Mathematical Implications of Einstein-Weyl Causality
- Author
- Hans-Jürgen Borchers, Rathindra Nath Sen
- Publication Year
- 2006
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Physics
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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.
Keywords: Physics and Astronomy / Causality / Differentiable manifolds / Manifold / Mathematical physics / Relativity / Topological spaces
