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SUMMARY:Igor Khavkine (Czech Academy of Sciences)
DTSTART:20201216T162000Z
DTEND:20201216T180000Z
DTSTAMP:20260423T024833Z
UID:GDEq/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/23/">Ki
 lling compatibility complex on Kerr spacetime</a>\nby Igor Khavkine (Czech
  Academy of Sciences) as part of Geometry of differential equations semina
 r\n\n\nAbstract\nThe Killing operator $K_{ab}[v] = \\nabla_a v_b + \\nabla
 _b v_a$ on a Lorentzian spacetime $(M\,g)$ plays an important role in Gene
 ral Relativity (GR): it generates infinitesimal gauge symmetries of the th
 eory. Gauge symmetry invariants play the role of physical observables.  In
  PDE language\, this translates to the following: the components of a comp
 atibility operator for $K_{ab}$ generate all local observables for lineari
 zed GR on the background $(M\,g)$. In <a href="https://arxiv.org/abs/1910.
 08756">arXiv:1910.08756</a> we have explicitly constructed such a compatib
 ility operator (indeed\, a full compatibility complex) on the astrophysica
 lly interesting Kerr spacetime of a rotating black hole. I will motivate a
 nd explain our approach and describe the complexity of the construction.\n
LOCATION:https://researchseminars.org/talk/GDEq/23/
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