Lagrangian reverse engineering for regular black holes
arXiv:2311.17151 · doi:10.1016/j.physletb.2024.138750
Abstract
Nonlinear extensions of classical Maxwell's electromagnetism are among the prominent candidates for theories admitting regular black hole solutions. A quest for such examples has been fruitful, but mostly unsystematic and littered by the introduction of physically unrealistic Lagrangians. We provide a procedure which admits the reconstruction of a nonlinear electromagnetic Lagrangian, consistent with the Euler--Heisenberg Lagrangian in the weak-field limit, from a given metric representing a regular, magnetically charged black hole.
8 pages; ver.2: one sentence added, version accepted for publication in Physics Letters B
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