Exact solutions for Weyl fermions with gravity
Abstract
We consider the singlehanded spinor field in interaction with its own gravitational field described by the set of field equations given by the Weyl field equations written in terms of derivatives that are covariant with respect to the gravitational connection plus Einstein field equations soured with the energy tensor of the spinor: for the Weyl spinor and the ensuing spacetime of WeylLewisPapapetrou structure, we find all exact solutions. The obtained solution for the metric tensor is that of a PPwave spacetime, while the spinor field is a flagdipole.
 Publication:

European Physical Journal C
 Pub Date:
 October 2015
 DOI:
 10.1140/epjc/s1005201536989
 arXiv:
 arXiv:1507.06439
 Bibcode:
 2015EPJC...75..478C
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 12 pages