{
  "id": "1403.2697",
  "version": "v2",
  "published": "2014-03-11T19:14:00.000Z",
  "updated": "2014-05-24T09:58:49.000Z",
  "title": "Gravitational-wave flux for a particle orbiting a Kerr black hole to 20th post-Newtonian order: a numerical approach",
  "authors": [
    "Abhay G Shah"
  ],
  "categories": [
    "gr-qc"
  ],
  "abstract": "In this article we present the post-Newtonian (pN) coefficients of the energy flux (and angular momentum flux) at infinity and event horizon for a particle in circular, equatorial orbits about a Kerr black hole (of mass $M$ and spin-parameter $a$) up to 20-pN order. When a pN term is not a polynomial in $a/M$ and includes irrational functions (like polygamma functions), it is written as a power series of $a/M$. This is achieved by calculating the fluxes numerically with an accuracy greater than 1 part in $10^{600}$. Such high accuracy allows us to extract analytical values of pN coefficients that are linear combinations of transcendentals like the Euler constant, logarithms of prime numbers and powers of $\\pi$. We also present the 22-pN expansion (spin-independent pN expansion) of the ingoing energy flux at the event horizon for a particle in circular orbit about a Schwarzschild black hole.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-24T09:58:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.25.Nx",
      "04.30.Db",
      "04.70.Bw"
    ],
    "keywords": [
      "kerr black hole",
      "20th post-newtonian order",
      "gravitational-wave flux",
      "numerical approach",
      "particle orbiting"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevD.90.044025",
      "journal": "Physical Review D",
      "year": 2014,
      "month": "Aug",
      "volume": 90,
      "number": 4,
      "pages": "044025"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1285355,
      "adsabs": "2014PhRvD..90d4025S"
    }
  }
}