Gravitational Refraction of Compact Objects with Quadrupoles

被引：10

作者：

Beissen, Nurzada ^{[1
]}

Utepova, Daniya ^{[1
,2
]}

Abishev, Medeu ^{[1
,3
]}

Quevedo, Hernando ^{[1
,4
,5
,6
]}

Khassanov, Manas ^{[1
]}

Toktarbay, Saken ^{[1
,7
]}

机构：

[1] Al Farabi Kazakh Natl Univ, Inst Expt & Theoret Phys, Alma Ata 050040, Kazakhstan

[2] Abai Kazakh Natl Pedag Univ, Dostyk Ave 13, Alma Ata 050010, Kazakhstan

[3] Inst Nucl Phys, 1 Ibragimova St, Alma Ata 050032, Kazakhstan

[4] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, AP 70543, Mexico City 04510, Mexico

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

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

[7] Kazakh Natl Womens Teacher Training Univ, Dept Phys, Alma Ata 050000, Kazakhstan

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 03期

关键词：

compact object; refractive index; deflection angle; material medium approach; OPTICAL-MECHANICAL ANALOGY; GENERAL-RELATIVITY; FIELD;

D O I：

10.3390/sym15030614

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We use the material medium approach to derive the refractive index that can be associated with the gravitational field of a compact object with a quadrupole moment. We consider both a static deformation and a stationary rotation of the gravitational source as the source of the quadrupole. We show that up to the first order in the quadrupole, the refractive indices of both configurations are equivalent such that from the point of view of refraction, a mimicking effect can occur. This also holds at the level of the deflection angle. We argue that it is possible to use the refractive indices and the parameters of the trajectories of light rays that propagate in a gravitational field to determine the physical parameters of the source.

引用

页数：12

共 39 条

[1]

Abishev M., 2016, Gravitation, Astrophysics, and Cosmology, P185

[2] The optical-mechanical analogy for stationary metrics in general relativity [J].