The Bardeen model as a nonlinear magnetic monopole

By Eloy Ay'on-Beato, Alberto A. Garc'ia. 2000

681 citations recorded by the source corpus.

Abstract The Bardeen model — the first regular black hole model in General Relativity — is reinterpreted as the gravitational field of a nonlinear magnetic monopole, i.e., as a magnetic solution to Einstein equations coupled to a nonlinear electrodynamics.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/bc6d3d3cab63d5cb55d7dcd19807655b186cf34e

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In Astronomy and Astrophysics

1. N. Tsukamoto
2. Zilong Li
3. Hao Yang
4. Yang Guo
5. Chen Lan
6. Y. Miao
7. Cosimo Bambi
8. Zhong Fan

In Nuclear and High Energy Physics

1. Zilong Li
2. Hao Yang
3. Yang Guo
4. Chen Lan
5. Y. Miao
6. N. Tsukamoto
7. Zhong Fan
8. Dmitri Sorokin

Citations in the corpus

• Regular Black Holes: A Short Topic Review (2023, methodology): “For instance, the Lagrangian of Bardeen BHs contains two parameters, mass M and magnetic charge q [21], thus the first mechanical law reads [155]”
• Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources (2008, result): “this result is reminiscent of the Bardeen solution [6], of which it shares most of the properties.”
• Construction of Regular Black Holes in General Relativity (2016, background): “It was established by Ayón-Beato and Garćıa [15, 16, 17, 18, 19] that the regular black hole models can be interpreted as the gravitational field of a nonlinear electric or magnetic monopole.”
• Constraining the spin and the deformation parameters from the black hole shadow (2014, methodology): “[51], the Bardeen metric can be obtained as an exact solution of Einstein’s equations coupled to a non-linear electromagnetic field.”
• Measuring the Kerr spin parameter of regular black holes from their shadow (2013, methodology): “If we consider the Bardeen and Hayward BHs with a specific value of the deformation parameter g/M , for a given inclination angle i there is a one-to-one correspondence between the spin a∗ and the distortion parameter δs.”
• Introductory Notes on Non‐linear Electrodynamics and its Applications (2021, methodology): “Ayón-Beato and Gracia [7] found that a very specific NED Lagrangian density which produces the source for the Bardeen black hole in the Einstein equations has the following form”