Implications of a Simpson-Visser solution in Verlinde's framework

TL;DR

This paper examines a regular black hole solution within Verlinde's emergent gravity framework, analyzing its horizon structure, thermodynamics, light trajectories, gravitational lensing, neutrino interactions, and quasinormal modes to understand its physical implications.

Contribution

It introduces a modified Simpson-Visser solution in Verlinde's gravity, exploring its thermodynamic, optical, and dynamical properties with detailed calculations and potential astrophysical applications.

Findings

Presence of a unique event horizon under certain conditions

Identification of phase transitions through thermodynamic analysis

Calculation of quasinormal modes indicating stability

Abstract

This study focuses on investigating a regular black hole within the framework of Verlinde's emergent gravity. In particular, we explore the main aspects of the modified Simpson--Visser solution. Our analysis reveals the presence of a unique physical event horizon under certain conditions. Moreover, we study the thermodynamic properties, including the Hawking temperature, the entropy, and the heat capacity. Based on these quantities, our results indicate several phase transitions. Geodesic trajectories for photon-like particles, encompassing photon spheres and the formation of black hole shadows, are also calculated to comprehend the behavior of light in the vicinity of the black hole. Additionally, we also provide the calculation of the time delay and the deflection angle. Corroborating our results, we include an additional application in the context of high-energy astrophysical phenomena: neutrino energy deposition. Finally, we investigate the quasinormal modes using third-order WKB approximation.