Hamilton-Jacobi method for Domain Walls and Cosmologies

Abstract

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.

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

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• Fake Superpotential for Large and Small Extremal Black Holes
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• Cosmological rotating black holes in five-dimensional fake supergravity
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• Symmetric and asymmetric thick brane structures
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• Null Deformed Domain Wall
• Exotic RG Flow of Entanglement Entropy
• Comments on Holographic Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
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• 1/2-BPS Domain wall from N=10 three dimensional gauged supergravity
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• New exact solutions in multi-scalar field cosmology
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