We establish the existence of 1-parameter families of $$\epsilon $$ ϵ -dependent solutions to the Einstein–Euler equations with a positive cosmological constant $$\Lambda >0$$ Λ > 0 and a linear equation of state $$p=\epsilon ^2 K \rho $$ p = ϵ 2 K ρ , $$0<K\le 1/3$$ 0 < K ≤ 1 / 3 , for the parameter values $$0<\epsilon < \epsilon _0$$ 0 < ϵ < ϵ 0 . These solutions exist globally to the future, converge as $$\epsilon \searrow 0$$ ϵ ↘ 0 to solutions of the cosmological Poisson–Euler equations of Newtonian gravity, and are inhomogeneous nonlinear perturbations of FLRW fluid solutions.
Annales Henri Poincaré – Springer Journals
Published: Jun 4, 2018
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
All the latest content is available, no embargo periods.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud