تقرير
A conformal boundary for space-times based on light-like geodesics: the 3-dimensional case
| العنوان: | A conformal boundary for space-times based on light-like geodesics: the 3-dimensional case |
|---|---|
| المؤلفون: | Bautista, A., Ibort, A., Lafuente, J., Low, R. |
| المصدر: | Journal of Mathematical Physics, 58, 022503 (2017) |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics General Relativity and Quantum Cosmology Mathematical Physics |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, Mathematical Physics |
| الوصف: | A new causal boundary, which we will term the $l$-boundary, inspired by the geometry of the space of light rays and invariant by conformal diffeomorphisms for space-times of any dimension $m\geq 3$, proposed by one of the authors (R.J. Low, The space of null geodesics (and a new causal boundary), Lecture Notes in Physics, 692, Springer, 2006, 35--50) is analyzed in detail for space-times of dimension 3. Under some natural assumptions it is shown that the completed space-time becomes a smooth manifold with boundary and its relation with Geroch-Kronheimer-Penrose causal boundary is discussed. A number of examples illustrating the properties of this new causal boundary as well as a discussion on the obtained results will be provided. Comment: 28 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1063/1.4976506 |
| الوصول الحر: | http://arxiv.org/abs/2207.01273Test |
| رقم الانضمام: | edsarx.2207.01273 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1063/1.4976506 |
|---|