Gravitational field of slightly deformed naked singularities

被引:11
作者
Toktarbay, Saken [1 ,2 ,6 ]
Quevedo, Hernando [1 ,3 ,4 ,5 ]
Abishev, Medeu [1 ,2 ]
Muratkhan, Aray [1 ,2 ]
机构
[1] Al Farabi Kazakh Natl Univ, Inst Expt & Theoret Phys, Alma Ata 050040, Kazakhstan
[2] Inst Nucl Phys, 1 Ibragimova St, Alma Ata 050032, Kazakhstan
[3] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, AP 70543, Mexico City 70543, DF, Mexico
[4] Univ Roma Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[5] Univ Roma Sapienza, ICRA, I-00185 Rome, Italy
[6] Kazakh Natl Womens Teacher Training Univ, Dept Phys, Alma Ata 050000, Kazakhstan
来源
EUROPEAN PHYSICAL JOURNAL C | 2022年 / 82卷 / 04期
关键词
MASS;
D O I
10.1140/epjc/s10052-022-10230-2
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We derive a particular approximate solution of Einstein equations, describing the gravitational field of a mass distribution that slightly deviates from spherical symmetry. The deviation is described by means of a quadrupole parameter that is responsible for the appearance of a curvature singularity, which is not covered by a horizon. We investigate the motion of test particles in the gravitational field of this naked singularity and show that the quadrupole parameter affects the properties of Schwarzschild trajectories. By investigating radial geodesics, we find that no effects of repulsive gravity are present. We interpreted this result as indicating that repulsive gravity is non-linear effect.
引用
收藏
页数:8
相关论文
共 18 条
[1]  
Abishev M, 2016, 12 INT C GRAV ASTR C, P185
[2]   Approximate perfect fluid solutions with quadrupole moment [J].
Abishev, Medeu ;
Beissen, Nurzada ;
Belissarova, Farida ;
Boshkayev, Kuantay ;
Mansurova, Aizhan ;
Muratkhan, Aray ;
Quevedo, Hernando ;
Toktarbay, Saken .
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2021, 30 (13)
[3]   Quasinormal modes of a black hole with quadrupole moment [J].
Allahyari, Alireza ;
Firouzjahi, Hassan ;
Mashhoon, Bahram .
PHYSICAL REVIEW D, 2019, 99 (04)
[4]   Motion of test particles in the field of a naked singularity [J].
Boshkayev, K. ;
Gasperin, E. ;
Gutierrez-Pineres, A. C. ;
Quevedo, H. ;
Toktarbay, S. .
PHYSICAL REVIEW D, 2016, 93 (02)
[5]   On the equivalence of approximate stationary axially symmetric solutions of the Einstein field equations [J].
Boshkayev, Kuantay ;
Quevedo, Hernando ;
Toktarbay, Saken ;
Zhami, Bakytzhan ;
Abishev, Medeu .
GRAVITATION & COSMOLOGY, 2016, 22 (04) :305-311
[6]  
DEFELICE F, 1989, ANN PHYS-PARIS, V14, P79
[7]   Comparison of vacuum OPEN SCIENCE static quadrupolar metrics [J].
Frutos-Alfaro, Francisco ;
Quevedo, Hernando ;
Sanchez, Pedro A. .
ROYAL SOCIETY OPEN SCIENCE, 2018, 5 (05)
[8]  
Heusler M., 1996, BLACK HOLE UNIQUENES
[10]  
Luongo O., 2012, 12 MARC GROSSM M REC, P1029