Mathematical Implications of Einstein-Weyl Causality
Springer Berlin (Verlag)
978-3-642-07233-8 (ISBN)
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 (inspired by physics), and investigate the topological and uniform structures that it implies. Their final result is that a causal space is densely embedded in one that is locally a differentiable manifold. The mathematical level required of the reader is that of the graduate student in mathematical physics.
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.
From the reviews:
"The casual structure of space-times can be described by means of two notions of precedence, namely chronological and casual precedence; one can then abstract these two notions, and the relationship between them, and consider casual spaces in general. ... This volume will be of interest in particular to workers in casual analysis, and more generally to those with an interest in the fundamental structure of space-time." (Robert J. Low, Mathematical Reviews, 2007 k)
| Erscheint lt. Verlag | 19.11.2010 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Zusatzinfo | XII, 190 p. 37 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 316 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Causality • differentiable manifolds • manifold • Mathematical Physics • Relativity • Topological Spaces |
| ISBN-10 | 3-642-07233-X / 364207233X |
| ISBN-13 | 978-3-642-07233-8 / 9783642072338 |
| Zustand | Neuware |
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