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RETRACTED: Nonlinear electrodynamics and regular black holes. (English) Zbl 1380.83165

Gen. Relativ. Gravitation 49, No. 3, Paper No. 45, 21 p. (2017); retracted; correction ibid. 52, No. 2, Paper No. 18, 21 p. (2020).
Summary: In this work, an exact regular black hole solution in General Relativity is presented. The source is a nonlinear electromagnetic field with the algebraic structure \( T^{0}_{0}=T^{1}_{1} \) for the energy-momentum tensor, partially satisfying the weak energy condition but not the strong energy condition. In the weak field limit, the EM field behaves like the Maxwell field. The solution corresponds to a charged black hole with \(q\leq 0.77\) m. The metric, the curvature invariants, and the electric field are regular everywhere. The BH is stable against small perturbations of spacetime and using the Weinhold metric, geometrothermodynamical stability has been investigated. Finally we investigate the idea that the observable universe lives inside a regular black hole. We argue that this picture might provide a viable description of universe.
Editorial remark: Because of the great number of mistakes in it, the entire corrected article is republished [ibid. 52, No. 2, Paper No. 18, 21 p. (2020; Zbl 1434.83075)] as correction article.

MSC:

83C57 Black holes
83C15 Exact solutions to problems in general relativity and gravitational theory
53Z05 Applications of differential geometry to physics
83C22 Einstein-Maxwell equations
83C75 Space-time singularities, cosmic censorship, etc.

Citations:

Zbl 1434.83075
Full Text: DOI

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