Abstract
Using the well known “displace, cut and reflect” method used to generate disks from given solutions of Einstein field equations, we construct somerelativistic models of time dependent thin disks of infinite extension made of a perfect fluid based on the Robertson-Walker metric. Two simple families of models of disks based on Robertson-Walker solutions admitting Matter and Ricci collineations are presented. We obtain disks that are inagreement with all the energy conditions.
Highlights
Exact solutions of Einstein field equations describing relativistic thin disks are of great astrophysical importance since they can be used as models of certain stars, galaxies and accretion disks
The purpose of this paper is to consider time dependent thin disk of infinite extension made of a perfect fluid, i.e., with radial pressure equal to tangential pressure, immersed in a Robertson-Walker type cosmological model
Using the well-known “displace, cut and reflect” method used to generate disks from given solutions of Einstein field equations, we constructed time dependent disks of infinite extension made of a perfect fluid based on the well known Robertson-Walker metric
Summary
Exact solutions of Einstein field equations describing relativistic thin disks are of great astrophysical importance since they can be used as models of certain stars, galaxies and accretion disks. The physical properties of the matter distribution are studied by an analysis of the surface energy-momentum tensor so obtained. Another approach to generate disks is by solving the Einstein equations given a source (energy-momentum tensor). The purpose of this paper is to consider time dependent thin disk of infinite extension made of a perfect fluid, i.e., with radial pressure equal to tangential pressure, immersed in a Robertson-Walker type cosmological model. These models can be important in the study of the evolution of some planar astrophysical objects such as galaxies or accretion disks.
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