Approximate perfect fluid solutions with quadrupole moment

被引：11

作者：

Abishev, Medeu ^{[1
]}

Beissen, Nurzada ^{[1
,2
]}

Belissarova, Farida ^{[1
]}

Boshkayev, Kuantay ^{[1
,3
,4
]}

Mansurova, Aizhan ^{[1
]}

Muratkhan, Aray ^{[1
]}

Quevedo, Hernando ^{[1
,5
,6
,7
]}

Toktarbay, Saken ^{[1
,8
]}

机构：

[1] Al Farabi Kazakh Natl Univ, Inst Expt & Theoret Phys, 71 al Farabi Ave, Alma Ata 050040, Kazakhstan

[2] M Kh Dulaty Taraz Reg Univ, St Tole Bi 40, Taraz 080000, Kazakhstan

[3] Al Farabi Kazakh Natl Univ, Natl Nanotechnol Lab Open Type, 71 al Farabi Ave, Alma Ata 050040, Kazakhstan

[4] Satbayev Kazakh Natl Tech Univ, Satbayev St 22a, Alma Ata 050000, Kazakhstan

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

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

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

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

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS D | 2021年 / 30卷 / 13期

关键词：

Compact object; quadrupole moment; approximate solution; ROTATING RELATIVISTIC STARS; MULTIPOLE MOMENTS; NEUTRON-STARS; MASS; MODELS; FIELD;

D O I：

10.1142/S0218271821500966

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We investigate the interior Einstein's equations in the case of a static, axially symmetric, perfect fluid source. We present a particular line element that is specially suitable for the investigation of this type of interior gravitational fields. Assuming that the deviation from spherically symmetry is small, we linearize the corresponding line element and field equations and find several classes of vacuum and perfect fluid solutions. We find some particular approximate solutions by imposing appropriate matching conditions.

引用

页数：30

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