Killing-Yano tensors and surface terms
D.Baleanu, O.Defterli
TL;DR
This paper explores how adding surface terms involving angular momentum to free Lagrangians creates new geometries and studies their symmetries through Killing vectors, Killing-Yano tensors, and Killing tensors.
Contribution
It introduces a method to generate new geometries via surface terms and analyzes their symmetry properties using advanced tensor techniques.
Findings
New geometries with specific surface terms identified
Killing vectors and tensors characterized for these geometries
Enhanced understanding of symmetry structures in modified manifolds
Abstract
New geometries were obtained by adding a suitable surface term involving the components of the angular momentum to the corresponding free Lagrangians. Killing vectors, Killing-Yano and Killing tensors of the obtained manifolds were investigated.
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