Magnetar structure in non-linear electrodynamics with mixed poloidal-toroidal fields

Arthur G. Suvorov; José A. Pons

doi:10.1093/mnras/staf704

paper

Magnetar structure in non-linear electrodynamics with mixed poloidal-toroidal fields

arXiv:2503.01409 · doi:10.1093/mnras/staf704

Abstract

Magnetars have inferred polar field strengths in excess of the Schwinger limit, where non-linear electromagnetic effects can be significant. Their internal fields may be even stronger, suggesting that Maxwellian characterizations of hydromagnetic structure may require revision. A generalized Grad-Shafranov equation, describing static and axisymmetric fluid stars with mixed poloidal-toroidal fields, is introduced and subsequently solved in a perturbative scheme to calculate quadrupolar deformations. In the Born-Infeld theory, we show that the toroidal field has a maximum strength set by the scale parameter, $b$ , implying an upper limit to the stellar prolateness, $∣ ε_{max} ∣ \sim 1 0^{- 5} (b /1 0^{16} G)^{2}$ , that is independent of field specifics. Observations of magnetar phenomena that are interpreted as evidence for ellipticity, such as precession, can thus implicitly constrain post-Maxwellian parameters in a way that complements terrestrial experiments. Toroidal ceilings also have implications for dynamo theory and gravitational waves, which we revisit together with field evolution in crusts abiding by beyond-Maxwell physics.

arXiv comment16 pages, 7 figures, 1 table. Matches published version

Magnetar structure in non-linear electrodynamics with mixed poloidal-toroidal fields

Abstract

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