High frequency quasi-normal modes for black-holes with generic singularities: II. Asymptotically non-flat spacetimes

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dc.contributor.authorGhosh, Archisman
dc.contributor.authorShankaranarayanan, S.
dc.contributor.authorDas, Saurya
dc.date.accessioned2016-01-05T23:36:07Z
dc.date.available2016-01-05T23:36:07Z
dc.date.issued2016-01-05
dc.descriptionSherpa Romeo green journal. “This is an author-created, un-copyedited version of an article accepted for publication/published in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it.”en_US
dc.description.abstractThe possibility that the asymptotic quasi-normal mode (QNM) frequencies can be used to obtain the Bekenstein-Hawking entropy for the Schwarzschild black hole — commonly referred to as Hod’s conjecture — has received considerable attention. To test this conjecture, using monodromy technique, attempts have been made to analytically compute the asymptotic frequencies for a large class of black hole spacetimes. In an earlier work, two of the current authors computed the high frequency QNMs for scalar perturbations of (D+2)-dimensional spherically symmetric, asymptotically flat, single horizon spacetimes with generic power-law singularities. In this work, we extend these results to asymptotically non-flat spacetimes. Unlike the earlier analyses, we treat asymptotically flat and de Sitter spacetimes in a unified manner, while the asymptotic anti-de Sitter spacetimes is considered separately. We obtain master equations for the asymptotic QNM frequency for all the three cases. We show that for all the three cases, the real part of the asymptotic QNM frequency – in general – is not proportional to ln(3) thus indicating that the Hod’s conjecture may be restrictive.en_US
dc.description.peer-reviewNoen_US
dc.identifier.citationGhosh, A., Shankaranarayanan, S., & Das. S. (2006). High frequency quasi-normal modes for black holes with generic singularities: II. Asymptotically non-flat spacetimes. Classical and Quantum Gravity, 23(6), 1851. https://doi.org/10.1088/0264-9381/23/6/003
dc.identifier.urihttps://hdl.handle.net/10133/3855
dc.language.isoen_CAen_US
dc.publisher.departmentDepartment of Physicsen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionIndian Institute of Technology Kanpuren_US
dc.publisher.institutionThe Abdus Salam International Centre for Theoretical Physicsen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.publisher.urlhttps://doi.org/10.1088/0264-9381/23/6/003
dc.subjectBlack holesen_US
dc.subjectQuasi-normal modesen_US
dc.subjectQNMen_US
dc.subjectMonodromyen_US
dc.subjectAsymptoticen_US
dc.titleHigh frequency quasi-normal modes for black-holes with generic singularities: II. Asymptotically non-flat spacetimesen_US
dc.typeArticleen_US
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