Shadows and intensities of Simpson–Visser black holes in Verlinde’s emergent gravity

Abstract Verlinde’s emergent gravity (VEG) posits that gravity arises as an emergent phenomenon rooted in the entropic properties of spacetime, challenging the traditional view of gravity as a fundamental force. Building on this paradigm, recent developments have introduced a novel class of black holes within the VEG framework, revealing intriguing connections between apparent dark matter effects and the distribution of baryonic matter. In this study, we delve into the observational signatures of a Simpson–Visser (SV) Minkowski core regular black hole in VEG, focusing on its shadow images and intensity profiles. Our analysis highlights the profound influence of model parameters, including A (governing baryonic matter distribution), B (strength of interaction between apparent dark matter and baryonic matter), and n (characterizing diverse spacetime geometries), on the effective potential and observable properties. Notably, we find that the modifications introduced by these parameters lead to distinct changes in the black hole’s shadow size and intensity distribution. Comparing our results to the Reissner–Nordström (RN) black hole, we uncover a striking reduction in the apparent shadow size and an enhancement in intensity for the SV solution in VEG.

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