تقرير
Geometric Boundary Data for the Gravitational Field
| العنوان: | Geometric Boundary Data for the Gravitational Field |
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| المؤلفون: | Kreiss, H-O., Winicour, J. |
| المصدر: | Class. Quantum Grav. 31 (2014) 065004 |
| سنة النشر: | 2013 |
| المجموعة: | General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology |
| الوصف: | An outstanding issue in the treatment of boundaries in general relativity is the lack of a local geometric interpretation of the necessary boundary data. For the Cauchy problem, the initial data is supplied by the 3-metric and extrinsic curvature of the initial Cauchy hypersurface.. This Cauchy data determines a solution to Einstein's equations which is unique up to a diffeomorphism. Here, we show how three pieces of boundary data, which are associated locally with the geometry of the boundary, likewise determine a solution of the initial-boundary value problem which is unique up to a diffeomorphism. One piece of this data, constructed from the extrinsic curvature of the boundary, determines the dynamical evolution of the boundary. The other two pieces constitute a conformal class of rank-2, positive definite metrics, which represent the two gravitational degrees of freedom. Comment: Clarification given and typos corrected. Published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/0264-9381/31/6/065004 |
| URL الوصول: | http://arxiv.org/abs/1302.0800 |
| رقم الأكسشن: | edsarx.1302.0800 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/0264-9381/31/6/065004 |
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