| Автор | Brien C Nolan |
| Автор | Louise V Nolan |
| Дата выпуска | 2004-08-07 |
| dc.description | We attempt to match the most general cylindrically symmetric vacuum spacetime with a Robertson–Walker interior. The matching conditions show that the interior must be dust filled and that the boundary must be comoving. Further, we show that the vacuum region must be polarized. Imposing the condition that there are no trapped cylinders on an initial time slice, we can apply a result of Thorne's and show that trapped cylinders never evolve. This results in a simplified line element which we prove to be incompatible with the dust interior. This result demonstrates the impossibility of the existence of an isotropic cylindrically symmetric star (or even a star which has a cylindrically symmetric portion). We investigate the problem from a different perspective by looking at the expansion scalars of invariant null geodesic congruences and, applying to the cylindrical case, the result that the product of the signs of the expansion scalars must be continuous across the boundary. The result may also be understood in relation to recent results about the impossibility of the static axially symmetric analogue of the Einstein–Straus model. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2004 IOP Publishing Ltd |
| Название | On isotropic cylindrically symmetric stellar models |
| Тип | paper |
| DOI | 10.1088/0264-9381/21/15/005 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 21 |
| Первая страница | 3693 |
| Последняя страница | 3703 |
| Аффилиация | Brien C Nolan; School of Mathematical Sciences, Dublin City University, Glasnevin, Dublin 9, Republic of Ireland |
| Аффилиация | Louise V Nolan; School of Mathematical Sciences, Dublin City University, Glasnevin, Dublin 9, Republic of Ireland |
| Выпуск | 15 |
