主 题: Cosmological Newtonian limits on large scales
报告人: Dr. Chao Liu (BICMR)
时 间: 2017-12-27 10:00 - 2017-12-27 11:30
地 点: Room 29, Quan Zhai, BICMR
Abstract：??
\nI will give a very brief overview of the rigid mathematical proof of one basic question in cosmological simulation: on what space and time scales Newtonian cosmological simulations can be trusted to approximate relativistic cosmologies???
\nWe resolve this question by investigating Einstein-Euler systems with positive cosmological constant and Poisson-Euler systems under a small initial data condition. Informally, we establish the initial data set in the meaning of cosmological scale which solves constraint equations and construct the existence of 1-parameter families of $\\epsilon$-dependent solutions to Einstein-Euler systems with a positive cosmological constant that:??
\n(1) are defined for $\\epsilon \\in (0,\\epsilon_0)$ for some fixed constant $\\epsilon_0>0$,??
\n(2) exist globally on $(t,x^i)\\in[0,+\\infty)\\times \\mathbb{R}^3$, % and are geodesically complete to the future,??
\n(3) converge, in a suitable sense, as $\\epsilon \\searrow 0$ to solutions of the cosmological Poison-Euler equations of Newtonian gravity, and??
\n(4) are small, non-linear perturbations of the FLRW fluid solutions (via conformal singular formulation of Einstein-Euler system).? ??
\nThis talk originates from a joint work with Todd Oliynyk, see arXiv:1701.03975 and arXiv:1711.10896.
