Quasinormal modes of three-dimensional rotating Hořava AdS black hole and the approach to thermal equilibrium

Ramón Bécar (Departamento de Ciencias Matemáticas y Físicas, Universidad Católica de Temuco, Montt 56, Casilla 15-D, Temuco, Chile) ; P. González (Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile) ; Eleftherios Papantonopoulos (Department of Physics, National Technical University of Athens, Zografou Campus GR 157 73, Athens, 157 73, Greece) ; Yerko Vásquez (Departamento de Física y Astronomía, Facultad de Ciencias, Universidad de La Serena, Avenida Cisternas 1200, La Serena, Chile)

We compute the quasinormal modes (QNMs) of a massive scalar field in the background of a rotating three-dimensional Hořava AdS black hole, and we analyze the effect of the breaking of Lorentz invariance on the QNMs. Imposing on the horizon the requirements that there are only ingoing waves and at infinity the Dirichlet boundary conditions and the Neumann boundary condition hold, we calculate the oscillatory and the decay modes of the QNMs. We find that the propagation of the scalar field is stable in this background and employing the holographic principle we find the different times of the perturbed system to reach thermal equilibrium for the various branches of solutions.

{
  "_oai": {
    "updated": "2020-09-25T12:37:06Z", 
    "id": "oai:repo.scoap3.org:55013", 
    "sets": [
      "EPJC"
    ]
  }, 
  "authors": [
    {
      "affiliations": [
        {
          "country": "Chile", 
          "value": "Departamento de Ciencias Matem\u00e1ticas y F\u00edsicas, Universidad Cat\u00f3lica de Temuco, Montt 56, Casilla 15-D, Temuco, Chile", 
          "organization": "Universidad Cat\u00f3lica de Temuco"
        }
      ], 
      "surname": "B\u00e9car", 
      "email": "rbecar@uct.cl", 
      "full_name": "B\u00e9car, Ram\u00f3n", 
      "given_names": "Ram\u00f3n"
    }, 
    {
      "affiliations": [
        {
          "country": "Chile", 
          "value": "Facultad de Ingenier\u00eda y Ciencias, Universidad Diego Portales, Avenida Ej\u00e9rcito Libertador 441, Casilla 298-V, Santiago, Chile", 
          "organization": "Universidad Diego Portales"
        }
      ], 
      "surname": "Gonz\u00e1lez", 
      "email": "pablo.gonzalez@udp.cl", 
      "full_name": "Gonz\u00e1lez, P.", 
      "given_names": "P."
    }, 
    {
      "affiliations": [
        {
          "country": "Greece", 
          "value": "Department of Physics, National Technical University of Athens, Zografou Campus GR 157 73, Athens, 157 73, Greece", 
          "organization": "National Technical University of Athens"
        }
      ], 
      "surname": "Papantonopoulos", 
      "email": "lpapa@central.ntua.gr", 
      "full_name": "Papantonopoulos, Eleftherios", 
      "given_names": "Eleftherios"
    }, 
    {
      "affiliations": [
        {
          "country": "Chile", 
          "value": "Departamento de F\u00edsica y Astronom\u00eda, Facultad de Ciencias, Universidad de La Serena, Avenida Cisternas 1200, La Serena, Chile", 
          "organization": "Universidad de La Serena"
        }
      ], 
      "surname": "V\u00e1squez", 
      "email": "yvasquez@userena.cl", 
      "full_name": "V\u00e1squez, Yerko", 
      "given_names": "Yerko"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "Quasinormal modes of three-dimensional rotating Ho\u0159ava AdS black hole and the approach to thermal equilibrium"
    }
  ], 
  "dois": [
    {
      "value": "10.1140/epjc/s10052-020-8169-2"
    }
  ], 
  "publication_info": [
    {
      "page_end": "15", 
      "journal_title": "European Physical Journal C", 
      "material": "article", 
      "journal_volume": "80", 
      "artid": "s10052-020-8169-2", 
      "year": 2020, 
      "page_start": "1", 
      "journal_issue": "7"
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2020-09-25T14:31:12.268566", 
    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "d436cfdcff2a11eabd0e02163e01809a"
  }, 
  "page_nr": [
    15
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2020"
    }
  ], 
  "control_number": "55013", 
  "record_creation_date": "2020-07-08T21:26:39.007764", 
  "_files": [
    {
      "checksum": "md5:f7c388019c4390c0a3c8a923755b4a23", 
      "filetype": "xml", 
      "bucket": "71a59573-d765-4fe4-95d5-b7916f34a7fd", 
      "version_id": "297cc325-22fd-403d-bfee-a2efceb948bc", 
      "key": "10.1140/epjc/s10052-020-8169-2.xml", 
      "size": 12591
    }, 
    {
      "checksum": "md5:44309566d12b33b466804822d4b1500f", 
      "filetype": "pdf/a", 
      "bucket": "71a59573-d765-4fe4-95d5-b7916f34a7fd", 
      "version_id": "ba226c4f-736e-4f78-8b3a-549e32dbc295", 
      "key": "10.1140/epjc/s10052-020-8169-2_a.pdf", 
      "size": 1149822
    }
  ], 
  "collections": [
    {
      "primary": "European Physical Journal C"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "gr-qc", 
        "hep-th"
      ], 
      "value": "1906.06654"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We compute the quasinormal modes (QNMs) of a massive scalar field in the background of a rotating three-dimensional Ho\u0159ava AdS black hole, and we analyze the effect of the breaking of Lorentz invariance on the QNMs. Imposing on the horizon the requirements that there are only ingoing waves and at infinity the Dirichlet boundary conditions and the Neumann boundary condition hold, we calculate the oscillatory and the decay modes of the QNMs. We find that the propagation of the scalar field is stable in this background and employing the holographic principle we find the different times of the perturbed system to reach thermal equilibrium for the various branches of solutions."
    }
  ], 
  "imprints": [
    {
      "date": "2020-07-02", 
      "publisher": "Springer"
    }
  ]
}
Published on:
02 July 2020
Publisher:
Springer
Published in:
European Physical Journal C , Volume 80 (2020)
Issue 7
Pages 1-15
DOI:
https://doi.org/10.1140/epjc/s10052-020-8169-2
arXiv:
1906.06654
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: