{
  "abstract": "In the nanohertz band, spatial correlations between pulsar timing residuals provide a key observable for characterizing stochastic gravitational-wave backgrounds and probing their polarization content. In torsionless Palatini spacetime, nonmetricity can generate two additional shear modes, referred to as the shear-$x$ and shear-$y$ modes. In this work, we investigate the pulsar timing response produced by the shear-induced motions of the emitting pulsar and the receiving Earth. Assuming that the electromagnetic field is minimally coupled to the physical metric and that the Earth and pulsar possess non-negligible effective hypermomentum responses, we derive the single-pulsar redshift, the frequency-domain two-point correlation function, and the corresponding spatial correlation. For a stationary and isotropic stochastic shear background, the normalized overlap reduction function (ORF) for distinct pulsars reduces in the short-wavelength limit to the pure dipolar form $Γ_{ab}^{\\mathrm{sh}}(ζ)=\\cosζ$, where $ζ$ is the angular separation between the two pulsars. The same dipolar correlation can also be produced by isotropic Solar System ephemeris errors, leading to a spatial degeneracy between the two signals. This degeneracy highlights the importance of information beyond the angular correlation for identifying Palatini shear signatures in PTA data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10251",
  "author_total": 3,
  "authors": [
    {
      "name": "Tian-Shi Li"
    },
    {
      "name": "Yu-Mei Wu"
    },
    {
      "name": "Chang Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bq8k20fge2f8f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10251",
  "fulltext_url": null,
  "id": "bq8k20fge2f8f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10251",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.CO"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7212151410",
  "pdf_url": "https://arxiv.org/pdf/2609.10251",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bq8k20fge2f8f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.10251",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10251"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Pulsar Timing Response and Spatial Correlations of Shear Modes in Torsionless Palatini Spacetime",
  "title_text": "Pulsar Timing Response and Spatial Correlations of Shear Modes in Torsionless Palatini Spacetime",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/bq8k20fge2f8f",
  "venue": "arXiv",
  "versions": []
}