{
  "id": "1710.01316",
  "version": "v1",
  "published": "2017-10-03T18:00:18.000Z",
  "updated": "2017-10-03T18:00:18.000Z",
  "title": "Metric Perturbations of Extremal Surfaces",
  "authors": [
    "Benjamin Mosk"
  ],
  "comment": "16p+8p",
  "categories": [
    "hep-th",
    "gr-qc",
    "math.DG"
  ],
  "abstract": "Motivated by the HRRT-formula for holographic entanglement entropy, we consider the following question: what are the position and the surface area of extremal surfaces in a perturbed geometry, given their anchor on the asymptotic boundary? We derive explicit expressions for the change in position and surface area, thereby providing a closed form expression for the canonical energy. We find that a perturbation governed by some small parameter $\\lambda$ yields an expansion of the surface area in terms of a highly non-local expression involving multiple integrals of geometric quantities over the original extremal surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-03T18:00:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metric perturbations",
      "surface area",
      "original extremal surface",
      "holographic entanglement entropy",
      "closed form expression"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}