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    Reconstructing a large-scale matter-density contrast profile to reconcile Pantheon+supernovae with DESI DR2 BAO observations in an inhomogeneous universe

    Toshifumi Futamase*,†

    Reiki Kojima‡ and Masanori Tomonaga§

    • Graduate School of Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Aichi 466-8602, Japan

    • *Contact author: tof@astr.tohoku.ac.jp
    • †Also at Academia Sinica Institute of Astronomy and Astrophysics (ASIAA), No. 1, Section 4, Roosevelt Road, Taipei 10617, Taiwan.
    • ‡Contact author: kojima_r@u.phys.nagoya-u.ac.jp
    • §Contact author: tomonaga.masanori.b3@s.mail.nagoya-u.ac.jp

    Phys. Rev. D 113, 103515 – Published 7 May, 2026

    DOI: https://doi.org/10.1103/ldjj-rxc6

    Abstract

    The Hubble parameters measured by the Dark Energy Spectroscopic Instrument (DESI) DR2 baryon acoustic oscillation (BAO) observations show a significant discrepancy from the prediction of the standard cosmological model. This discrepancy, together with the long-discussed Hubble tension, may originate from large-scale inhomogeneities in the matter distribution. This interpretation is motivated by infrared galaxy surveys, which suggest that our galaxy resides within the ∼300  Mpc underdense region known as the Keenan-Barger-Cowie void. In this study, we apply a linear-order relation—relating the horizon-scale Hubble parameter inferred from cosmic microwave background observations and the local-scale Hubble parameter—to the Pantheon+Type Ia supernovae and the DESI DR2 BAO data. We show that a simple inhomogeneous cosmological model consisting of eight top-hat shells can consistently explain the Hubble parameters inferred from both observations. Based on the matter-density distribution, we also briefly discuss its possible impact on cosmological observables, including the magnitude-redshift relation, the kinematic Sunyaev-Zel’dovich effect, and the integrated Sachs-Wolfe effect.

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