Axially symmetric and static solutions of Einstein equations with self-gravitating scalar field

@article{30303,
   author = {Turimov, Bobur and Ahmedov, Bobomurat and Kološ, Martin and Stuchlík, Zdeněk},
   article_number = {8},
   doi = {http://dx.doi.org/10.1103/PhysRevD.98.084039},
   keywords = {self-gravitating scalar field; test particle motion; Einstein equations; axisymetric static solutions},
   language = {eng},
   issn = {2470-0010},
   journal = {Physical Review D},
   title = {Axially symmetric and static solutions of Einstein equations with self-gravitating scalar field},
   url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.084039},
   volume = {98},
   year = {2018}
}

TY  - JOUR
ID  - 30303
AU  - Turimov, Bobur - Ahmedov, Bobomurat - Kološ, Martin - Stuchlík, Zdeněk
PY  - 2018
TI  - Axially symmetric and static solutions of Einstein equations with self-gravitating scalar field
JF  - Physical Review D
VL  - 98
IS  - 8
SP  - "084039-1"-"084039-14"
EP  - "084039-1"-"084039-14"
SN  - 24700010
KW  - self-gravitating scalar field
KW  - test particle motion
KW  - Einstein equations
KW  - axisymetric static solutions
UR  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.084039
L2  - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.084039
N2  - 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 gamma-metric and the Erez-Rosen metric with quadrupole moment q, and the influence of the additional deformation parameters gamma* 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 gamma-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 gamma* and q* have no influence on the test particle motion in the equatorial plane.
ER  - 

TURIMOV, Bobur, Bobomurat AHMEDOV, Martin KOLOŠ a Zdeněk STUCHLÍK. Axially symmetric and static solutions of Einstein equations with self-gravitating scalar field. \textit{Physical Review D}. roč.~98, č.~8, s.~''084039-1''-''084039-14'', 14 s. ISSN~2470-0010. doi:10.1103/PhysRevD.98.084039. 2018.