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SUMMARY:Flavio Rossetti\, "SHORT Course: Topics in General Relativity II"
DTSTART;VALUE=DATE-TIME:20260617T134500Z
DTEND;VALUE=DATE-TIME:20260622T084500Z
DTSTAMP;VALUE=DATE-TIME:20260609T101400Z
UID:indico-event-959@indico.gssi.it
CONTACT:flavio.rossetti@gssi.it
DESCRIPTION:LecturerFlavio Rossetti (GSSI) flavio.rossetti@gssi.it Timet
 able and workloadLectures: 8 hoursCourse contentThe course will focus on t
 he analysis of the wave equation on black hole spacetimes\, motivated by t
 he hyperbolic nature of the Einstein equations. First\, basic notions of L
 orentzian geometry will be introduced\, so to provide a covariant definiti
 on of the wave operator on general spacetimes. After discussing the main p
 roperties of wave solutions on curved backgrounds\, black hole spacetimes 
 will be introduced. The last part of the course will revolve around the an
 alysis of linear waves on Schwarzschild black hole exteriors\, via physica
 l-space methods. The course will be intended for a broad audience. Some ex
 posure to the analysis of partial differential equations (as for instance 
 the material covered in the first-semester courses at GSSI) will be assume
 d.Lecture 1\, June 17\, 15:45 - 17:15: Lorentzian geometry and causalityL
 ecture 2\, June 18\, 10:45 - 12:15: The wave equation on curved backgroun
 dsLecture 3\, June 19\, 09:00 - 10:30: Black hole spacetimesLecture 4\, J
 une 22\, 09:00 - 10:30: The wave equation on Schwarzschild black holes (R
 edshift effect\, uniform boundedness of solutions\, …)Related short cour
 sesTopics in General Relativity ReferencesThe geometry and analysis of bl
 ack hole  spacetimes in general relativity\, M. Dafermos\, ETH Nachdiplom
  lectures\, 2013   \n\nhttps://indico.gssi.it/event/959/
LOCATION:Aurora Building-Main Lecture Hall (GSSI)
URL:https://indico.gssi.it/event/959/
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