Conservation laws corresponding to the Noether symmetries of the geodetic Lagrangian in spherically symmetric spacetimes
Bismah Jamil, Тооба Ферозе
Abstract
Bismah Jamil, Тооба Ферозе
Abstract
In this paper, we present a complete list of spherically symmetric nonstatic spacetimes along with the generators of all Noether symmetries of the geodetic Lagrangian for such metrics. Moreover, physical and geometrical interpretations of the conserved quantities (conservation laws) corresponding to each Noether symmetry are also given.
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In this paper, we present a complete list of spherically symmetric nonstatic spacetimes along with the generators of all Noether symmetries of the geodetic Lagrangian for such metrics. Moreover, physical and geometrical interpretations of the conserved quantities (conservation laws) corresponding to each Noether symmetry are also given.
Key concepts: Noether's theorem, Physics, Homogeneous space, Conservation law, Lagrangian, Conserved quantity, Symmetry (geometry), Mathematical physics