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Pulsar Timing Response and Spatial Correlations of Shear Modes in Torsionless Palatini Spacetime — arXiv:2609.10251

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.10251
License (as archived): CC0-1.0
Archived: 2026-10-16T11:48:28.104Z
SHA-256 of the archived text: ec2ac092b21b1b45e342b058bb3157512c270a17721917ba81027e1a90069aa6
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How to cite

Pulsar Timing Response and Spatial Correlations of Shear Modes in Torsionless Palatini Spacetime — arXiv:2609.10251 — arXiv (en), https://arxiv.org/abs/2609.10251 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_cdc4702bbf19 (Metraipolis archive dc_cdc4702bbf19, sha256 ec2ac092b21b1b45e342b058bb3157512c270a17721917ba81027e1a90069aa6)

BibTeX

@misc{dccdc4702bbf19,
  title = {Pulsar Timing Response and Spatial Correlations of Shear Modes in Torsionless Palatini Spacetime — arXiv:2609.10251},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.10251},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_cdc4702bbf19; sha256 ec2ac092b21b1b45e342b058bb3157512c270a17721917ba81027e1a90069aa6},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.10251. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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 $\Gamma_{ab}^{\mathrm{sh}}(\zeta)=\cos\zeta$, where $\zeta$ 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.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-10 in astro-ph.CO).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc) ; Cosmology and Nongalactic Astrophysics (astro-ph.CO); High Energy Physics - Phenomenology (hep-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.10251 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T11:21:19.808Z dalla pagina https://arxiv.org/catchup/astro-ph.CO/2026-09-10?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).