The correspondence between shadow and test field in a four-dimensional charged Einstein–Gauss–Bonnet black hole

• Published in: The European physical journal. C, Particles and fields Vol. 81; no. 8; pp. 1 - 10
• Main Authors: Chen, Deyou, Gao, Chuanhong, Liu, Xianming, Yu, Chengye
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2021; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Approximation; Astronomy; Astrophysics and Cosmology; Black holes; Coupling; Elementary Particles; Gravitational waves; Gravity; Hadrons; Heavy Ions; Laboratories; Measurement Science and Instrumentation; Multipoles; Nuclear Energy; Nuclear Physics; Perturbation; Photons; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quarks; Regular Article - Theoretical Physics; Scalars; Shadows; Spacetime; String Theory
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-021-09510-0

In this paper, we investigate the photon sphere, shadow radius and quasinormal modes of a four-dimensional charged Einstein–Gauss–Bonnet black hole. The perturbation of a massless scalar field in the black hole’s background is adopted. The quasinormal modes are gotten by the 6th order WKB approximation approach and shadow radius, respectively. When the value of the Gauss–Bonnet coupling constant increase, the values of the real parts of the quasinormal modes increase and those of the imaginary parts decrease. The coincidence degrees of quasinormal modes derived by the two approaches increases with the increase of the values of the Gauss–Bonnet coupling constant and multipole number. It shows the correspondence between the shadow and test field in the four-dimensional Einstein–Gauss–Bonnet–Maxwell gravity. The radii of the photon sphere and shadow increase with the decrease of the Gauss–Bonnet coupling constant.