https://doi.org/10.1140/epjp/s13360-025-06689-z
Regular Article
Standard constraints on the shadow radius of black holes in d-dimensional space-time: the case of regular Einstein–Gauss–Bonnet solutions
Center for Astronomy and Astrophysics & Center for Field Theory and Particle Physics & Department of Physics, Fudan University, No.2005 Songhu Road, Yangpu District, 200438, Shanghai, China
a z.n.yan.bhtpr@gmail.com, znyan21@m.fudan.edu.cn
Received:
2
June
2025
Accepted:
24
July
2025
Published online:
8
August
2025
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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
