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DTSTART;TZID=America/New_York:20230309T093000
DTEND;TZID=America/New_York:20230309T103000
DTSTAMP:20260505T175437
CREATED:20230817T185018Z
LAST-MODIFIED:20240228T091310Z
UID:10001256-1678354200-1678357800@cmsa.fas.harvard.edu
SUMMARY:Pseudospectrum and black hole quasinormal mode instability: An ultraviolet universality conjecture
DESCRIPTION:General Relativity Seminar \nSpeaker: Jose Luis Jaramillo (Bourgogne U.) \nTitle: Pseudospectrum and black hole quasinormal mode instability: an ultraviolet universality conjecture \nAbstract: Can we measure the ‘effective regularity’ of spacetime from the perturbation of quasi-normal mode (QNM) overtones? Black hole (BH) QNMs encode the resonant response of black holes under linear perturbations\, their associated complex frequencies providing an invariant probe into the background spacetime geometry. In the late nineties\, Nollert and Price found evidence of a BH QNM instability phenomenon\, according to which perturbed QNMs of Schwarzschild spacetime migrate to new perturbed branches of different qualitative behaviour and asymptotics. Here we revisit this BH QNM instability issue by adopting a pseudospectrum approach. Specifically\, we cast the QNM problem as an eigenvalue problem for a non-selfadjoint operator by adopting a hyperboloidal formulation of spacetime. Non-selfadjoint (more generally non-normal) operators suffer potentially of spectral instabilities\, the notion of pseudospectrum providing a tool suitable for their study. We find evidence that perturbed Nollert & Price BH QNMs track the pseudospectrum contour lines\, therefore probing the analytic structure of the resolvent\, showing the following (in)stability behaviour: i) the slowest decaying (fundamental) mode is stable\, whereas ii) (all) QNM overtones are ultraviolet unstable (for sufficiently high frequency). Building on recent work characterizing Burnett’s conjecture as a low-regularity problem in general relativity\, we conjecture that (in the infinite-frequency limit) generic ultraviolet spacetime perturbations make BH QNMs migrate to ‘Regge QNM branches’ with a precise universal logarithmic pattern. This is a classical general relativity (effective) low-regularity phenomenon\, agnostic to possible detailed (quantum) descriptions of gravity at higher-energies and potentially observationally accessible.
URL:https://cmsa.fas.harvard.edu/event/gr_3923/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-03.09.23.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230323T133000
DTEND;TZID=America/New_York:20230323T143000
DTSTAMP:20260505T175437
CREATED:20230818T041454Z
LAST-MODIFIED:20240118T100327Z
UID:10001257-1679578200-1679581800@cmsa.fas.harvard.edu
SUMMARY:New Phases of N=4 SYM
DESCRIPTION:General Relativity Seminar \nSpeaker: Prahar Mitra (University of Cambridge) \nTitle: New Phases of N=4 SYM \nAbstract: We construct new static solutions to gauged supergravity that\, via the AdS/CFT correspondence\, are dual to thermal phases in N=4 SYM at finite chemical potential. These solutions dominate the micro-canonical ensemble and are required to ultimately reproduce the microscopic entropy of AdS black holes. These are constructed in two distinct truncations of gauged supergravity and can be uplifted to solutions of type IIB supergravity. Together with the known phases of the truncation with three equal charges\, our findings permit a good understanding of the full phase space of SYM thermal states with three arbitrary chemical potentials. We will also discuss the status of hairy supersymmetric black hole solutions in this theory. \nBased on: https://arxiv.org/pdf/2207.07134.pdf [hep-th]
URL:https://cmsa.fas.harvard.edu/event/gr_32323/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-03.23.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230330T093000
DTEND;TZID=America/New_York:20230330T223000
DTSTAMP:20260505T175437
CREATED:20230818T042141Z
LAST-MODIFIED:20240118T101402Z
UID:10001258-1680168600-1680215400@cmsa.fas.harvard.edu
SUMMARY:Gravitational perturbations near to extreme Kerr
DESCRIPTION:General Relativity Seminar \nSpeaker: Alejandra Castro (University of Cambridge) \nTitle: Gravitational perturbations near to extreme Kerr \nAbstract: Gravitational perturbations of a black hole illustrate the invaluable synergy between theory\, experiment\, and numerical simulations in general relativity. A recent development in the theory side has been the identification of the relevant degrees of freedom describing the low energy physics driving a black hole away from extremality.  For simple cases\, this low energy sector determines important aspects of the gravitational backreaction\, and several properties that are key to our microscopic (quantum) understanding of black hole physics.\n\nIn this talk I will discuss these developments in the context of the (near-)extreme Kerr black hole. In particular\, I will revisit the spectrum of linear axisymmetric gravitational perturbations of this black hole. The aim is to characterise those perturbations that are responsible for the deviations away from extremality\, and to contrast them with the linearized perturbations treated in the Newman-Penrose formalism. I will show that for Kerr the low-lying mode sector is subtle and intricate—features that their charged spherical symmetric cousins do not display. This unveils new clues on how to decode a microscopic\, and holographic\, understanding of the Kerr black hole.
URL:https://cmsa.fas.harvard.edu/event/gr_33023/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-03.30.23.png
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