Parameter Estimation of Magnetised Kerr Black Holes Using Their Shadows

We investigate the shadow features of magnetized Kerr black holes (MKBHs) using a deviation parameter \( B \) that captures the effect of an external magnetic field on spacetime geometry. These spacetimes, of Petrov type \( D \), are asymptotically non-flat. We use the separability of the Hamilton--Jacobi equation to generate null geodesics and examine the crucial impact parameters for unstable photon orbits that define the black hole shadow. We carefully study how the magnetic field intensity \( B \) and spin parameter \( a \) influence shadow morphology, discovering that increasing \( B \) enlarges the shadow while also introducing additional distortions, especially at high spins. We compute the shadow observables -- area \( A \) and oblateness \( D \) -- and create contour plots in the parameter space \[(a/M, \, BM)\] to facilitate parameter estimation. We also investigate the dependence of the shadow on observer position, specifically altering the radial coordinate \( r_{\mathrm{O}} \) and inclination angle \( θ\). The results reveal that as \( B \) increases, so does the shadow size, and the distortion is affected by both spin and observer orientation. For far observers, the shadow approaches its asymptotic shape, but finite-distance observers perceive substantial deviations. Our findings demonstrate that MKBH shadows encode clear imprints of magnetic deviations, thereby offering a potential avenue to distinguish Kerr from non-Kerr spacetimes and to probe magnetic effects in the strong-gravity regime.