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The global stability of the Minkowski space-time in harmonic gauge

Hans Lindblad·Igor Rodnianski
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Abstract

We give a new proof of the global stability of Minkowski space originally established in the vacuum case by Christodoulou and Klainerman. The new approach shows that the Einstein-vacuum and the Einstein-scalar field equations with general asymptotically flat initial data satisfying a global smallness condition produce global (causally geodesically complete) solutions asymptotically convergent to the Minkowski space-time. The proof utilizes the classical harmonic (also known as de Donder or wave coordinate) gauge.

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Hans Lindblad, Igor Rodnianski. 2004-11-05. The global stability of the Minkowski space-time in harmonic gauge. https://arxiv.org/abs/math/0411109

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