Department of Physics2024-11-0920221742-658810.1088/1742-6596/2191/1/0120102-s2.0-85124945540http://dx.doi.org/10.1088/1742-6596/2191/1/012010https://hdl.handle.net/20.500.14288/13755The variational field equations of Brans-Dicke scalar-tensor theory of gravitation that is coupled to a mass-varying sterile neutrino field are presented in Riemannian and non-Riemannian setting in the language of exterior differential forms over four-dimensional spacetime. In a gravitational plane wave geometry in Rosen coordinates, with the scalar field set equal to a constant, the field equations admit ghost neutrino solutions. These correspond to Majorana spinor configurations for which the total neutrino stress-energy-momentum tensor vanishes. We show here that in the absence of a sterile neutrino in the gravitational wave geometry, there are scalar field configurations for which the total scalar field stress-energy-momentum tensor vanishes for negative values of the Brans-Dicke parameter-3/2 < ω < 0. © 2021 Published under licence by IOP Publishing Ltd.SpinningGeodesicGravitational wavesConference proceedinghttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85124945540&doi=10.1088%2f1742-6596%2f2191%2f1%2f012010&partnerID=40&md5=64c8cd11d6dc17f8e905c022ad559b4f2102