De Sitter Space

It is the lorentzian analogue of an n sphere.

De sitter space. In mathematical physics n dimensional de sitter space is a maximally symmetric lorentzian manifold with constant positive scalar curvature. This is analogous to the relationship between euclidean geometry and non euclidean geometry. The main application of de sitter space is its use in general relativity where it serves as one of the simplest mathematical models of the universe consistent with the observed accelerating expansion of the universe. More specifically de sitter space is the maximally symmetric vacuum solution of einstein s fie.

Definition of de sitter space. De sitter space involves a variation of general relativity in which spacetime is slightly curved in the absence of matter or energy. The simplest hypothetical space time that has positive curvature those clues in particular may be applied to the most symmetric solution of einstein s equations with positive cosmological constant and no matter de sitter space. Pure de sitter space the solution to the einstein equations with a positive cosmological constant and no other matter sources is indeed a maximally symmetric space.