Cosmological Solution To Einstein-Vlasov System
Tigran Aivazian
TL;DR
This paper presents an analytical solution to the Einstein-Vlasov system for a homogeneous, isotropic universe with positive curvature, specifically addressing the case of massless particles.
Contribution
It provides the first analytical solution to the Einstein-Vlasov system in a positively curved, homogeneous, isotropic universe with massless particles.
Findings
Analytical solution for R(t) in the massless particle case
Demonstrates the behavior of the universe's scale factor in this model
Advances understanding of Einstein-Vlasov system in cosmology
Abstract
Einstein-Vlasov system is solved for a homogeneous isotropic spacetime with positive curvature. In the case of the Universe consisting of massless particles the equation for R(t) is solved analytically.
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Taxonomy
TopicsCosmology and Gravitation Theories · Gas Dynamics and Kinetic Theory · Black Holes and Theoretical Physics