{"id":779,"date":"2023-11-26T08:33:28","date_gmt":"2023-11-26T16:33:28","guid":{"rendered":"\/wp\/hades\/?p=779"},"modified":"2023-11-26T08:33:28","modified_gmt":"2023-11-26T16:33:28","slug":"mode-stability-for-kerr-de-sitter-black-holes","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2023\/11\/26\/mode-stability-for-kerr-de-sitter-black-holes\/","title":{"rendered":"Mode stability for Kerr(-de Sitter) black holes"},"content":{"rendered":"\n\t\t\t\t\n<p>The HADES seminar on Tuesday, <strong>November 28th<\/strong>, will be at <strong>3:30pm<\/strong>&nbsp;in&nbsp;<strong>Room 740<\/strong>. <\/p>\n\n\n\n<p><strong>Speaker:<\/strong> <a href=\"https:\/\/www.dpmms.cam.ac.uk\/~rbdt2\/\">Rita Teixeira da Costa<\/a><\/p>\n\n\n\n<p><strong>Abstract: <\/strong>The Teukolsky master equations are a family of PDEs describing the linear behavior of perturbations of the Kerr black hole family, of which the wave equation is a particular case. As a first essential step towards stability, Whiting showed in 1989 that the Teukolsky equation on subextremal Kerr admits no exponentially growing modes. In this talk, we review Whiting\u2019s classical proof and a recent adaptation thereof to the extremal Kerr case. We also present a new approach to mode stability, based on uncovering hidden spectral symmetries in the Teukolsky equations. Part of this talk is based on joint work with Marc Casals (CBPF\/UCD).<\/p>\n\n\n\n<p>This talks complements yesterday\u2019s Analysis &amp; PDE seminar, but will be self-contained.<\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, November 28th, will be at 3:30pm&nbsp;in&nbsp;Room 740. Speaker: Rita Teixeira da Costa Abstract: The Teukolsky master equations are a family of PDEs describing the linear behavior of perturbations of the Kerr black hole family, of which the wave equation is a particular case. As a first essential step towards stability, [&hellip;]<\/p>\n","protected":false},"author":92,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-779","post","type-post","status-publish","format-standard","hentry","category-fall-2023"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/779","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/users\/92"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=779"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/779\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=779"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=779"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=779"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}