Abstract

Motivated by recent work on rotating black hole shadow (Chang and Zhu in Phys Rev D 101:084029, 2020), we investigate the shadow behaviours of rotating Hayward–de Sitter black hole for static observers at a finite distance in terms of astronomical observables. This paper uses the newly introduced distortion parameter (Chang and Zhu in Phys Rev D 102:044012, 2020) to describe the shadow’s shape quantitatively. We show that the spin parameter would distort shadows and the magnetic monopole charge would increase the degree of deformation. The distortion will increase as the distance between the observer and the black hole increases, and distortion reduces as the cosmological constant increases. Besides, the increase of the spin parameter, magnetic monopole charge and cosmological constant will cause the shadows shrunken.

Highlights

  • The black hole shadow is an important phenomenological feature, which is how the black hole looks when a background source of light illuminates it [8]

  • The authors of Refs. [52,53] proposed a new method for calculating the size and shape of shadow in terms of astrometric observables for observers located at a finite distance, while, they introduced a new distortion parameter to describe the deviation of shadow from circularity

  • This paper aims to apply the method proposed in Refs. [52,53] to construct the rotating Hayward–de Sitter black hole shadow and analyze the effects of different parameters on the shadow

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Summary

Introduction

The black hole shadow is an important phenomenological feature, which is how the black hole looks when a background source of light illuminates it [8]. Bardeen first gave the shadow’s shape of the Kerr black hole for a distant observer [10,11] Since those pioneer works, shadows of objects have been extensively studied [12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48].

Shadows of rotating black holes
Application in rotating Hayward–de Sitter black holes
Null geodesic equations and photon regions
Sizes of shadow
Shadow’s shape
Conclusions and discussions
Compliance with ethical standards
Full Text
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