Symmetries of the Energy–Momentum Tensor for Static Plane Symmetric Spacetimes
[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee
2023
scientific article
english
- matter collineations
- static plane-symmetric spacetimes
- contravariant and mixed energy-momentum tensor
EN This article explores matter collineations (MCs) of static plane-symmetric spacetimes, considering the stress–energy tensor in its contravariant and mixed forms. We solve the MC equations in two cases: when the energy–momentum tensor is nondegenerate and degenerate. For the case of a degenerate energy–momentum tensor, we employ a direct integration technique to solve the MC equations, which leads to an infinite-dimensional Lie algebra. On the other hand, when considering the nondegenerate energy–momentum tensor, the contravariant form results in a finite-dimensional Lie algebra with dimensions of either 4 or 10. However, in the case of the mixed form of the energy–momentum tensor, the dimension of the Lie algebra is infinite. Moreover, the obtained MCs are compared with those already found for covariant stress–energy.
21.08.2023
1614-1 - 1614-10
Article Number: 16114
CC BY (attribution alone)
open journal
final published version
at the time of publication
70
2,2