Cyclic Universe and Infinite Past

Abstract

We address two questions about the past for infinitely cyclic cosmology. The first is whether it can contain an infinite length null geodesic into the past in view of the Borde-Guth-Vilenkin (BGV) "no-go" theorem, The second is whether, given that a small fraction of spawned universes fail to cycle, there is an adequate probability for a successful universe after an infinite time. We give positive answers to both questions then show that in infinite cyclicity the total number of universes has been infinite for an arbitrarily long time.

7 pages. Clarification in discussion of infinite past

References in corpus (7)

• Non-conventional cosmology from a brane-universe
• Cosmic Evolution in a Cyclic Universe
• A Cyclic Model of the Universe
• Inflationary spacetimes are not past-complete
• Cosmology of Brane Models with Radion Stabilization
• Turnaround in Cyclic Cosmology
• Why the cosmological constant is small and positive

Cited by in corpus (8)

• Oscillating universe with quintom matter
• Cyclic Universes from General Collisionless Braneworld Models
• Proliferation in Cycle
• Identification of All Dark Matter as Black Holes
• Gravitational waves in a cyclic Universe: resilience through cycles and vacuum state
• Constraints on Deflation from the Equation of State of Dark Energy
• Looking for Intermediate-Mass Black Holes
• Unifying turnaround-bounce cosmology in a cyclic universe considering a running vacuum model