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Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity

Research output: Contribution to journalJournal article

Published

Article number008
Journal publication date11/2010
JournalJournal of Cosmology and Astroparticle Physics
Journal number11
Volumen/a
Number of pages35
Original languageEnglish

Abstract

One of the greatest problems of standard cosmology is the Big Bang singularity. Previously it has been shown that non-local ghostfree higher-derivative modifications of Einstein gravity in the ultra-violet regime can admit non-singular bouncing solutions. In this paper we study in more details the dynamical properties of the equations of motion for these theories of gravity in presence of positive and negative cosmological constants and radiation. We find stable inflationary attractor solutions in the presence of a positive cosmological constant which renders inflation {\it geodesically complete}, while in the presence of a negative cosmological constant a cyclic universe emerges. We also provide an algorithm for tracking the super-Hubble perturbations during the bounce and show that the bouncing solutions are free from any perturbative instability.

Bibliographic note

38 pages, 6 figures. V2: Added: a word to the title, clarifications, an appendix, many references. To appear in JCAP