REVIEW 2 cited by
The Borde-Guth-Vilenkin Theorem in extended de Sitter spaces
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
The Borde-Guth-Vilenkin (BGV) theorem states that any spacetime with net positive expansion must be geodesically incomplete. We derive a new version of the theorem using the fluid flow formalism of General Relativity. The theorem is purely kinematic, depending on the local expansion properties of geodesics, and makes no assumptions about energy conditions. We discuss the physical interpretation of this result in terms of coordinate patches on de Sitter space, and apply the theorem to Penrose's model of Conformal Cyclic Cosmology. We argue that the Conformal Cyclic extension of an asymptotically de Sitter universe is geodesically incomplete.
Forward citations
Cited by 2 Pith papers
-
Geodesic completeness of anisotropic cosmologies and the null energy condition
A Bianchi-I spacetime obeying the null energy condition and expanding in all directions at one time must have past-incomplete null geodesics.
-
Cosmological Perturbations from a New Approach to Inflation
A nearly static 'lingering' phase before inflation is unstable, and the growth of perturbations during that phase could seed the transition to inflation and leave observable curvature or transplanckian signatures.
Discussion (0). Continue with ORCID to comment.