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

Fuente: arXiv
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Auteurs principaux: Lee, Ho, Nungesser, Ernesto, Tod, Paul
Format: Preprint
Publié: 2019
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author Lee, Ho
Nungesser, Ernesto
Tod, Paul
author_facet Lee, Ho
Nungesser, Ernesto
Tod, Paul
contents 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 $Σ^a_bΣ^b_a$ and $\tilde{w}^i_j \tilde{w}^j_i$ decaying as $O(t^{-\frac12})$.
format Preprint
id arxiv_https___arxiv_org_abs_1911_04937
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology
Lee, Ho
Nungesser, Ernesto
Tod, Paul
General Relativity and Quantum Cosmology
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 $Σ^a_bΣ^b_a$ and $\tilde{w}^i_j \tilde{w}^j_i$ decaying as $O(t^{-\frac12})$.
title On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/1911.04937