Approximate perfect fluid solutions with quadrupole moment
General Relativity and Quantum Cosmology
2022-03-29 v2
Abstract
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 field equations and find several classes of vacuum and perfect fluid solutions. We find physically meaninful spacetimes by imposing appropriate matching conditions.
Keywords
Cite
@article{arxiv.1902.03485,
title = {Approximate perfect fluid solutions with quadrupole moment},
author = {Medeu Abishev and Farida Belissarova and Kuantay Boshkayev and Hernando Quevedo and Saken Toktarbay and Aizhan Mansurova and Aray Muratkhan},
journal= {arXiv preprint arXiv:1902.03485},
year = {2022}
}