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

Biswas, Tirthabir and Koivisto, Tomi and Mazumdar, Anupam (2010) Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity. Journal of Cosmology and Astroparticle Physics, n/a (11). ISSN 1475-7516

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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.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Cosmology and Astroparticle Physics
Additional Information:
38 pages, 6 figures. V2: Added: a word to the title, clarifications, an appendix, many references. To appear in JCAP
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
ID Code:
55938
Deposited By:
Deposited On:
19 Jul 2012 15:39
Refereed?:
Yes
Published?:
Published
Last Modified:
18 Nov 2020 11:50