Addentum to: Conformal invariance and near-extreme rotating AdS black holes

Tolga Birkandan; Mirjam Cvetič

doi:10.1103/PhysRevD.90.067504

Addentum to: Conformal invariance and near-extreme rotating AdS black holes

Tolga Birkandan
, Mirjam Cvetič

Fizik Mühendisliği Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

4 Atıf (Scopus)

Özet

We obtained retarded Green's functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black hole of five-dimensional minimal gauged supergravity in Phys. Rev. D 84, 044018 (2011). For general nonextreme black holes, we also derived the radial part of the massless Klein-Gordon equation with zero azimuthal-angle eigenvalues, and showed that it is a general Heun's equation with a regular singularity at each horizon UK (k=1,2,3) and at infinity. We derived explicitly that the residuum of a pole at each UK is associated with the surface gravity there. In this addendum, probing regular singularities at each UK we complete the derivation of the full radial equation with nonzero azimuthal-angle eigenvalues. The residua now include modifications by the angular velocities at respective horizons. This result completes the analysis of the wave equation for the massless Klein-Gordon equation for the general rotating charged black hole of five-dimensional minimal gauged supergravity.

Orijinal dil	İngilizce
Makale numarası	067504
Dergi	Physical Review D - Particles, Fields, Gravitation and Cosmology
Hacim	90
Basın numarası	6
DOI'lar	https://doi.org/10.1103/PhysRevD.90.067504
Yayın durumu	Yayınlandı - 11 Eyl 2014

Bibliyografik not

Publisher Copyright:
© 2014 American Physical Society.

Finansman

The research of T.B. is supported by TUBITAK, the Scientific and Technological Council of Turkey, Istanbul Technical University [BAP 37519] and High Energy Theory Fund of the Department of Physics and Astronomy at the University of Pennsylvania. M.C. would like to thank the Department of Physics at the Istanbul Technical University for hospitality during the course of this work. M.C.s visit to Istanbul Technical University was supported by TUBITAK 2221-Fellowship for Visiting Scientists with number 1059B211400897. M.C. is also supported by the DOE Grant No. DOE-EY-76-02-3071, the Fay R. and Eugene L. Langberg Endowed Chair, the Slovenian Research Agency (ARRS), and the Simons Foundation Fellowship. T. B. would like to thank the Department of Physics and Astronomy at the University of Pennsylvania for hospitality during the early course of this work. The research of T. B. is supported by TUBITAK, the Scientific and Technological Council of Turkey, Istanbul Technical University [İTÜ BAP 37519] and High Energy Theory Fund of the Department of Physics and Astronomy at the University of Pennsylvania. M. C. would like to thank the Department of Physics at the Istanbul Technical University for hospitality during the course of this work. M. C.’s visit to Istanbul Technical University was supported by TUBITAK “2221-Fellowship for Visiting Scientists” with number 1059B211400897. M. C. is also supported by the DOE Grant No. DOE-EY-76-02-3071, the Fay R. and Eugene L. Langberg Endowed Chair, the Slovenian Research Agency (ARRS), and the Simons Foundation Fellowship.

Finansörler	Finansör numarası
Department of Physics
Scientific and Technological Council of Turkey
TUBITAK
Simons Foundation
American Roentgen Ray Society
University of Pennsylvania	1059B211400897, DOE-EY-76-02-3071
Javna Agencija za Raziskovalno Dejavnost RS
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu
Istanbul Teknik Üniversitesi	İTÜ BAP 37519

Belgeye Erişim

10.1103/PhysRevD.90.067504

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Addentum to: Conformal invariance and near-extreme rotating AdS black holes",

abstract = "We obtained retarded Green's functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black hole of five-dimensional minimal gauged supergravity in Phys. Rev. D 84, 044018 (2011). For general nonextreme black holes, we also derived the radial part of the massless Klein-Gordon equation with zero azimuthal-angle eigenvalues, and showed that it is a general Heun's equation with a regular singularity at each horizon UK (k=1,2,3) and at infinity. We derived explicitly that the residuum of a pole at each UK is associated with the surface gravity there. In this addendum, probing regular singularities at each UK we complete the derivation of the full radial equation with nonzero azimuthal-angle eigenvalues. The residua now include modifications by the angular velocities at respective horizons. This result completes the analysis of the wave equation for the massless Klein-Gordon equation for the general rotating charged black hole of five-dimensional minimal gauged supergravity.",

author = "Tolga Birkandan and Mirjam Cveti{\v c}",

note = "Publisher Copyright: {\textcopyright} 2014 American Physical Society.",

year = "2014",

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doi = "10.1103/PhysRevD.90.067504",

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N2 - We obtained retarded Green's functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black hole of five-dimensional minimal gauged supergravity in Phys. Rev. D 84, 044018 (2011). For general nonextreme black holes, we also derived the radial part of the massless Klein-Gordon equation with zero azimuthal-angle eigenvalues, and showed that it is a general Heun's equation with a regular singularity at each horizon UK (k=1,2,3) and at infinity. We derived explicitly that the residuum of a pole at each UK is associated with the surface gravity there. In this addendum, probing regular singularities at each UK we complete the derivation of the full radial equation with nonzero azimuthal-angle eigenvalues. The residua now include modifications by the angular velocities at respective horizons. This result completes the analysis of the wave equation for the massless Klein-Gordon equation for the general rotating charged black hole of five-dimensional minimal gauged supergravity.

AB - We obtained retarded Green's functions for massless scalar fields in the background of near-extreme, near-horizon rotating charged black hole of five-dimensional minimal gauged supergravity in Phys. Rev. D 84, 044018 (2011). For general nonextreme black holes, we also derived the radial part of the massless Klein-Gordon equation with zero azimuthal-angle eigenvalues, and showed that it is a general Heun's equation with a regular singularity at each horizon UK (k=1,2,3) and at infinity. We derived explicitly that the residuum of a pole at each UK is associated with the surface gravity there. In this addendum, probing regular singularities at each UK we complete the derivation of the full radial equation with nonzero azimuthal-angle eigenvalues. The residua now include modifications by the angular velocities at respective horizons. This result completes the analysis of the wave equation for the massless Klein-Gordon equation for the general rotating charged black hole of five-dimensional minimal gauged supergravity.

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DO - 10.1103/PhysRevD.90.067504

M3 - Article

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ER -

Addentum to: Conformal invariance and near-extreme rotating AdS black holes

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