Publication date: Oct 2018
Abstract:
The exact axisymmetric and static solution of the Einstein equations
coupled to the axisymmetric and static gravitating scalar (or phantom)
field is presented. The spacetimes modified by the scalar field are
explicitly given for the so-called γ -metric and the Erez-Rosen metric
with quadrupole moment q , and the influence of the additional
deformation parameters γ* and q* generated by the
scalar field is studied. It is shown that the null energy condition is
satisfied for the phantom field, but it is not satisfied for the
standard scalar field. The test particle motion in both the modified γ
-metric and the Erez-Rosen quadrupole metric is studied; the circular
geodesics are determined, and near-circular trajectories are explicitly
presented for characteristic values of the spacetime parameters. It is
also demonstrated that the parameters γ* and q*
have no influence on the test particle motion in the equatorial plane.
Authors:
Turimov, Bobur; Ahmedov, Bobomurat; Kološ, Martin; Stuchlík, Zdeněk;