September 28, 2025Open Access

Thermal behavior of generalized black-bounce black holes

Key Points

The proposed black holes exhibit positive quasi-local masses and no singularities, ensuring stability and safety in terms of physical laws.
Hawking temperature was computed for various models, with findings indicating distinct thermal behaviors based on their parameters.
Regular black holes were shown to have multiple horizons, including various asymmetrical configurations under specific conditions.
The models challenge traditional expectations by violating classical energy conditions around the bounce, highlighting their uniqueness.

Abstract

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.

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