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Existence of maximal hypersurfaces in an asymptotically anti-de Sitter spacetime satisfying a global barrier condition - MaRDI portal

Existence of maximal hypersurfaces in an asymptotically anti-de Sitter spacetime satisfying a global barrier condition (Q1103889)

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scientific article; zbMATH DE number 4054520
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English
Existence of maximal hypersurfaces in an asymptotically anti-de Sitter spacetime satisfying a global barrier condition
scientific article; zbMATH DE number 4054520

    Statements

    Existence of maximal hypersurfaces in an asymptotically anti-de Sitter spacetime satisfying a global barrier condition (English)
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    1989
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    We prove the existence of maximal hypersurfaces in an asymptotically anti-de Sitter spacetime satisfying a global barrier condition. The gradient estimate used in the proof does not need the uniform estimate of lapse functions of spacetimes under an a priori decay of height functions of spacelike hypersurfaces.
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    maximal hypersurfaces
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    anti-de Sitter spacetime
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    barrier condition
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