Abstract
For the spherically symmetric Stephani cosmological model with an accelerated expansion, we investigate the main scenarios of the test particle and photon motion. We show that a comoving observer sees an appropriate picture. In the case of purely radial motion, the radial velocity decreases slightly with time due to the universe expansion. Both particles and photons spiral out of the center when the radial coordinate is constant. In the case of the motion with arbitrary initial velocity, the observable radial distance to the test particle can increase under negative observable radial velocity.
Highlights
We investigate the geodesic structure of the model obtained in [16] to verify if the singularities of the model can affect the light and test particle motion within the observable area
Numerically, we find the observable radial velocity vr of the test particle presented in Figures 1 and 2
We choose the initial conditions in the following way: Tin indicates the moment when observations start, χin and vr0 are the initial position and the initial radial velocity of the test particle, respectively
Summary
Stephani solution [2] is among them It allows building of the model of the universe with accelerated expansion within general relativity with no modifications or suggestions of the exotic types of matter [3,4,5,6,7,8]. This is a non-static solution for expanding perfect fluid with zero shear and rotation, which contains the known Friedmann solution as a particular case.
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