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    Gödel universe as a superconductor

    Daniel Flores-Alfonso*, Cesar S. Lopez-Monsalvo†, and Alberto Rubio-Ponce‡

    • *Contact author: dafa@azc.uam.mx
    • †Contact author: cslm@azc.uam.mx
    • ‡Contact author: arp@azc.uam.mx

    Phys. Rev. D 113, 124014 – Published 5 June, 2026

    DOI: https://doi.org/10.1103/gw8y-zrt4

    Abstract

    Material science and engineering have benefited from the use of geometric and topological tools. A material medium can mimic effective gravitational fields while spacetime metrics serve as geometric models of physical media. Although analog models of optical, acoustic, and viscous media in curved spacetimes are well established, none have yet captured the hallmark constitutive properties of superconductors. In this work we show that the Gödel universe—an exact solution to Einstein’s field equations—serves as the gravitational analog of a superconducting medium in its Meissner state.

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