Classification of Plane Symmetric Static Space-Times According to Their Noether Symmetries
作者： Farhad Ali , Tooba Feroze
DOI: 10.1007/S10773-013-1630-3
关键词:
摘要: In this paper we give a classification of plane symmetric static space-times using symmetry method. For purpose consider the Lagrangian corresponding to general metric in Noether equation. This provides system determining equations. Solutions us according their symmetries. During recover all results listed Feroze et al. (J. Math. Phys. 42:4947, 2001) and Bashir Ehsan (Il Nuovo Cimento B 123:1, 2008).
springer.com
harvard.edu
sci-hub.se 参考文章(17)
Hans Stephani, Differential Equations: Their Solution Using Symmetries ,(1990)
Ashfaque H. Bokhari, Abdul R. Kashif, Asghar Qadir, A Complete Classification of Curvature Collineations of Cylindrically Symmetric Static Metrics General Relativity and Gravitation. ,vol. 35, pp. 1059- 1076 ,(2003) , 10.1023/A:1024068901739
Ashfaque H Bokhari, Asghar Qadir, None, Collineations of the Ricci tensor Journal of Mathematical Physics. ,vol. 34, pp. 3543- 3552 ,(1993) , 10.1063/1.530043
A. Qadir, M. Ziad, The classification of spherically symmetric space-times Il Nuovo Cimento B. ,vol. 110, pp. 317- 334 ,(1995) , 10.1007/BF02741372
Tooba Feroze, Asghar Qadir, M Ziad, None, The classification of plane symmetric spacetimes by isometries Journal of Mathematical Physics. ,vol. 42, pp. 4947- 4955 ,(2001) , 10.1063/1.1385175
Ashfaque H. Bokhari, Asghar Qadir, Erratum: Symmetries of static, spherically symmetric space‐times [J. Math. Phys. 28, 1019 (1987)] Journal of Mathematical Physics. ,vol. 29, pp. 525- 525 ,(1988) , 10.1063/1.528044
Ashfaque H. Bokhari, Abdul R. Kashif, Asghar Qadir, Classification of curvature collineations of plane symmetric static spacetimes Journal of Mathematical Physics. ,vol. 41, pp. 2167- 2172 ,(2000) , 10.1063/1.533233
Ashfaque H Bokhari, Asghar Qadir, None, Symmetries of static, spherically symmetric space‐times Journal of Mathematical Physics. ,vol. 28, pp. 1019- 1022 ,(1987) , 10.1063/1.527594
Asghar Qadir, M. Ziad, Static spherically symmetric space‐times with six Killing vectors Journal of Mathematical Physics. ,vol. 29, pp. 2473- 2474 ,(1988) , 10.1063/1.528084
J.M. Foyster, C.B.G. McIntosh, The classification of some spherically symmetric space-time metrics Bulletin of The Australian Mathematical Society. ,vol. 8, pp. 187- 190 ,(1973) , 10.1017/S0004972700042428