Approximate perfect fluid solutions with quadrupole moment
Abishev M. Beissen N. Belissarova F. Boshkayev K. Mansurova A. Muratkhan A. Quevedo H. Toktarbay S.
1 October 2021World Scientific
International Journal of Modern Physics D
2021#30Issue 13
We investigate the interior Einsteins 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.
approximate solution , Compact object , quadrupole moment
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Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 71 al-Farabi Avenue, Almaty, 050040, Kazakhstan
M.Kh. Dulaty Taraz Regional University, st. Tole Bi 40, Taraz, 080000, Kazakhstan
National Nanotechnology Laboratory of Open Type, Al-Farabi Kazakh National University, 71 al-Farabi Avenue, Almaty, 050040, Kazakhstan
Satbayev Kazakh National Technical University, Satbayev St. 22a, Almaty, 050000, Kazakhstan
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, DF, México, 04510, Mexico
Dipartimento di Fisica and ICRA, Università di Roma La Sapienza, Roma, I-00185, Italy
Institute of Nuclear Physics, 1 Ibragimova St., Almaty, 050032, Kazakhstan
Institute for Experimental and Theoretical Physics
M.Kh. Dulaty Taraz Regional University
National Nanotechnology Laboratory of Open Type
Satbayev Kazakh National Technical University
Instituto de Ciencias Nucleares
Dipartimento di Fisica and ICRA
Institute of Nuclear Physics
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