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The Mathematical Theory of Black Holes
TitreThe Mathematical Theory of Black Holes
Nombre de pages105 Pages
Taille du fichier1,496 KiloByte
QualitéSonic 44.1 kHz
Nom de fichierthe-mathematical-the_VOYVV.epub
the-mathematical-the_8GaLU.mp3
Libéré4 years 4 months 15 days ago
Une longueur de temps58 min 51 seconds

The Mathematical Theory of Black Holes

Catégorie: Famille et bien-être, Cuisine et Vins, Bandes dessinées
Auteur: Jana Deleon, Martin Raff
Éditeur: Patrick Mauriès
Publié: 2017-01-14
Écrivain: Liz Pichon, Roberto Aguirre-Sacasa
Langue: Chinois, Roumain, Breton, Tagalog
Format: Livre audio, epub
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Topologia, Geometria e Buracos Negros - This is an introductory text on (Algebraic) Topology and Geometry, focusing on the general theory of spherically symmetric black holes. Written in Brazilian Portuguese. The text start with some category theory, and then we introduce the homotopy category of topological spaces. We talk briefly about basic aspects of homotopy theories, including higher homotopy groups, generalized cohomology, etc. Next we introduce general fiber bundles, sketch the classication theorem for principal bundles and show the correspondence between principal bundles and vector bundles. We study the problem of building global sections by means of obstruction theory methods. In the sequence we define connections in principal G-bundles as integrable distribution, show the relation with Lie(G)-valued forms an analyze the interplay between curvature and holonomy (Ambrose-Singer theorem). The correspondence between horizontal equivariant Lie(G)-valued forms on principal bundles P-->M and Ad(P)-valued forms on M is established and the Bianc
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