Physics Letters B (Jul 2024)

Lagrangian reverse engineering for regular black holes

  • Ana Bokulić,
  • Edgardo Franzin,
  • Tajron Jurić,
  • Ivica Smolić

Journal volume & issue
Vol. 854
p. 138750

Abstract

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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.

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