Mathematical Implications of Einstein-Weyl Causality / Lecture Notes in Physics Bd.709 (PDF)
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...
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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.
- Autoren: Hans Jürgen Borchers , Rathindra Nath Sen
- 2007, 2006, 190 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 354037681X
- ISBN-13: 9783540376811
- Erscheinungsdatum: 22.02.2007
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- Dateiformat: PDF
- Größe: 1.44 MB
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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)
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