Spin-1/2 and spin-3/2 field solutions in plane wave spacetimes
General Relativity and Quantum Cosmology
2018-03-16 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We have found two non-trivial massless Dirac and two massive Rarita-Schwinger solutions in plane wave spacetimes. The first order symmetry operator transforming one of the massless Dirac solution to the other is constructed. The only non-vanishing spinor bilinear generated by the standard spinor basis is obtained and algebraic relations between the induced parallel forms are demonstrated. It is also seen that the spin-3/2 norm of the Rarita-Schwinger solutions enforces to the massless sector.
Keywords
Cite
@article{arxiv.1712.06376,
title = {Spin-1/2 and spin-3/2 field solutions in plane wave spacetimes},
author = {Özgür Açık},
journal= {arXiv preprint arXiv:1712.06376},
year = {2018}
}
Comments
10 pages, published version