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- Title
Gauge symmetries and isometries in higher dimensions.
- Authors
Bokhari, Ashfaque H.; Kara, A. H.
- Abstract
We study the invariance properties of five-dimensional metrics and their corresponding geodesic equations of motion. In this context a number of five-dimensional models of the Einstein–Gauss–Bonnet (EGB) theory leading to black holes, wormholes and spacetime horns arising in a variety of situations are discussed in the context of variational symmetries of which each vector field, via Noether's theorem (NT), provides a nontrivial conservation law. In particular, it is shown that algebraic structure of isometries and the variational conservation laws of the five-dimensional Einstein–Bonnet metric extend consistently from the well-known Minkowski, de-Sitter and Schwarzschild four-dimensional spacetimes to the considered five-dimensional ones. In the equivalent five-dimensional case, the maximal algebra of kvs is fifteen with eight additional Noether symmetries. Also, whereas the constant curvature five-dimensional case leads to fifteen kvs and one additional Noether symmetry and seven plus one in the minimal case, a number of metrics of the EGB theory in five dimensions give rise to algebras isomorphic a seven-dimensional algebra of kvs and a single additional Noether symmetry.
- Subjects
GAUGE symmetries; NOETHER'S theorem; GEODESIC equation; CONSERVATION laws (Mathematics); GEODESIC motion; VECTOR fields; DIMENSIONS
- Publication
Modern Physics Letters A, 2020, Vol 35, Issue 37, pN.PAG
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732320503101