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- Title
Noether Symmetries and Conservation Laws in Non-Static Plane Symmetric Spacetime.
- Authors
Farhan, Muhammad; Hussain, Tahir; Azmi, Fatima; Mlaiki, Nabil
- Abstract
In this paper, we find all nonstatic plane symmetric spacetime metrics whose corresponding Lagrangians possess Noether symmetries. The set of determining equations is analyzed through a Maple algorithm that restricts the metric coefficients to satisfy certain conditions. These restrictions on metric coefficients, while using them to solve the determining equations, give rise to a number of plane symmetric metrics admitting 4-, 5-, 6-, 7-, 8-, 9-, 11-, and 17-dimensional Noether algebras. The Noether theorem is used to find a conserved quantity corresponding to each Noether symmetry. Some physical implications are discussed by finding bounds for different energy conditions for the obtained metrics.
- Subjects
SPACETIME; CONSERVED quantity; NOETHER'S theorem; SYMMETRY; CONSERVATION laws (Physics); ALGEBRA
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 10, pN.PAG
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14102174