Singular general relativity. Colombeau approach | Point free Colombeau geometry, classical and quantum

Jaykov Foukzon (u. a.)

ISBN 10: 6202686073 / ISBN 13: 9786202686075

Published by LAP LAMBERT Academic Publishing, 2020

About this Item

Singular general relativity. Colombeau approach | Point free Colombeau geometry, classical and quantum | Jaykov Foukzon (u. a.) | Taschenbuch | Englisch | 2020 | LAP LAMBERT Academic Publishing | EAN 9786202686075 | Verantwortliche Person für die EU: LAP Lambert Academic Publishing, Brivibas Gatve 197, 1039 RIGA, LETTLAND, customerservice[at]vdm-vsg[dot]de | Anbieter: preigu.

Seller Inventory # 119219730

Bibliographic Details

• Title: Singular general relativity. Colombeau approach | Point free Colombeau geometry, classical and quantum
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2020
• Language: English
• ISBN 10: 6202686073
• ISBN 13: 9786202686075
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 11D millimeters 220 millimeters width by 150 millimeters height by 11 millimeters depth
• Weight: 256 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

This book is an exposition of "Singular Semi-Riemannian Geometry" - the study of a smooth manifold furnished with a degenerate (singular) metric tensor of arbitrary signature. This book also dealing with Colombeau extension of the Einstein field equations using apparatus of the Colombeau generalized function and contemporary generalization of the classical Lorentzian geometry named in literature Colombeau distributional geometry. The regularizations of singularities presented in some Colombeau solutions of the Einstein equations are an important part of this approach. Any singularities present in some solutions of the Einstein equations recognized only in the sense of Colombeau generalized functions and not classically. In this book essentially new class Colombeau solutions to Einstein field equations is obtained. We leave the neighborhood of the singularity at the origin and turn to the singularity at the horizon. Using nonlinear distributional geometry and Colombeau generalized functions it seems possible to show that the horizon singularity is not only a coordinate singularity without leaving Schwarzschild coordinates.