A general Grad-Shafranov equation is obtained via differential forms, together with a scalar-field Lagrangian that yields the equation on-shell.
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Hairy black hole shadows and disks grow with horizon scalar value but can mimic Schwarzschild by adjusting horizon radius, with the potential parameter Lambda constrained by supermassive black hole observations.
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General Grad-Shafranov Equation
A general Grad-Shafranov equation is obtained via differential forms, together with a scalar-field Lagrangian that yields the equation on-shell.
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Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential
Hairy black hole shadows and disks grow with horizon scalar value but can mimic Schwarzschild by adjusting horizon radius, with the potential parameter Lambda constrained by supermassive black hole observations.