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Schwarzschild spacetime immersed in test nonlinear electromagnetic fields
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Kerr black hole immersed in test, asymptotically homogeneous magnetic field, aligned along the symmetry axis, is described by Wald's solution. We show how the static case of this solution may be generalized for nonlinear electromagnetic models via perturbative approach. Using this technique we find the lowest order correction to Wald's solution on Schwarzschild spacetime in Euler--Heisenberg and Born--Infeld theories. Finally, we discuss the problem of highly conducting star in asymptotically homogeneous magnetic field.
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Schwarzschild Black Holes Immersed in Born-Infeld Magnetic Fields and Their Observational Signatures
Numerically solving full Born-Infeld magnetic fields around a Schwarzschild black hole makes meridional photon orbits prolate and elongates the black hole shadow along the polar axis at high inclination.
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