Domain wall space-times with a cosmological constant

[[abstract]]We solve the vacuum Einstein’s field equations with the cosmological constant in space-times admitting three-parameter group of isometries with two-dimensional spacelike orbits. The general exact solutions, which are represented in the advanced and retarded null coordinates, have two arbitrary functions due to the freedom of choosing null coordinates. In the thin-wall approximation, the Israel’s junction conditions yield one constraint equation on these two functions in spherical, planar, and hyperbolic domain wall space-times with reflection symmetry. The remain freedom of choosing coordinates is completely fixed by requiring that, when the surface energy density σ0 of domain walls vanishes, the metric solutions will return to some well-known solutions. It leads us to find a planar domain wall solution, which is conformally flat, in the de Sitter universe.[[journaltype]]國外[[incitationindex]]SCI[[booktype]]紙本[[countrycodes]]US