Mathematical Implications of Einstein-Weyl Causality

• Κύριοι συγγραφείς: Borchers, Hans-Jürgen (Συγγραφέας), Sen, Rathindra Nath (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
• Σειρά: Lecture Notes in Physics, 709
• Θέματα: Physics.; Differential geometry.; Manifolds (Mathematics).; Complex manifolds.; Gravitation.; Theoretical, Mathematical and Computational Physics.; Manifolds and Cell Complexes (incl. Diff.Topology).; Classical and Quantum Gravitation, Relativity Theory.; Differential Geometry.

The present work is the first systematic attempt at answering the following fundamental question: what mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The authors propose an axiomatization of Einstein-Weyl causality (insp...

Πίνακας περιεχομένων:

• Geometrical Structures on Space-Time
• Light Rays and Light Cones
• Local Structure and Topology
• Homogeneity Properties
• Ordered Spaces and Complete Uniformizability
• Spaces with Complete Light Rays
• Consequences of Order Completeness
• The Cushion Problem
• Related Works
• Concluding Remarks
• Erratum to: Geometrical Structures on Space-Time
• Erratum to: Light Rays and Light Cones
• Erratum to: Local Structure and Topology
• Erratum to: Ordered Spaces and Complete Uniformizability
• Erratum to: Spaces with Complete Light Rays
• Erratum to: Consequences of Order Completeness
• Erratum.