27 citations · 78 across the 9 of their papers we have counts for
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Fully nonlinear gravitational instabilities for expanding Newtonian universes with inhomogeneous pressure and entropy: Beyond the Tolman's solution
Chao Liu
Nonlinear gravitational instability is a crucial way to comprehend the clustering of matter and the formation of nonlinear structures in both the Universe and stellar systems. Howe…
Future global existence and stability of de Sitter-like solutions to the Einstein-Yang-Mills equations in spacetime dimensions
Chao Liu, Todd A. Oliynyk, Jinhua Wang
We establish the global existence and stability to the future of non-linear perturbation of de Sitter-like solutions to the Einstein-Yang-Mills system in spacetime dimen…
A new symmetric hyperbolic formulation and the local Cauchy problem for the Einstein--Yang--Mills system in the temporal gauge
Chao Liu, Jinhua Wang
Motivated by the future stability problem of solutions of the Einstein--Yang--Mills (EYM) system with arbitrary dimension, we aim to (1) construct a tensorial symmetric hyperbolic…
Future stability of the FLRW spacetime for a large class of perfect fluids
Chao Liu, Changhua Wei
We establish the future non-linear stability of Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) solutions to the Einstein-Euler equations of the universe filled with a large class of…
Cosmological Newtonian limits on large spacetime scales
Chao Liu, Todd A. Oliynyk
We establish the existence of -parameter families of -dependent solutions to the Einstein-Euler equations with a positive cosmological constant and a linear equation of…
Newtonian Limits of Isolated Cosmological Systems on Long Time Scales
Chao Liu, Todd A. Oliynyk
We establish the existence of -parameter families of -dependent solutions to the Einstein-Euler equations with a positive cosmological constant and a linear equation of…