On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology

Autor: Lee, Ho, Nungesser, Ernesto, Tod, Paul
Rok vydání: 2019
Předmět:
Zdroj: Gen Relativ Gravit 52, 48 (2020)
Druh dokumentu: Working Paper
DOI: 10.1007/s10714-020-02699-7
Popis: We show that massless solutions to the Einstein-Vlasov system in a Bianchi I space-time with small anisotropy, i.e. small shear and small trace-free part of the spatial energy momentum tensor, tend to a radiation fluid in an Einstein-de Sitter space-time with the anisotropy $\Sigma^a_b\Sigma^b_a$ and $\tilde{w}^i_j \tilde{w}^j_i$ decaying as $O(t^{-\frac12})$.
Comment: 11 pages. In this version V2 errata corrected (in particular decay rates of anisotropy) and references added
Databáze: arXiv