80 citations · 172 across the 15 of their papers we have counts for
7 papers · 1 filter
A stationary q-metric
Saken Toktarbay, Hernando Quevedo
We present a stationary generalization of the static metric, the simplest generalization of the Schwarzschild solution that contains a quadrupole parameter. It possesses three…
Orbital stability of the restricted three body problem in General Relativity
M. Abishev, H. Quevedo, S. Toktarbay +1
We consider the problem of orbital stability of the motion of a test particle in the restricted three-body problem, by using the orbital moment and its time derivative. We show tha…
A perfect-fluid spacetime for a slightly deformed mass
Medeu Abishev, Kuantay Boshkayev, Hernando Quevedo +1
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…
Accretion disks around a mass with quadrupole
Medeu Abishev, Kuantay Boshkayev, Hernando Quevedo +1
We consider the stability properties of test particles moving along circular orbits around a mass with quadrupole. We show that the quadrupole modifies drastically the properties o…
On the equivalence of approximate stationary axially symmetric solutions of Einstein field equations
Kuantay Boshkayev, Hernando Quevedo, Saken Toktarbay +2
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…
Motion of test particles in the field of a naked singularity
K. Boshkayev, E. Gasperin, A. C. Gutierrez-Pineres +2
We investigate the motion of test particles in the gravitational field of a static naked singularity generated by a mass distribution with quadrupole moment. We use the quadrupole-…
Generating static perfect-fluid solutions of Einstein's equations
Hernando Quevedo, Saken Toktarbay
We present a method for generating exact interior solutions of Einstein's equations in the case of static and axially symmetric perfect-fluid spacetimes. The method is based upon a…