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arXiv · 2112.11869

Bardeen black hole in magnetically charged four-dimensional Einstein-Gauss-Bonnet gravity

Shu-Jun Zhang·He-Xu Zhang·Lei Shao·Jian-Bo Deng·Xian-Ru Hu
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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.

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Shu-Jun Zhang, He-Xu Zhang, Lei Shao, Jian-Bo Deng, Xian-Ru Hu. 2021-12-22. Bardeen black hole in magnetically charged four-dimensional Einstein-Gauss-Bonnet gravity. https://arxiv.org/abs/2112.11869

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