Spherically Symmetric Perturbation of Ultrarelativistic Fluid in Homogeneous and Isotropic Universe
Yu. Ignat'ev, A. Popov (Kazan State Pedagogical University)
TL;DR
This paper derives solutions to linearized Einstein's equations for spherically symmetric perturbations in an ultrarelativistic fluid universe, discussing boundary conditions and providing particle-like and wave-like examples.
Contribution
It presents new analytical solutions for perturbations in an ultrarelativistic fluid universe, including boundary condition analysis and specific solution examples.
Findings
Solutions include particle-like and wave-like perturbations.
Boundary conditions for perturbations are analyzed.
Provides explicit examples of perturbation solutions.
Abstract
A solution of the linearized Einstein's equations for a spherically symmetric perturbation of the ultrarelativistic fluid in the homogeneous and isotropic universe is obtained. Conditions on the boundary of the perturbation are discussed. The examples of particle-like and wave-like solutions are given.
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