Analytic nondegenerate shift-symmetric Horndeski theories admit no static spherical regular black holes with a time-independent scalar; the unique marginal nonanalytic completion is sGB, whose hairy solutions remain centrally singular.
Instability of nonsingular black holes in non- linear electrodynamics
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
We show that nonsingular black holes realized in nonlinear electrodynamics are always prone to Laplacian instability around the center because of a negative squared sound speed in the angular direction. This is the case for both electric and magnetic BHs, where the instability of one of the vector-field perturbations leads to enhancing a dynamical gravitational perturbation in the even-parity sector. Thus, the background regular metric is no longer maintained in a steady state. Our results suggest that the construction of stable, nonsingular black holes with regular centers, if they exist, requires theories beyond nonlinear electrodynamics.
citation-role summary
background 2
citation-polarity summary
years
2026 3roles
background 2representative citing papers
Monopole bags in axionic backgrounds gravitationally collapse into horizonless states or dyonic regular black holes that evade singularities while retaining axionic hair.
GR coupled to a constrained scalar triplet and auxiliary three-form admits an exact continuous family of asymptotically flat geometrically regular black holes with de Sitter cores and topological hair.
citing papers explorer
-
Static regular black holes in Horndeski theories: analytic no-go and nonanalytic obstructions
Analytic nondegenerate shift-symmetric Horndeski theories admit no static spherical regular black holes with a time-independent scalar; the unique marginal nonanalytic completion is sGB, whose hairy solutions remain centrally singular.
-
Gravitational Properties of the Monopole Bag
Monopole bags in axionic backgrounds gravitationally collapse into horizonless states or dyonic regular black holes that evade singularities while retaining axionic hair.
-
Geometrically Regular Black Holes with Hedgehog Scalar Hair
GR coupled to a constrained scalar triplet and auxiliary three-form admits an exact continuous family of asymptotically flat geometrically regular black holes with de Sitter cores and topological hair.