| Автор | Kjell Rosquist |
| Дата выпуска | 1995-05-01 |
| dc.description | An ADM-like Hamiltonian approach is proposed for static spherically symmetric relativistic star configurations. For a given equation of state the entire information about the model can be encoded in a certain two-dimensional minisuperspace geometry. We derive exact solutions which arise from symmetries corresponding to linear and quadratic geodesic invariants in minisuperspace by exploiting the relation to minisuperspace Killing tensors. A classification of exact solutions having the full number of integration constants is given according to their minisuperspace symmetry properties. In particular it is shown that Schwarzschild's exterior solution and Buchdahl's n=1 polytrope solution correspond to minisuperspaces with a Killing vector symmetry, while Schwarzschild's interior solution, Whittaker's solution and Buchdahl's n=5 polytrope solution correspond to minisuperspaces with a second rank Killing tensor. New solutions filling in empty slots in this classification scheme are also given. One of these new solutions has a physically reasonable equation of state and is a generalization of Buchdahl's n=1 polytrope model. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Hamiltonian approach to relativistic star models |
| Тип | paper |
| DOI | 10.1088/0264-9381/12/5/019 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 12 |
| Первая страница | 1305 |
| Последняя страница | 1326 |
| Аффилиация | Kjell Rosquist; Department of Physics, Stockholm University, Box 6730, 113 85 Stockholm, Sweden; RGGR Group, Chimie-Physique, CP231, ULB Campus Plaine, Brussels, Belgium |
| Выпуск | 5 |
