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Generalizing the Petrov Classification

 

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  • Product Description
 

The Petrov classification is an important algebraic classification for the Weyl tensor valid in 4-dimensional space-times. In this book such classification is generalized to manifolds of arbitrary dimension and signature. This is accomplished by interpreting the Weyl tensor as a linear operator on the bundle of p-forms and computing the Jordan canonical form of this operator. Throughout this work the spaces are assumed to be complexified, so that different signatures correspond to different reality conditions, providing a unified treatment. A higher-dimensional generalization of the so-called self-dual manifolds is also investigated. The most important result related to the Petrov classification is the Goldberg-Sachs theorem. Here are presented two partial generalizations of such theorem valid in even-dimensional manifolds. On the pursuit of these results the spinorial formalism in 6 dimensions was developed from the very beginning. The book is intended to be self-contained at the level of a graduate student of physics or mathematics, with an introductory chapter about general relativity and appendices introducing Clifford algebra, spinors and group representation theory.

Product Specifications
SKU :COC61805
AuthorCarlos Batista
LanguageEnglish
BindingPaperback
Number of Pages208
Publishing Year20.01.2014
ISBN9783659520655
Edition1 st
Book TypePhysics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-05 00:00:00