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SUMMARY:Analytic example of the Aretakis type behaviour of the metric
DTSTART;VALUE=DATE-TIME:20190221T145400Z
DTEND;VALUE=DATE-TIME:20190221T150600Z
DTSTAMP;VALUE=DATE-TIME:20241010T101548Z
UID:indico-contribution-119@mosphys.ru
DESCRIPTION:Speakers: Prokopy Anempodistov (ITEP\, NRNU MEPhI)\nSupersymme
tric black holes play an important role in string theory. It is natural to
ask whether they are classically stable or not\, i.e. does a small initia
l perturbation remain small with time evolution?\nIn supergravity from the
fact that supersymmetric solution staurates BPS-bound does not imply clas
sical stability. For example\, anti-de-Sitter spacetime is a supersymmetri
c solution of various supergravity theories but it is classically unstable
against the formation of small black holes.\nIn AdS classical stability w
as analysed under time evolution determined by the nonlinear Einstein equa
tion. But Aretakis showed that even linear perturbations of a supersymmetr
ic black hole can exhibit instability. He proved that derivatives of a mas
sless scalar field grow polinomially on the horizon of extreme Reissner-No
rdstrom black hole. It's interesting to investigate stability of tensor fi
elds.\nTo have an analytical solution\, radial infall of non-charged massi
ve body to a ERN black hole was considered.\nEinstein equations were linea
rized and solved in the near-horizon limit. \nAs the result\, it was shown
that all components of metric perturbation are damped exponentially\, but
l=0\,1 spherical harmonics of rr-component oscillate and do not decay wit
h time.\n\nhttps://rich2018.org/indico/event/2/contributions/119/
LOCATION:HSE Study Center “Voronovo”
URL:https://rich2018.org/indico/event/2/contributions/119/
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