Isotropization of Slowly Expanding Spacetimes

David Fajman; Gernot Hei{\ss}el; Hamed Barzegar

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arxiv 1904.13290 v2 pith:7YCQBO5B submitted 2019-04-30 gr-qc math-phmath.MP

Isotropization of Slowly Expanding Spacetimes

Hamed Barzegar , David Fajman , Gernot Hei{\ss}el This is my paper

classification gr-qc math-phmath.MP

keywords dataisotropizationasymptotesbianchiclassclosediagonaleinstein-desitter

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We show that the homogeneous, massless Einstein-Vlasov system with toroidal spatial topology and diagonal Bianchi type I symmetry for initial data close to isotropic data isotropizes towards the future and in particular asymptotes to a radiative Einstein-deSitter model. We use an energy method to obtain quantitative estimates on the rate of isotropization in this class of models.

Isotropization of Slowly Expanding Spacetimes

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