A perfect-fluid spacetime for a slightly deformed mass
Medeu Abishev, Kuantay Boshkayev, Hernando Quevedo, Saken Toktarbay
TL;DR
This paper develops approximate solutions to Einstein's equations for the gravitational field of a static, slightly deformed mass, incorporating first-order quadrupole deformation effects.
Contribution
It provides new approximate exterior and interior solutions accounting for first-order quadrupole deformation in static mass distributions.
Findings
Derived approximate solutions for deformed mass gravitational fields.
Incorporated first-order quadrupole deformation effects.
Enhanced understanding of gravitational fields of non-spherical masses.
Abstract
We present approximate exterior and interior solutions of Einstein's equations which describe the gravitational field of a static deformed mass distribution. The deformation of the source is taken into account up to the first order in the quadrupole.
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