تقرير
Exact radial solution in 2+1 gravity with a real scalar field
| العنوان: | Exact radial solution in 2+1 gravity with a real scalar field |
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| المؤلفون: | Schmidt, H. -J., Singleton, D. |
| المصدر: | Phys.Lett.B721:294-298,2013 |
| سنة النشر: | 2012 |
| المجموعة: | General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, 83C80, 83C15, 83C57, 53Z05, 81T20 |
| الوصف: | In this paper we give some general considerations about circularly symmetric, static space-times in 2+1 dimensions, focusing first on the surprising (at the time) existence of the BTZ black hole solution. We show that BTZ black holes and Schwarzschild black holes in 3+1 dimensions originate from different definitions of a black hole. There are two by-products of this general discussion: (i) we give a new and simple derivation of 2+1 dimensional Anti-de Sitter (AdS) space-time; (ii) we present an exact solution to 2+1 dimensional gravity coupled to a self-interacting real scalar field. The spatial part of the metric of this solution is flat but the temporal part behaves asymptotically like AdS space-time. The scalar field has logarithmic behavior as one would expect for a massless scalar field in flat space-time. The solution can be compared to gravitating scalar field solutions in 3+1 dimensions but with certain oddities connected with the 2+1 dimensional character of the space-time. The solution is unique to 2+1 dimensions; it does not carry over to 3+1 dimensions. Comment: 13 pages, minor revisions, updated references, to be published PLB |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.physletb.2013.03.007 |
| URL الوصول: | http://arxiv.org/abs/1212.1285 |
| رقم الأكسشن: | edsarx.1212.1285 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.physletb.2013.03.007 |
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