{
  "id": "2309.15138",
  "version": "v1",
  "published": "2023-09-26T15:21:09.000Z",
  "updated": "2023-09-26T15:21:09.000Z",
  "title": "Quasilocal Corrections to Bondi's Mass-Loss Formula and Dynamical Horizons",
  "authors": [
    "Albert Huber"
  ],
  "comment": "26 pages, 1 Figure, to be published in PRD",
  "categories": [
    "gr-qc",
    "hep-th"
  ],
  "abstract": "In this work, a null geometric approach to the Brown-York quasilocal formalism is used to derive an integral law that describes the rate of change of mass and/or radiative energy escaping through a dynamical horizon of a non-stationary spacetime. The result thus obtained shows - in accordance with previous results from the theory of dynamical horizons of Ashtekar et al. - that the rate at which energy is transferred from the bulk to the boundary of spacetime through the dynamical horizon becomes zero at equilibrium, where said horizon becomes non-expanding and null. Moreover, it reveals previously unrecognized quasilocal corrections to the Bondi mass-loss formula arising from the combined variation of bulk and boundary components of the Brown-York Hamiltonian, given in terms of a bulk-to-boundary inflow term akin to an expression derived in an earlier paper by the author [#huber2022remark]. For clarity, this is discussed with reference to the Generalized Vaidya family of spacetimes, for which derived integral expressions take a particularly simple form.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-26T15:21:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamical horizon",
      "bondis mass-loss formula",
      "quasilocal corrections",
      "bulk-to-boundary inflow term akin",
      "brown-york quasilocal formalism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}