Laplacian in the hyperbolic space Hn and linearization stability of the Einstein equation for Robertson-Walker models

Laplacian in the hyperbolic space Hn and linearization stability of the Einstein equation for Robertson-Walker models

We prove that some operators related to the rough Laplacian in the hyperbolic space give isomorphisms between Sobolev spaces of 1-forms. By using these results we prove that the Einstein equation of the hyperbolic Robertson-Walker cosmological model is linearization stable. We also study the lineari...

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Veröffentlicht in:Journal of mathematical physics 2005-07, Vol.46 (7), p.Q1
Hauptverfasser: Bruna, Lluis, Girbau, Joan
Format: Artikel
Sprache:eng
Schlagworte:
Cosmology
Mathematical models
Vector space
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Zusammenfassung:We prove that some operators related to the rough Laplacian in the hyperbolic space give isomorphisms between Sobolev spaces of 1-forms. By using these results we prove that the Einstein equation of the hyperbolic Robertson-Walker cosmological model is linearization stable. We also study the linearization stability for Robertson-Walker models, V=S x I, with S compact, complete, having either constant negative or zero curvature. [PUBLICATION ABSTRACT]
ISSN:0022-2488
1089-7658