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SUMMARY:The Teukolsky equation on Kerr black hole spacetimes
DTSTART:20230626T143000Z
DTEND:20230626T160000Z
DTSTAMP:20260925T235810Z
UID:5dba2d79-b980-4984-8f8e-8a8d17033dff
SEQUENCE:1
CREATED:20230626T110844Z
DESCRIPTION: Abstract:he Teukolsky master equations describe the gauge inv
 ariant degrees of freedom in linear gravitational perturbations of the Ker
 r black hole family.In this talk\, we focus on separable solutions to the 
 Teukolsky equations\, for which superradiance and trapping phenomena can b
 e understood. Particular emphasis will be given to mode stability\, that i
 s non-existence of exponentially growing or bounded but non-decaying separ
 able solutions. A corollary of our analysis is that general solutions to t
 he Teukolsky equations are bounded and decay in time\; this is a key first
  step in establishing (linear) stability of Kerr black holes.This talk con
 tains joint work with Marc Casals (Leipzig/CBPF/UC Dublin) and Yakov Shlap
 entokh-Rothman (Toronto). 
LAST-MODIFIED:20230626T110844Z
LOCATION:Sala de Seminários do DF\,  Pavilhão de Física\, 2º piso
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/the-teukolsky-equation-on-
 kerr-black-hole-spacetimes/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="ag4tk"> <b>Abstract:</b><b
 r/>he Teukolsky master equations describe the gauge invariant degrees of f
 reedom in linear gravitational perturbations of the Kerr black hole family
 .<br/>In this talk\, we focus on separable solutions to the Teukolsky equa
 tions\, for which superradiance and trapping phenomena can be understood. 
 Particular emphasis will be given to mode stability\, that is non-existenc
 e of exponentially growing or bounded but non-decaying separable solutions
 .<br/><br/> A corollary of our analysis is that general solutions to the T
 eukolsky equations are bounded and decay in time\; this is a key first ste
 p in establishing (linear) stability of Kerr black holes.<br/>This talk co
 ntains joint work with Marc Casals (Leipzig/CBPF/UC Dublin) and Yakov Shla
 pentokh-Rothman (Toronto). </p>
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