Автор |
M Mars |
Автор |
J M M Senovilla |
Дата выпуска |
1993-08-01 |
dc.description |
Axisymmetric spacetimes with a conformal symmetry are studied and it is shown that, if there is no further conformal symmetry, the axial Killing vector and the conformal Killing vector must commute. As a direct consequence, in conformally stationary and axisymmetric spacetimes, no restriction is made by assuming that the axial symmetry and the conformal timelike symmetry commute. Furthermore, the authors prove that in axisymmetric spacetimes with another symmetry (such as stationary and axisymmetric or cylindrically symmetric spacetimes) and a conformal symmetry, the commutator of the axial Killing vector with the two others must vanish or else the symmetry is larger than that originally considered. The results are completely general, and do not depend on Einstein's equations or any particular matter content. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Axial symmetry and conformal Killing vectors |
Тип |
paper |
DOI |
10.1088/0264-9381/10/8/020 |
Electronic ISSN |
1361-6382 |
Print ISSN |
0264-9381 |
Журнал |
Classical and Quantum Gravity |
Том |
10 |
Первая страница |
1633 |
Последняя страница |
1647 |
Аффилиация |
M Mars; Dept. de Fisica Fonamental, Barcelona Univ., Spain |
Аффилиация |
J M M Senovilla; Dept. de Fisica Fonamental, Barcelona Univ., Spain |
Выпуск |
8 |