On the uniqueness of Schwarzschild-de Sitter spacetime
| Autor: | Stefano Borghini, Piotr T. Chruściel, Lorenzo Mazzieri |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Mathematics - Differential Geometry
General Relativity and Quantum Cosmology Mathematics (miscellaneous) Mathematics - Analysis of PDEs Differential Geometry (math.DG) 26D10 35B38 58K05 Mechanical Engineering FOS: Mathematics FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Analysis Analysis of PDEs (math.AP) |
| Popis: | We establish a new uniqueness theorem for the three dimensional Schwarzschild-de Sitter metrics. For this some new or improved tools are developed. These include a reverse Lojasiewicz inequality, which holds in a neighborhood of the extremal points of any smooth function. We further prove smoothness of the set of maxima of the lapse, whenever this set contains a topological hypersurface. This leads to a new strategy for the classification of well behaved static solutions of Einstein equations with a positive cosmological constant, based on the geometry of the maximum-set of the lapse. 22 pages, 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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