Mathematical Implications of Einstein-Weyl Causality
- المؤلف
- Hans-Jürgen Borchers, Rathindra Nath Sen
- سنة النشر
- 2006
- الناشر
- Springer
- لغة الملف
- انكليزي
- نوع الملف
- Book
- تصنيف الكتاب
- Physics
- تحميل الكتاب قراءة الكتاب
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.
الكلمات المفتاحية: Physics and Astronomy / Causality / Differentiable manifolds / Manifold / Mathematical physics / Relativity / Topological spaces
