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    Louder gravitational wave bang from a fast-expanding universe

    Lucas Brown* and Stefano Profumo†

    Aditi Gangadharan‡

    Zeynep Su Koç§

    • Department of Physics, University of California, Santa Cruz (UCSC), Santa Cruz, California 95064, USA and Santa Cruz Institute for Particle Physics (SCIPP), Santa Cruz, California 95064, USA

    • *Contact author: lubrown@ucsc.edu
    • †Contact author: profumo@ucsc.edu
    • ‡Contact author: amg8708@psu.edu
    • §Contact author: su.koc@ug.bilkent.edu.tr

    Phys. Rev. D 112, 023509 – Published 7 July, 2025

    DOI: https://doi.org/10.1103/gy3n-hqwm

    Abstract

    A strong first-order phase transition in a dark sector may produce all or part of the low-frequency gravitational wave signal recently reported by the NANOGrav Collaboration and other pulsar timing arrays. Here we point out, with a simple toy model, that even if the amplitude of the gravitational wave background from the dark phase transition is insufficient to match the NANOGrav signal, a modified expansion rate at early times may considerably enhance the gravitational wave signal. In particular, a faster-than-standard expansion rate, triggered, for instance, by the presence of one or more additional sources of energy density redshifting with higher powers of temperatures than radiation, boosts upper limits on the gravitational wave signal from first-order cosmological phase transitions, enlarging the slate of possible dark sector scenarios matching the NANOGrav signal.

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