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SUMMARY:The complex conformal Kähler structure of type-D spacetimes
DTSTART;VALUE=DATE-TIME:20261107T093000Z
DTEND;VALUE=DATE-TIME:20261107T100000Z
DTSTAMP;VALUE=DATE-TIME:20261023T111609Z
UID:indico-contribution-2950@indico.itp.ac.cn
DESCRIPTION:Speakers: Haoran Xu (HIAS)\nThis is a work about the complex c
 onformal Kähler structure and the related duality symmetry of Plebański-
 Demiański class\, a kind of type-D spacetime. We reviewed the complex met
 ric and complex Kähler structure of complex spacetimes\, which has the co
 mplex valued metric and almost complex structure as well as the related po
 tential function. We find a SO(2\, C) duality transformation of Kerr-Taub-
 NUT class which maps Kerr metric into Taub-NUT metric continuously. What's
  more\, using the results above\, we get a Monge-Ampère equation which is
  equivalent to the vacuum Einstein equations and the solution of it contai
 ns the whole Plebański-Demiański Class\, and theoretically the type-D sp
 acetimes. Then we use toric reduction to obtain some moment polytopes and 
 then use this one can classify different type-D solutions based on the com
 plex conformal Kähler structure. We also find a complex Monge-Ampère equ
 ation and one can obtain the whold type-D by solving it. This is a joint w
 ork with Prof. Lars Andersson.\n\nhttps://indico.itp.ac.cn/event/417/contr
 ibutions/2950/
LOCATION:
URL:https://indico.itp.ac.cn/event/417/contributions/2950/
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