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

Lluís Bruna, Joan Girbau

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3 Citations (Scopus)

Abstract

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×I, with S compact, complete, having either constant negative or zero curvature. © 2005 American Institute of Physics.
Original languageEnglish
Article number072501
JournalJournal of Mathematical Physics
Volume46
Issue number7
DOIs
Publication statusPublished - 1 Jul 2005

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