Spherically symmetric solution with Dirac scalar field in Cartan-Weyl space

Babourova O.V., Frolov B.N., Romanova E.V.

Moscow State Pedagogical University, Moscow, Russia

E-mail: Babourova baburova@orc.ru; Frolov frolovbn@orc.ru; Romanova solntce_07@mail.ru

On the basis of the modified variational principle a spherically symmetric solution of the theory of gravitation with the Weyl-Dirac scalar in Cartan-Weyl space is found. The metrics of this solution coincides with the Yilmaz-Rosen metric, and the solution for the Weyl-Dirac scalar field is . The hypothesis that the Weyl-Dirac scalar field represents the main component of dark matter is stated.

Keywords: variational principle, Cartan-Weyl space, Weyl-Dirac scalar field, spherically symmetric solution.

DOI: 10.18698/2309-7604-2015-1-49-59

Article file: Babourova1.pdf