Shadows and amplitude luminosity of an embedded rotating black hole

Abstract We investigate a rotating black hole embedded in a five-dimensional flat bulk by extending the Kerr metric through the Gürses-Gürsey line element. Employing Boyer-Lindquist coordinates, we reinterpret the black hole as a charged-like object in five dimensions and analyze its horizon structure and shadow morphology. Our results reveal that the shadow is shaped by an axially symmetric gravitational field modulated by an extrinsic curvature term arising from the higher-dimensional embedding. Simulations demonstrate that the visibility amplitude and shadow profile of the Gürses-Gürsey black hole align with Event Horizon Telescope observations of $$\hbox {M87}^{*}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mtext>M87</mml:mtext> <mml:mrow/> <mml:mrow> <mml:mrow/> <mml:mo>∗</mml:mo> </mml:mrow> </mml:mmultiscripts> </mml:math> in the Kerr limit, while also allowing measurable deviations that could be probed by future high-resolution experiments.