Horizon Structure and Geodesic Properties of Simpson-Visser Black Holes in Einstein-Euler-Heisenberg Theory

Abstract

We investigate a regularized charged black hole (BH) spacetime constructed by applying the Simpson-Visser (SV) prescription to a BH in Einstein-Euler-Heisenberg (EEH) theory. The resulting Simpson-Visser Einstein-Euler-Heisenberg (SV-EEH) geometry incorporates nonlinear electromagnetic corrections through the parameter $(a)$ and the SV regularization through the length scale $(b)$. By varying these parameters, spacetime provides a smooth interpolation between a regular BH, a one-way wormhole, and a traversable wormhole configuration. Introducing the effective areal radius $(R=\sqrt{r^{2}+b^{2}})$, we analyze the horizon structure and derive the conditions for degenerate and extremal configurations. Furthermore, we examine the null and timelike geodesic structures, computing the photon sphere radius, the BH shadow size, and the innermost stable circular orbit (ISCO). Our results demonstrate how nonlinear electrodynamics and SV regularization jointly modify the causal and geodesic structure of charged BHs while preserving the appropriate Reissner-Nordström and SV limits.