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This work focuses on the examination of a regular black hole withinVerlinde's emergent gravity, specifically investigating the Hayward-like(modified) solution. The study reveals the existence of three horizons undercertain conditions, i.e., an event horizon and two Couchy horizons. Our resultsindicate regions which phase transitions occur based on the analysis of heatcapacity and Hawking temperature. To compute the latter quantity, we utilizethree distinct methods: the surface gravity approach, Hawking radiation, andthe application of the first law of thermodynamics. In the case of the latterapproach, it is imperative to introduce a correction to ensure the preservationof the Bekenstein-Hawking area law. Geodesic trajectories and critical orbits(photon spheres) are calculated, highlighting the presence of three lightrings. Additionally, we investigate the black hole shadows. Furthermore, thequasinormal modes are explored using third- and sixth-order WKB approximations.In particular, we observe stable and unstable oscillations for certainfrequencies. Finally, in order to comprehend the phenomena of time-dependentscattering in this scenario, we provide an investigation of the time-domainsolution.

Analysis of a regular black hole in Verlinde's gravity