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    Thermodynamics of thin-shell wormholes

    Francisco S. N. Lobo1,2,* and Manuel E. Rodrigues3,4,†

    • 1Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, P-1749-016 Lisbon, Portugal
    • 2Departamento de Física, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, P-1749-016 Lisbon, Portugal
    • 3Faculdade de Física, Programa de Pós-Graduação em Física, Universidade Federal do Pará, 66075-110, Belém, Pará, Brazil
    • 4Faculdade de Ciências Exatas e Tecnologia, Universidade Federal do Pará, Campus Universitário de Abaetetuba, 68440-000, Abaetetuba, Pará, Brazil

    • *Contact author: fslobo@ciencias.ulisboa.pt
    • †Contact author: esialg@gmail.com

    Phys. Rev. D 114, 104030 – Published 6 November, 2026

    DOI: https://doi.org/10.1103/3vqg-z92c

    Abstract

    We develop a thermodynamic framework for dynamical thin-shell wormholes consistent with the exact junction conservation law. In a general static spherical bulk, energy transfer to the dynamic shell is determined by the redshift gradients and vanishes in the transparent, one-function geometry. Reversible transparent evolution conserves the shell entropy, whereas nontransparent evolution obeys a geometric energy balance whose division into heat and work depends on the thermodynamic state space. We distinguish the shell temperature from its acceleration scale, formulate intrinsic stability conditions, and establish the compatibility requirements for scalar-field and radiative flux models. The results identify the thermodynamic conclusions supported by junction dynamics and the additional assumptions needed for heat exchange and entropy production.

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