1999年8月
Nakedness and curvature strength of a shell-focusing singularity in spherically symmetric spacetime with vanishing radial pressure
CLASSICAL AND QUANTUM GRAVITY
- ,
- ,
- 巻
- 16
- 号
- 8
- 開始ページ
- 2785
- 終了ページ
- 2796
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- IOP PUBLISHING LTD
It was shown recently that the metric functions which describe a spherically symmetric spacetime with vanishing radial pressure can be explicitly integrated. We investigate the nakedness and curvature strength of the shell-focusing singularity in that spacetime. If the singularity is naked, the relation between the circumferential radius and the Misner-Sharp mass is given by R approximate to 2y(0)m(B) with 1/3 < beta less than or equal to 1 along the first radial null geodesic from the singularity. The beta is closely related to the: curvature strength of the naked singularity. For example, for the outgoing or ingoing null geodesic, if the strong curvature condition (SCC) of Tipler holds, then beta must be equal to 1. We define the 'gravity-dominance condition' (GDC) for a geodesic. If GDC is satisfied for the null geodesic, both SCC and the limiting focusing condition (LFC) of Krolak holds for beta = 1 and y(0) not equal 1, not SCC but only LFC holds for 1/2 less than or equal to beta < 1, and neither holds for 1/3 < beta < 1/2, for the null geodesic. On the other hand, if GDC is satisfied for the timelike geodesic r = 0, both SCC and LFC are satisfied for the timelike geodesic, irrespective of the value of beta. Several examples are also discussed.
- リンク情報
- ID情報
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- ISSN : 0264-9381
- Web of Science ID : WOS:000082032300017