Quasinormal modes of the extremal BTZ black hole

Juan Crisóstomo; Samuel Lepe; Joel Saavedra

doi:10.1088/0264-9381/21/12/002

Quasinormal modes of the extremal BTZ black hole

Juan Crisóstomo, Samuel Lepe, Joel Saavedra

INSTITUTE OF PHYSICS

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

Motivated by several pieces of evidence, in order to show that extremal black holes cannot be obtained as limits of non-extremal black holes, in this paper we calculate explicitly quasinormal modes for the Bañados, Teitelboim and Zanelli (BTZ) extremal black hole and show that the imaginary part of the frequency is zero. We obtain exact result for the scalar and fermionic perturbations. We also showed that the frequency is bounded from below for the existence of the normal modes (non-dissipative modes).

Original language	English
Pages (from-to)	2801-2809
Number of pages	9
Journal	Classical and Quantum Gravity
Volume	21
Issue number	12
DOIs	https://doi.org/10.1088/0264-9381/21/12/002
State	Published - 21 Jun 2004

Access to Document

10.1088/0264-9381/21/12/002

Cite this

@article{e55016c5031c49f48d8cda0ffcb609e8,

title = "Quasinormal modes of the extremal BTZ black hole",

abstract = "Motivated by several pieces of evidence, in order to show that extremal black holes cannot be obtained as limits of non-extremal black holes, in this paper we calculate explicitly quasinormal modes for the Ba{\~n}ados, Teitelboim and Zanelli (BTZ) extremal black hole and show that the imaginary part of the frequency is zero. We obtain exact result for the scalar and fermionic perturbations. We also showed that the frequency is bounded from below for the existence of the normal modes (non-dissipative modes).",

author = "Juan Cris{\'o}stomo and Samuel Lepe and Joel Saavedra",

year = "2004",

month = jun,

day = "21",

doi = "10.1088/0264-9381/21/12/002",

language = "English",

volume = "21",

pages = "2801--2809",

journal = "Classical and Quantum Gravity",

issn = "0264-9381",

publisher = "IOP Publishing Ltd.",

number = "12",

}

TY - JOUR

T1 - Quasinormal modes of the extremal BTZ black hole

AU - Crisóstomo, Juan

AU - Lepe, Samuel

AU - Saavedra, Joel

PY - 2004/6/21

Y1 - 2004/6/21

N2 - Motivated by several pieces of evidence, in order to show that extremal black holes cannot be obtained as limits of non-extremal black holes, in this paper we calculate explicitly quasinormal modes for the Bañados, Teitelboim and Zanelli (BTZ) extremal black hole and show that the imaginary part of the frequency is zero. We obtain exact result for the scalar and fermionic perturbations. We also showed that the frequency is bounded from below for the existence of the normal modes (non-dissipative modes).

AB - Motivated by several pieces of evidence, in order to show that extremal black holes cannot be obtained as limits of non-extremal black holes, in this paper we calculate explicitly quasinormal modes for the Bañados, Teitelboim and Zanelli (BTZ) extremal black hole and show that the imaginary part of the frequency is zero. We obtain exact result for the scalar and fermionic perturbations. We also showed that the frequency is bounded from below for the existence of the normal modes (non-dissipative modes).

UR - http://www.scopus.com/inward/record.url?scp=3042774553&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/21/12/002

DO - 10.1088/0264-9381/21/12/002

M3 - Article

AN - SCOPUS:3042774553

SN - 0264-9381

VL - 21

SP - 2801

EP - 2809

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 12

ER -

Quasinormal modes of the extremal BTZ black hole

Abstract

Access to Document

Other files and links

Fingerprint

Cite this