Mathematical Features of Several Cosmological Models
Luis P. Chimento, Alejandro S. Jakubi
TL;DR
This paper analyzes the mathematical structure of Einstein's equations for various matter sources in cosmology, reducing them to a nonlinear differential equation and examining its solutions in key cases.
Contribution
It introduces a unified approach to study Einstein equations in cosmology by reducing them to a single nonlinear differential equation and analyzing specific solutions.
Findings
Reduction of Einstein equations to a second order nonlinear ODE
Analysis of solutions in an important cosmological case
Insights into the mathematical features of cosmological models
Abstract
Einstein equations for several matter sources in homogeneous, isotropic metric are shown to reduce to a second order nonlinear ordinary differential equation. An analysis of its solutions is made in an important case.
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Taxonomy
TopicsCosmology and Gravitation Theories · Differential Equations and Boundary Problems · Black Holes and Theoretical Physics