Search Results for author: Todd A. Oliynyk

Found 2 papers, 0 papers with code

Cosmological Newtonian limits on large spacetime scales

no code implementations28 Nov 2017 Chao Liu, Todd A. Oliynyk

We establish the existence of $1$-parameter families of $\epsilon$-dependent solutions to the Einstein-Euler equations with a positive cosmological constant $\Lambda >0$ and a linear equation of state $p=\epsilon^2 K \rho$, $0<K\leq 1/3$, for the parameter values $0<\epsilon < \epsilon_0$.

General Relativity and Quantum Cosmology Analysis of PDEs

Newtonian Limits of Isolated Cosmological Systems on Long Time Scales

no code implementations14 Jan 2017 Chao Liu, Todd A. Oliynyk

We establish the existence of $1$-parameter families of $\epsilon$-dependent solutions to the Einstein-Euler equations with a positive cosmological constant $\Lambda >0$ and a linear equation of state $p=\epsilon^2 K \rho$, $0<K\leq 1/3$, for the parameter values $0<\epsilon < \epsilon_0$.

General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics Analysis of PDEs

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