Hamilton-Jacobi method for Domain Walls and Cosmologies

Details Hamilton-Jacobi method for Domain Walls and Cosmologies Hamilton-Jacobi method for Domain Walls and Cosmologies

2006-09-08

arxiv.org/abs/hep-th/0609056v2

Phys.Rev.D74:125008,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; v2: typos corrected, one ref added, version to appear in PRD

Scientific paper

10.1103/PhysRevD.74.125008

We use Hamiltonian methods to study curved domain walls and cosmologies. This leads naturally to first order equations for all domain walls and cosmologies foliated by slices of maximal symmetry. For Minkowski and AdS-sliced domain walls (flat and closed FLRW cosmologies) we recover a recent result concerning their (pseudo)supersymmetry. We show how domain-wall stability is consistent with the instability of adS vacua that violate the Breitenlohner-Freedman bound. We also explore the relationship to Hamilton-Jacobi theory and compute the wave-function of a 3-dimensional closed universe evolving towards de Sitter spacetime.

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