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Semi-global solutions of Einstein equations, minkowskian near past infinity

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Abstract

On a universe homeomorphic toV T =]− ∞,T[xℝ3, we prove the existence of solutions of Einstein equations, minkowskian near past infinity, if the sources are small enough for some norms. We prove that some of these solutions verify at least the positivity condition (“Weak energy condition”) on some domains homeomorphic toV T.

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Authors and Affiliations

  1. Faculté des Sciences, Université de Yaoundé, B.P. 812, Yaoundé, Cameroun

    F. Cagnac & N. Noutchegueme

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  1. F. Cagnac
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  2. N. Noutchegueme
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Communicated by A. Jaffe

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Cagnac, F., Noutchegueme, N. Semi-global solutions of Einstein equations, minkowskian near past infinity. Commun.Math. Phys. 130, 157–184 (1990). https://doi.org/10.1007/BF02099880

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  • DOI: https://doi.org/10.1007/BF02099880

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