论文标题
4D爱因斯坦 - 加斯 - 邦纳特黑洞的双阴影及其与准模式之间的联系
Double shadow of a 4D Einstein-Gauss-Bonnet black hole and their connection between with quasinormal modes
论文作者
论文摘要
在本文中，我们研究了4D爱因斯坦 - 加斯 - 邦纳特黑洞的阴影作为光子夫妇到Weyl张量，并发现光的传播取决于其极化，这导致了双层阴影。然后，我们讨论了耦合参数$λ$，光的极化和高斯耦合常数$α$在阴影上的效果。此外，我们探讨了高斯 - 骨耦合常数$α$对无质量标量场的准模式（QNM）的影响，并研究了eikonal极限中QNM的实际部分与黑洞的阴影半径之间的联系。我们发现，在Eikonal限制中，QNM的实际部分与未与Weyl张量的光子的情况下的阴影半径成反比。
In this paper, we study the shadow of a 4D Einstein-Gauss-Bonnet black hole as photons couple to the Weyl tensor and find that the propagation of light depends on its polarization which leads to the existence of a double shadow. Then, we discuss the effect of the coupling parameter $λ$, the polarization of light and the Gauss-Bonnet coupling constant $α$ on shadow. Further we explore the influence of the Gauss-Bonnet coupling constant $α$ on the quasinormal modes (QNMs) of massless scalar field and investigate the connection between the real part of QNMs in the eikonal limit and the shadow radius of black holes. We find that in the eikonal limit the real part of QNMs is inversely proportional to the shadow radius under the case of the photons uncoupled to the Weyl tensor.
