Hamilton-Jacobi method for curved domain walls and cosmologies

Sep, 2006
18 pages
Published in:
  • Phys.Rev.D 74 (2006) 125008
e-Print:
Report number:
  • ITFA-2006-32

Citations per year

20062011201620212025024681012
Abstract: (arXiv)
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.
  • 11.27.+d
  • 98.80.Jk
  • 04.65.+e
  • domain wall: stability
  • Hamilton-Jacobi equation
  • Hamiltonian formalism
  • space-time: anti-de Sitter
  • supersymmetry
  • wave function: semiclassical