On the time evolution of a homogeneous isotropic gaseous universe
Tetu Makino
TL;DR
This paper provides a rigorous mathematical proof of the universe's evolution from a Big Bang to infinite expansion, modeled as a homogeneous isotropic perfect gas within Einstein's equations.
Contribution
It offers a rigorous proof of the universe's evolution from the Big Bang to infinite expansion under specific conditions, using Einstein-Euler-de Sitter equations.
Findings
Existence of the Big Bang at finite past.
Universe expands infinitely into the future.
Mathematically rigorous proof of cosmological evolution.
Abstract
We investigate the time evolution of a homogeneous isotropic universe which consists of a perfect gas governed by the Einstein-Euler-de Sitter equations. Under suitable assumptions on the equation of state and assumptions on the present states, we give a mathematically rigorous proof of the existence of the Big Bang at the finite past and expanding of the universe in the course to the infinite future.
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Taxonomy
TopicsCosmology and Gravitation Theories · Advanced Thermodynamics and Statistical Mechanics · Gas Dynamics and Kinetic Theory