TURIMOV, Bobur, Bobomurat AHMEDOV, Martin KOLOŠ and Zdeněk STUCHLÍK. Axially symmetric and static solutions of Einstein equations with self-gravitating scalar field. Physical Review D. 2018, vol. 98, No 8, p. "084039-1"-"084039-14", 14 pp. ISSN 2470-0010. Available from: https://dx.doi.org/10.1103/PhysRevD.98.084039.
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Basic information
Original name Axially symmetric and static solutions of Einstein equations with self-gravitating scalar field
Authors TURIMOV, Bobur (860 Uzbekistan, belonging to the institution), Bobomurat AHMEDOV (860 Uzbekistan), Martin KOLOŠ (203 Czech Republic, guarantor, belonging to the institution) and Zdeněk STUCHLÍK (203 Czech Republic, belonging to the institution).
Edition Physical Review D, 2018, 2470-0010.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19240/18:A0000247
Organization unit Faculty of Philosophy and Science in Opava
Doi http://dx.doi.org/10.1103/PhysRevD.98.084039
UT WoS 000448284600005
Keywords in English self-gravitating scalar field; test particle motion; Einstein equations; axisymetric static solutions
Tags International impact, Reviewed
Links GB14-37086G, research and development project. GJ16-03564Y, research and development project.
Changed by Changed by: RNDr. Jan Hladík, Ph.D., učo 25379. Changed: 5/4/2019 02:03.
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 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.
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