On the equivalence of approximate stationary axially symmetric solutions of the Einstein field equations
- Authors: Boshkayev K.1,2, Quevedo H.2,3, Toktarbay S.1, Zhami B.1, Abishev M.1,4
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Affiliations:
- Department of Theoretical and Nuclear Physics
- Dipartimento di Fisica and ICRA
- Instituto de Ciencias Nucleares
- Institute of Gravitation and Cosmology
- Issue: Vol 22, No 4 (2016)
- Pages: 305-311
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176041
- DOI: https://doi.org/10.1134/S0202289316040046
- ID: 176041
Cite item
Abstract
We study stationary axially symmetric solutions of the Einstein vacuum field equations that can be used to describe the gravitational field of astrophysical compact objects in the limiting case of slow rotation and slight deformation. We derive explicitly the exterior Sedrakyan–Chubaryan approximate solution, and express it in an analytical form, which makes it practical in the context of astrophysical applications. In the limiting case of vanishing angular momentum, the solution reduces to the well-known Schwarzschild solution in vacuum. We demonstrate that the new solution is equivalent to the exterior Hartle–Thorne solution. We establish mathematical equivalence between the Sedrakyan–Chubaryan, Fock–Abdildin and Hartle–Thorne formalisms.
About the authors
Kuantay Boshkayev
Department of Theoretical and Nuclear Physics; Dipartimento di Fisica and ICRA
Author for correspondence.
Email: kuantay@mail.ru
Kazakhstan, Almaty, 050040; Roma, I-00185
Hernando Quevedo
Dipartimento di Fisica and ICRA; Instituto de Ciencias Nucleares
Author for correspondence.
Email: quevedo@nucleares.unam.mx
Italy, Roma, I-00185; México, DF 04510
Saken Toktarbay
Department of Theoretical and Nuclear Physics
Author for correspondence.
Email: saken.yan@yandex.com
Kazakhstan, Almaty, 050040
Bakytzhan Zhami
Department of Theoretical and Nuclear Physics
Author for correspondence.
Email: zhami.bakytzhan@gmail.com
Kazakhstan, Almaty, 050040
Medeu Abishev
Department of Theoretical and Nuclear Physics; Institute of Gravitation and Cosmology
Email: zhami.bakytzhan@gmail.com
Kazakhstan, Almaty, 050040; Moscow, 117198