Black hole shadow: Experimental test of different models and shadow of dynamical Hayward black hole
DOI:
https://doi.org/10.33910/2687-153X-2024-5-3-154-166Keywords:
black hole, photon sphere, mass-dependent, shadow, dynamical Hayward black holeAbstract
Recent observations of black hole shadows have revolutionized our ability to probe gravity in extreme environments. This manuscript presents a novel analytic model of the shadow of a dynamical Hayward black hole. We show that under some choice of mass and regularization functions, this spacetime admits a homothetic Killing vector, which allows the reduction of the second-order differential equations of motion to the firstorder ones. After that, we introduce the coordinate transformation to conformally-static coordinates and introduce a new conserved quantity along null geodesics. We prove that in the dynamical case the regularization parameter always decreases the radius of a photon sphere. Inspired by the experimental data obtained by the Event Horizon Telescope Collaboration, we compare the obtained images of Sagittarius A* with a black hole shadow in Reissner–Nordstrom, Bardeen and Hayward black holes, respectively.
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