Abstract In this work, we tested the thermal behavior of a class of regular black hole (BH) solutions defined as generalized black-bounce space-times. We introduce several novel configurations governed by different mass functions and geometric deformations, illustrated by parameters controlling regularity and horizon structure. Using the Hamilton–Jacobi tunneling method, we compute the Hawking temperature associated with each model and analyze its dependence on the underlying parameters. We find that all proposed geometries are free of curvature singularities and exhibit positive, well-defined quasi-local masses in the Hernandez–Misner–Sharp (HMS) formalism. Also, we demonstrate that these models may possess multiple horizons, including extremal and asymmetric cases, while typically violating classical energy conditions in the vicinity of the bounce. Our results show and illustrate the structure and thermodynamic stability of these regular solutions.
Moreira et al. (2025) studied this question.