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SUMMARY:The Kerr--Schild structure behind the Painlevé-Gullstrand represe
 ntation
DTSTART:20261022T120000Z
DTEND:20261022T130000Z
DTSTAMP:20261014T210500Z
UID:indico-event-17510@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mokhtar Hassaine (Universidad de Talca\, Chili)\n\nW
 e first review the Painlevé-Gullstrand representation of the Schwarzschil
 d solution and its generalization to the Kerr geometry. We then extend thi
 s construction to the broader class of Carter metrics admitting separable 
 Hamilton-Jacobi equations. Within this framework\, we show how a Painlevé
 -Gullstrand-type representation can be constructed for separable Carter me
 trics and identify the conditions under which the resulting metric admits 
 a Kerr-Schild representation. In particular\, we prove that certain subcla
 sses of Carter metrics generically possess a Kerr-Schild structure. This e
 stablishes a direct connection between Hamilton-Jacobi separability\, Pain
 levé-Gullstrand coordinates\, and the Kerr-Schild form\, and provides a s
 ystematic way of identifying Kerr-Schild geometries within the class of se
 parable Carter metrics. \n\nhttps://indico.math.cnrs.fr/event/17510/
LOCATION:Salle 1180\, bâtiment E2 (Salle des séminaires )
URL:https://indico.math.cnrs.fr/event/17510/
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