{
  "id": "1312.5616",
  "version": "v3",
  "published": "2013-12-19T16:19:38.000Z",
  "updated": "2014-02-10T18:50:25.000Z",
  "title": "Large-Scale Structure and Gravitational Waves III: Tidal Effects",
  "authors": [
    "Fabian Schmidt",
    "Enrico Pajer",
    "Matias Zaldarriaga"
  ],
  "comment": "24 pages, 4 figures; v2: added references and corrected typos; v3: corrected factor of 2 in Sec. VI and intrinsic alignment matching, conclusions unchanged",
  "journal": "Phys. Rev. D 89, 083507 (2014)",
  "doi": "10.1103/PhysRevD.89.083507",
  "categories": [
    "astro-ph.CO",
    "gr-qc"
  ],
  "abstract": "The leading locally observable effect of a long-wavelength metric perturbation corresponds to a tidal field. We derive the tidal field induced by scalar, vector, and tensor perturbations, and use second order perturbation theory to calculate the effect on the locally measured small-scale density fluctuations. For sub-horizon scalar perturbations, we recover the standard perturbation theory result ($F_2$ kernel). For tensor modes of wavenumber $k_L$, we find that effects persist for $k_L\\tau \\gg 1$, i.e. even long after the gravitational wave has entered the horizon and redshifted away, i.e. it is a \"fossil\" effect. We then use these results, combined with the \"ruler perturbations\" of arXiv:1204.3625, to predict the observed distortion of the small-scale matter correlation function induced by a long-wavelength tensor mode. We also estimate the observed signal in the B mode of the cosmic shear from a gravitational wave background, including both tidal (intrinsic alignment) and projection (lensing) effects. The non-vanishing tidal effect in the $k_L\\tau \\gg 1$ limit significantly increases the intrinsic alignment contribution to shear B modes, especially at low redshifts $z \\lesssim 2$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-02-10T18:50:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "98.65.Dx",
      "98.65.-r",
      "98.80.Jk"
    ],
    "keywords": [
      "gravitational wave",
      "tidal effect",
      "large-scale structure",
      "measured small-scale density fluctuations",
      "matter correlation function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2014,
      "month": "Apr",
      "volume": 89,
      "number": 8,
      "pages": "083507"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1272810,
      "adsabs": "2014PhRvD..89h3507S"
    }
  }
}