Conceptual question on the eddington limit

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Magnetars exceed the Eddington Limit due to their unique magnetic fields, which can create a balance between radiation pressure and gravitational forces. This strong magnetic field allows them to retain their outer layers despite the intense energy output. The discussion highlights the misconception that superstrong gamma-ray bursts originate from closer sources, which is clarified by understanding magnetars' actual distances. The question of whether this is a homework query suggests a deeper inquiry into astrophysical phenomena rather than a simple academic exercise. Understanding the interplay of magnetic fields and radiation pressure is crucial to grasping how magnetars remain stable.
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How are magnetars self-sustaining in light of the fact that they surpass the Eddington Limit?
L_Eddington=4πcGMm/σ_T

I read that that was a big reason the sources of the superstrong g-ray bursts were originally believed to be closer than magnetars actually are but I can't find why they aren't completely having their outer layers blown off...
 
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Is this really a homework question?
 

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