Extremal limit of the regular charged black holes in nonlinear electrodynamics
Jerzy Matyjasek
TL;DR
This paper investigates the near-horizon geometry of extremal regular charged black holes in nonlinear electrodynamics, revealing a diverse AdS2xS2 structure described by Lambert functions, and shows these solutions differ from Bertotti-Robinson type.
Contribution
It introduces a new analysis of extremal nonlinear charged black holes' near-horizon geometry, highlighting their unique AdS2xS2 structures and mathematical description via Lambert functions.
Findings
Near-horizon geometry belongs to AdS2xS2 class with variable curvatures.
Solutions are described using Lambert functions.
These black holes do not admit Bertotti-Robinson solutions.
Abstract
The near horizon limit of the extreme nonlinear black hole is investigated. It is shown that resulting geometry belongs to the AdS2xS2 class with different modules of curvatures of subspaces and could be described in terms of the Lambert functions. It is demonstrated that the considered class of Lagrangians does not admit solutions of the Bertotti-Robinson type.
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