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The global stability of the Minkowski space-time in harmonic gauge | | Hans Lindblad
; Igor Rodnianski
; | | Date: |
5 Nov 2004 | | Subject: | Analysis of PDEs; Mathematical Physics | math.AP gr-qc math-ph math.MP | | 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. | | Source: | arXiv, math.AP/0411109 | | Services: | Forum | Review | PDF | Favorites | |
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