Spin-1/2 and spin-3/2 field solutions in plane wave spacetimes


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AÇIK Ö.

GENERAL RELATIVITY AND GRAVITATION, vol.50, no.3, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.1007/s10714-018-2356-6
  • Journal Name: GENERAL RELATIVITY AND GRAVITATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Dirac spinors, Rarita-Schwinger Field, Clifford bundle and spinors, Tensor spinors, Solutions and symmetries, EQUATIONS
  • Ankara University Affiliated: Yes

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 themassless sector.