| Full text | |
| Author(s): |
de Brito, K. P. S.
;
da Rocha, Roldao
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Physics A-Mathematical and Theoretical; v. 49, n. 41 OCT 2016. |
| Web of Science Citations: | 9 |
| Abstract | |
The spinor fields on 5-dimensional Lorentzian manifolds are classified according to the geometric Fierz identities, which involve their bilinear covariants. Based upon this classification, which generalises the celebrated 4-dimensional Lounesto classification of spinor fields, new non-trivial classes of 5-dimensional spinor fields are hence found, with important potential applications regarding bulk fermions and their subsequent localisation on brane-worlds. In addition, quaternionic bilinear covariants are used to derive the quaternionic spin density through the truncated exterior bundle. In order to accomplish the realisation of these new spinors, a Killing vector field is constructed on the horizon of a 5-dimensional Kerr black hole. This Killing vector field is shown to reach the time-like Killing vector field at spatial infinity through a current 1-form density, constructed with the new derived spinor fields. The current density is, moreover, expressed as the funfbein component, assuming a condensed form. (AU) | |
| FAPESP's process: | 15/10270-0 - Fluid / gravity correspondence and applications |
| Grantee: | Roldão da Rocha |
| Support Opportunities: | Regular Research Grants |