Instability in near-horizon geometries of even-dimensional Myers-Perry black holes

Norihiro Tanahashi, Keiju Murata

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We study the gravitational, electromagnetic and scalar field perturbations on the near-horizon geometries of the even-dimensional extremal Myers-Perry black holes. By dimensional reduction, the perturbation equations are reduced to effective equations of motion in AdS 2. We find that some modes in the gravitational perturbations violate the Breitenlöhner-Freedman bound in AdS 2. This result suggests that the even-dimensional (near-)extremal Myers-Perry black holes are unstable against gravitational perturbations. We also discuss implications of our results to the Kerr-CFT correspondence.

Original languageEnglish
Article number235002
JournalClassical and Quantum Gravity
Volume29
Issue number23
DOIs
Publication statusPublished - 2012 Dec 7
Externally publishedYes

Fingerprint

horizon
perturbation
geometry
gravitational fields
electromagnetic fields
equations of motion
scalars

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Instability in near-horizon geometries of even-dimensional Myers-Perry black holes. / Tanahashi, Norihiro; Murata, Keiju.

In: Classical and Quantum Gravity, Vol. 29, No. 23, 235002, 07.12.2012.

Research output: Contribution to journalArticle

@article{758d5dadc93f4d418c43b4c86e591486,
title = "Instability in near-horizon geometries of even-dimensional Myers-Perry black holes",
abstract = "We study the gravitational, electromagnetic and scalar field perturbations on the near-horizon geometries of the even-dimensional extremal Myers-Perry black holes. By dimensional reduction, the perturbation equations are reduced to effective equations of motion in AdS 2. We find that some modes in the gravitational perturbations violate the Breitenl{\"o}hner-Freedman bound in AdS 2. This result suggests that the even-dimensional (near-)extremal Myers-Perry black holes are unstable against gravitational perturbations. We also discuss implications of our results to the Kerr-CFT correspondence.",
author = "Norihiro Tanahashi and Keiju Murata",
year = "2012",
month = "12",
day = "7",
doi = "10.1088/0264-9381/29/23/235002",
language = "English",
volume = "29",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing Ltd.",
number = "23",

}

TY - JOUR

T1 - Instability in near-horizon geometries of even-dimensional Myers-Perry black holes

AU - Tanahashi, Norihiro

AU - Murata, Keiju

PY - 2012/12/7

Y1 - 2012/12/7

N2 - We study the gravitational, electromagnetic and scalar field perturbations on the near-horizon geometries of the even-dimensional extremal Myers-Perry black holes. By dimensional reduction, the perturbation equations are reduced to effective equations of motion in AdS 2. We find that some modes in the gravitational perturbations violate the Breitenlöhner-Freedman bound in AdS 2. This result suggests that the even-dimensional (near-)extremal Myers-Perry black holes are unstable against gravitational perturbations. We also discuss implications of our results to the Kerr-CFT correspondence.

AB - We study the gravitational, electromagnetic and scalar field perturbations on the near-horizon geometries of the even-dimensional extremal Myers-Perry black holes. By dimensional reduction, the perturbation equations are reduced to effective equations of motion in AdS 2. We find that some modes in the gravitational perturbations violate the Breitenlöhner-Freedman bound in AdS 2. This result suggests that the even-dimensional (near-)extremal Myers-Perry black holes are unstable against gravitational perturbations. We also discuss implications of our results to the Kerr-CFT correspondence.

UR - http://www.scopus.com/inward/record.url?scp=84868514563&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84868514563&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/29/23/235002

DO - 10.1088/0264-9381/29/23/235002

M3 - Article

AN - SCOPUS:84868514563

VL - 29

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 23

M1 - 235002

ER -