Supergravity and the de Sitter space

Thanjian M. Pan, Tatiana A. Khlopov, Varun Verma
Comments: 14 pages, 1 figure, v3: references updated

We construct a de Sitter space solution for the supergravity field theory in the de Sitter space, which is consistent with the presence of a de Sitter singularity. The solution is constructed by bringing the de Sitter space to a point in the plane perpendicular to the normal plane. It is shown that the geometry of the de Sitter space solution is determined by the velocity of the de Sitter space. We also show that the solution satisfies the semi-classical interpretation of the $\Lambda$CDM singularity.