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SUMMARY:From operator identities to symmetry operators
DTSTART;VALUE=DATE-TIME:20170703T120000Z
DTEND;VALUE=DATE-TIME:20170703T130000Z
DTSTAMP;VALUE=DATE-TIME:20210414T010941Z
UID:indico-event-2399@indico.math.cnrs.fr
DESCRIPTION:Séminaire de Relativité Générale Mathématique\n\n \n\n\n
The hidden symmetry of the Kerr spacetime\, encoded in its pair of conform
al Killing-Yano tensors\, implies hidden symmetries for various test field
s on such a background. Starting from certain natural operator identities
we derive two such symmetries of the linearized Einstein operator. The fir
st one is of differential order four and the relation to the classical the
ory of Debye potentials as well as to the Chandrasekhar transformation wil
l be explained. The second one is of differential order six and related to
the separability of an integrability condition to the linearized Einstein
equations — the Teukolsky equation. Advanced symbolic computer algebra
tools for xAct were developed for this purpose and if time permits\, I wil
l give an overview on the current status.\n\n\nhttps://indico.math.cnrs.fr
/event/2399/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/2399/
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