Einstein Gravity from Conformal Gravity

摘要: We show that four dimensional conformal gravity plus a simple Neumann boundary condition can be used to get the semiclassical (or tree level) wavefunction of universe asymptotically de-Sitter or Euclidean anti-de Sitter spacetimes. This selects Einstein solution out more numerous solutions gravity. It thus removes ghosts from this computation. In case five pure theory with positive cosmological constant we late time superhorizon level probability measure, $|\Psi [ g ]|^2$, for its spatial slices is given by action