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Surface geometry and shadow of a Schwarzschild black hole with a halo*
Abstract We studied the surface geometry and shadows of a Schwarzschild black hole with a halo containing quadrupolar and octopolar terms. It was found that the quadrupole term causes a Schwarzschild black hole to be prolate at the quadrupole strength <?CDATA $ {\cal{Q}}\lt{0} $?> and oblate at <?CDATA $ {\cal{Q}}\gt{0} …