J 2018

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

TURIMOV, Bobur, Bobomurat AHMEDOV, Martin KOLOŠ and Zdeněk STUCHLÍK

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10308 Astronomy

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 4.368

RIV identification code

RIV/47813059:19240/18:A0000247

Organization unit

Faculty of Philosophy and Science in Opava

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.
Změněno: 5/4/2019 02:03, RNDr. Jan Hladík, Ph.D.

Abstract

V originále

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.