Motion of test particles in the field of a naked singularity

被引：65

作者：

Boshkayev, K. ^{[1
,4
,5
]}

Gasperin, E. ^{[2
]}

Gutierrez-Pineres, A. C. ^{[2
,3
]}

Quevedo, H. ^{[2
,4
,5
]}

Toktarbay, S. ^{[1
]}

机构：

[1] Al Farabi Kazakh Natl Univ, IETP, Fac Phys & Technol, Alma Ata 050040, Kazakhstan

[2] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico

[3] Univ Tecnol Bolivar, Fac Ciencias Basicas, Cartagena 131001, Colombia

[4] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

[5] Univ Roma La Sapienza, ICRA, I-00185 Rome, Italy

来源：

PHYSICAL REVIEW D | 2016年 / 93卷 / 02期

关键词：

MULTIPOLE MOMENTS; RELATIVITY; SPACETIME; MASS;

D O I：

10.1103/PhysRevD.93.024024

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We investigate the motion of test particles in the gravitational field of a static naked singularity generated by a mass distribution with a quadrupole moment. We use the quadrupole metric (q metric) which is the simplest generalization of the Schwarzschild metric with a quadrupole parameter. We study the influence of the quadrupole on the motion of massive test particles and photons and show that the behavior of the geodesics can drastically depend on the values of the quadrupole parameter. In particular, we prove explicitly that the perihelion distance depends on the value of the quadrupole. Moreover, we show that an accretion disk on the equatorial plane of the quadrupole source can be either continuous or discrete, depending on the value of the quadrupole. The inner radius of the disk can be used in certain cases to determine the value of the quadrupole parameter. The case of a discrete accretion is interpreted as due to the presence of repulsive gravity generated by the naked singularity. Radial geodesics are also investigated and compared with the Schwarzschild counterparts.

引用

页数：16

共 35 条

[21] Motion of charged test particles in Reissner-Nordstrom spacetime [J].