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.

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. 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. Definition of de sitter space.

This is analogous to the relationship between euclidean geometry and non euclidean geometry. It is called an n p dimensional de sitter space of constant curvature c and of index p. In mathematical physics n dimensional de sitter space is a maximally symmetric lorentzian manifold with constant positive scalar curvature.

There exist a number of particularly useful coordinate choices for this space. It is the lorentzian analogue of an n sphere.