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The Correspondence Between Shadow and the Test Field in a Einstein-Euler-Heisenberg Black Hole

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Abstract

Photon sphere, shadow radius and quasinormal modes of the scalar perturbation and electromagnetic perturbations, and the correspondence with shadow are investigated in the background spacetime of a Euler-Heisenberg black hole. We obtain the connection between the real parts of the QNMs and the shadow radius by the properties of the photon spheres. The QNMS are derived by the sixth-order WKB approximation method and shadow radius, respectively. And the two methods are consistent when the value of the multipole number is large. In the eikonal limit, the correspondence of the quasinormal modes under the scalar perturbation and electromagnetic perturbations to the shadow radius is also verified.

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  1. Physics and Space Science College, China West Normal University, 637009, Nanchong, Sichuan, China

    Yuanyuan Feng & Weifu Nie

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  1. Yuanyuan Feng
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Feng, Y., Nie, W. The Correspondence Between Shadow and the Test Field in a Einstein-Euler-Heisenberg Black Hole. Int J Theor Phys 61, 223 (2022). https://doi.org/10.1007/s10773-022-05205-8

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