Abstract
In this paper, we investigate the shadow radius and quasinormal modes of a four-dimensional magnetically charged Einstein-Gauss-Bonnet Bardeen black hole and point out a simple connection between them in the eikonal limit. By studying a massless scalar field perturbation in this spacetime background and using the sixth-order Wentzel-Kramers-Brillouin(WKB) approximation, we get the quasinormal modes(QNMs) and perform a detailed analysis. It shows that the quasinormal modes are depend on the Gauss-Bonnet coupling constant and the magnetic charge. We also give a formula of the QNMs and shadow radius in the eikonal limit and check it numerically for the real and imaginary part of it, respectively.
Keywords
Cite
@article{arxiv.2112.11869,
title = {Bardeen black hole in magnetically charged four-dimensional Einstein-Gauss-Bonnet gravity},
author = {Shu-Jun Zhang and He-Xu Zhang and Lei Shao and Jian-Bo Deng and Xian-Ru Hu},
journal= {arXiv preprint arXiv:2112.11869},
year = {2021}
}
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21 pages