Testing the nature of Gauss–Bonnet gravity by four-dimensional rotating black hole shadow
By Shao-Wen Wei, Yu-Xiao Liu. The European Physical Journal Plus, 2020
203 citations recorded by the source corpus.
The recent discovery of the novel four-dimensional static and spherically symmetric Gauss–Bonnet black hole provides a promising bed to test Gauss–Bonnet gravity by using astronomical observations (Glavan et al. in PRL 124:081301, 2020). In this paper, we first obtain the rotating Gauss–Bonnet black hole solution by using the Newman–Janis algorithm and then study the shadow cast by the nonrotating and rotating candidate Gauss–Bonnet black holes. The result indicates that positive metric parameter α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document} shrinks the shadow, while negative one enlarges it. Meanwhile, both the distortion and ratio of two diameters of the shadow are found to increase with the metric parameter for certain spin. Comparing with the Kerr black hole, the shadow gets more distorted for α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document} and less distorted for negative one. Furthermore, we calculate the angular diameter of the shadow by making use of the observation of M87*. The result indicates that negative metric parameter α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document} in (−4.5, 0) is more favored. Since the negative energy appears for negative α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}, our results extends the study of Gauss–Bonnet gravity. We believe further study on the four-dimensional rotating black hole may shed new light on Gauss–Bonnet gravity.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/82f0a2a22ed8024498e3a2cd44c3252581e9b03a
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Citations in the corpus
- Rotating black holes in 4D Einstein-Gauss-Bonnet gravity and its shadow (2020, unknown): “After this work was completed, we learned a similar work by Wei and Liu [41], which appeared in arXiv a couple of days before.”
- Shadows and photon spheres with spherical accretions in the four-dimensional Gauss–Bonnet black hole (2020, background): “We first obtain the radius of the photon sphere and critical impact parameter for different Gauss-Bonnet constants, and find that the larger the Gauss-Bonnet constant is, the smaller the radius of the photon sphere and critical impact parameter will be, which is consistent with the previous results ”
- Influence of quintessence dark energy on the shadow of black hole (2020, background): “So far, the study of shadows of black holes has become a subject of great interest [12–39].”
- A note on the novel 4D Einstein–Gauss–Bonnet gravity (2020, background): “[19–51]), the dimensionalregularization prescription has not been justified with the matched rigor.”