Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant
被引:3
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作者:
Lee, Ho
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机构:
Kyung Hee Univ, Dept Math, Seoul 02447, South Korea
Kyung Hee Univ, Res Inst Basic Sci, Seoul 02447, South KoreaKyung Hee Univ, Dept Math, Seoul 02447, South Korea
Lee, Ho
[1
,2
]
Nungesser, Ernesto
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机构:
UCM, Inst Ciencias Matemat, UC3M, CSIC,UAM, Madrid 28049, SpainKyung Hee Univ, Dept Math, Seoul 02447, South Korea
Nungesser, Ernesto
[3
]
机构:
[1] Kyung Hee Univ, Dept Math, Seoul 02447, South Korea
[2] Kyung Hee Univ, Res Inst Basic Sci, Seoul 02447, South Korea
[3] UCM, Inst Ciencias Matemat, UC3M, CSIC,UAM, Madrid 28049, Spain
In this paper, we study the future global existence and late-time behaviour of the Einstein-Boltzmann system with Bianchi I symmetry and a positive cosmological constant A > 0. For the Boltzmann equation, we consider the scattering kernel of Israel particles which are the relativistic counterpart of Maxwellian particles. Under a smallness assumption on initial data in a suitable norm, we show that solutions exist globally in time and isotropize at late times. Published by AIP Publishing.