WAVE FLUCTUATIONS NEAR A DE SITTER BRANE IN AN ANTI-DE SITTER UNIVERSE
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en
Article de revue
Ce document a été publié dans
Comptes Rendus. Mathématique. 2016, vol. 354, n° 1, p. 19-25
Académie des sciences (Paris)
Résumé en anglais
We investigate the Klein-Gordon equation in the past causal domain of a de Sitter brane imbedded in an anti-de Sitter bulk. We solve the global mixed hyperbolic problem. We prove that any finite energy solution can be ...Lire la suite >
We investigate the Klein-Gordon equation in the past causal domain of a de Sitter brane imbedded in an anti-de Sitter bulk. We solve the global mixed hyperbolic problem. We prove that any finite energy solution can be expressed as a Kaluza Klein tower that is a superposition of free fields in the Steady State Universe, of which we study the asymptotic behaviors. We show that the leading term of a gravitational fluctuation is a massless graviton, i.e. the de Sitter brane is linearly stable.< Réduire
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