{"id":17320,"date":"2002-10-06T00:00:00","date_gmt":"2002-10-06T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/conectividad-geodesica-en-algunos-espaciotiempos-un-metodo-topologico\/"},"modified":"2002-10-06T00:00:00","modified_gmt":"2002-10-06T00:00:00","slug":"conectividad-geodesica-en-algunos-espaciotiempos-un-metodo-topologico","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/conectividad-geodesica-en-algunos-espaciotiempos-un-metodo-topologico\/","title":{"rendered":"Conectividad geod\u00e9sica en algunos espaciotiempos: un m\u00e9todo topol\u00f3gico"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jos\u00e9 Luis Flores Dorado <\/strong><\/h2>\n<p>En esta tesis se introduce una nueva t\u00e9cnica, que hemos denominado m\u00e9todo topol\u00f3gico, para el estudio del problema de la conectividad geod\u00e9sica en variedades de lorentz.  esta t\u00e9cnica est\u00e1 basada en argumentos topol\u00f3gicos; concretamente, en la aplicaci\u00f3n del grado topol\u00f3gico de brouwer.  como consecuencia de su aplicaci\u00f3n, se obtiene la conectividad geod\u00e9sica bajo hip\u00f3tesis generales de la amplia clase de los espaciotiempos multialabeados, que contienen diversos espaciotiempos de interes relatividad general.  en la clase de los espaciotiempos robertson-walter generalizados (rwg) es posible un estudio a\u00fan m\u00e1s espec\u00edfico de las geod\u00e9sicas, lo que permite no s\u00f3lo caracterizar su existencia sino que adem\u00e1s proporciona resultados sobre su multiplicidad, car\u00e1cter causal, puntos conjugados y relaciones de tipo morse.  por otra parte, hemos estudiado la conexi\u00f3n de levi-civita y las ecuaciones de las geod\u00e9sicas de los espaciotiempos, obteniendo expresiones que generalizan las de los productos alabeados. Estos resultados los hemos aplicado en el estudio de ciertas regiones relevantes (tanto estacionarias como no estacionarias) del espaciotiempo de kerr.  por \u00faltimo, nuestro m\u00e9todo topol\u00f3gico tami\u00e9n permite probar la conectividad geod\u00e9sica de la regi\u00f3n exterior del espaciotiempo de kerr, regi\u00f3n que, aunque particular, presenta m\u00faltiples dificultades, insalvables hasta ahora por las t\u00e9cnicas anteriores.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Conectividad geod\u00e9sica en algunos espaciotiempos: un m\u00e9todo topol\u00f3gico<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Conectividad geod\u00e9sica en algunos espaciotiempos: un m\u00e9todo topol\u00f3gico <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jos\u00e9 Luis Flores Dorado <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 10\/06\/2002<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Miguel S\u00e1nchez Caja<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel Barros d\u00edaz <\/li>\n<li>eduardo Garc\u00eda r\u00edo (vocal)<\/li>\n<li>steven Harris (vocal)<\/li>\n<li>\u00e1ngel Ferr\u00e1ndez izquierdo (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jos\u00e9 Luis Flores Dorado En esta tesis se introduce una nueva t\u00e9cnica, que hemos denominado m\u00e9todo topol\u00f3gico, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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