Thick self-gravitating plane-symmetric domain walls

dc.creatorBonjour, Filipe
dc.creatorCharmousis, Christos
dc.creatorGregory, Ruth
dc.date1999-03-15
dc.date.accessioned2026-07-07T03:33:02Z
dc.date.available2026-07-07T03:33:02Z
dc.descriptionWe investigate a self-gravitating thick domain wall for a $λΦ^4$ potential. The system of scalar and Einstein equations admits two types of non-trivial solutions: domain wall solutions and false vacuum-de Sitter solutions. The existence and stability of these solutions depends on the strength of the gravitational interaction of the scalar field, which is characterized by the number $ε$. For $ε\ll 1$, we find a domain wall solution by expanding the equations of motion around the flat spacetime kink. For ``large'' $ε$, we show analytically and numerically that only the de Sitter solution exists, and that there is a phase transition at some $ε_{\rm max}$ which separates the two kinds of solution. Finally, we comment on the existence of this phase transition and its relation to the topology of the domain wall spacetime.
dc.description10 pages, 9 eps files, talk given at Les Houches '99 Winter School
dc.identifierhttps://arxiv.org/abs/gr-qc/9903059
dc.identifierhttp://arxiv.org/abs/gr-qc/9903059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36463
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThick self-gravitating plane-symmetric domain walls
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