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arXiv · 2511.01020

Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields

Ana Bokulić·Filip Požar
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Abstract

We introduce the first-order noncommutative (NC) corrections to the general nonlinear electrodynamics (NLE) Lagrangian depending on two electromagnetic invariants. The NC deformation of Einstein-NLE theory is implemented using the $\partial_t\wedge\partial_\varphi$ Drinfel'd twist and the NC effects are encoded in the matter sector through the Seiberg-Witten map. The resulting equations of motion reflect two distinct sources of nonlinearity in this framework; one arising from replacing Maxwell's electrodynamics with its nonlinear modifications and another from the NC deformations. Assuming a general form of static, spherically symmetric dyonic black hole as a seed solution in the commutative limit, we solve the equations of motion perturbatively to the first order in the NC parameter $a$. Finally, we evaluate the obtained corrections to the metric tensor and gauge potential for several prominent NLE theories.

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Ana Bokulić, Filip Požar. 2025-11-02. Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields. https://doi.org/10.1103/t8k4-1thf

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