Standard constraints on the shadow radius of black holes in $d$-dimensional space-time: The case of regular Einstein-Gauss-Bonnet solutions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909606968557568 |
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| author | Yan, Zening |
| author_facet | Yan, Zening |
| contents | In this work, we propose a $d$-dimensional constraint formula for the black hole shadow radius, providing a standardized framework for using observational confidence intervals to constrain the corresponding characteristic parameters in $d$-dimensional black hole solutions. This approach can correct the misapplication of shadow radius constraints in some previous studies. Subsequently, we selected two regular Einstein-Gauss-Bonnet (EGB) black hole solutions as a representative example to test the $d$-dimensional shadow constraint formula. Our analysis reveals that the characteristic parameters within these $d$-dimensional black hole solutions maintain physically meaningful bounded domains under shadow radius constraints. We further propose that this $d$-dimensional shadow constraint formula is universal and can be applied to constrain the characteristic parameters in other high-dimensional spherically symmetric black hole solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20841 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Standard constraints on the shadow radius of black holes in $d$-dimensional space-time: The case of regular Einstein-Gauss-Bonnet solutions Yan, Zening General Relativity and Quantum Cosmology In this work, we propose a $d$-dimensional constraint formula for the black hole shadow radius, providing a standardized framework for using observational confidence intervals to constrain the corresponding characteristic parameters in $d$-dimensional black hole solutions. This approach can correct the misapplication of shadow radius constraints in some previous studies. Subsequently, we selected two regular Einstein-Gauss-Bonnet (EGB) black hole solutions as a representative example to test the $d$-dimensional shadow constraint formula. Our analysis reveals that the characteristic parameters within these $d$-dimensional black hole solutions maintain physically meaningful bounded domains under shadow radius constraints. We further propose that this $d$-dimensional shadow constraint formula is universal and can be applied to constrain the characteristic parameters in other high-dimensional spherically symmetric black hole solutions. |
| title | Standard constraints on the shadow radius of black holes in $d$-dimensional space-time: The case of regular Einstein-Gauss-Bonnet solutions |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.20841 |