Four-parametric regular black hole solution
By Eloy Ayón-Beato, Alberto A. Garćıa. 2004
204 citations recorded by the source corpus.
We present a regular class of exact black hole solutions of the Einstein equations coupled with a nonlinear electrodynamics source. For weak fields the nonlinear electrodynamics becomes the Maxwell theory, and asymptotically the solutions behave as the Reissner–Nordström one. The class is endowed with four parameters, which can be thought of as the mass m, charge q, and a sort of dipole and quadrupole moments α and β, respectively. For α≥3, β≥4, and |q|≤2scm the corresponding solutions are regular charged black holes. For α = 3, they also satisfy the weak energy condition. For α = β = 0 we recover the Reissner–Nordström singular solution and for α = 3, β = 4 the family includes a previous regular black hole reported by the authors.
Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/035f4f0a13df2a095069c00120c0607e78eb7541
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Mathematical Physics
In Nuclear and High Energy Physics
Citations in the corpus
- Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources (2008, background): “Another multi-parametric solution was recently discussed in [7] and the spinning case has also bene studied [37].”
- Construction of Regular Black Holes in General Relativity (2016, background): “Of course, one can also consider to construct black hole solutions with more general mass functions (For example, the first exact regular black hole solutions presented by Ayón-Beato and Garćıa in [15].”
- Regular Black Holes: A Short Topic Review (2023, methodology): “As a matter of fact, if we interpret the metric, (1), as a spacetime produced by a field of Dirac magnetic monopoles [2, 178], the entropy can be derived by Hawking’s path-integral method for a given RBH depicted by (1).”