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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity. / Biswas, Tirthabir; Koivisto, Tomi; Mazumdar, Anupam.
In: Journal of Cosmology and Astroparticle Physics, Vol. n/a, No. 11, 008, 11.2010.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Biswas, T, Koivisto, T & Mazumdar, A 2010, 'Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity', Journal of Cosmology and Astroparticle Physics, vol. n/a, no. 11, 008. https://doi.org/10.1088/1475-7516/2010/11/008

APA

Biswas, T., Koivisto, T., & Mazumdar, A. (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), Article 008. https://doi.org/10.1088/1475-7516/2010/11/008

Vancouver

Biswas T, Koivisto T, Mazumdar A. Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity. Journal of Cosmology and Astroparticle Physics. 2010 Nov;n/a(11):008. doi: 10.1088/1475-7516/2010/11/008

Author

Biswas, Tirthabir ; Koivisto, Tomi ; Mazumdar, Anupam. / Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity. In: Journal of Cosmology and Astroparticle Physics. 2010 ; Vol. n/a, No. 11.

Bibtex

@article{7f817607b7d0472d8093f6facbdeeafd,
title = "Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity",
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.",
keywords = "cosmic singularity, modified gravity , quantum gravity phenomenology , alternatives to inflation",
author = "Tirthabir Biswas and Tomi Koivisto and Anupam Mazumdar",
note = "38 pages, 6 figures. V2: Added: a word to the title, clarifications, an appendix, many references. To appear in JCAP",
year = "2010",
month = nov,
doi = "10.1088/1475-7516/2010/11/008",
language = "English",
volume = "n/a",
journal = "Journal of Cosmology and Astroparticle Physics",
issn = "1475-7516",
publisher = "IOP Publishing",
number = "11",

}

RIS

TY - JOUR

T1 - Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity

AU - Biswas, Tirthabir

AU - Koivisto, Tomi

AU - Mazumdar, Anupam

N1 - 38 pages, 6 figures. V2: Added: a word to the title, clarifications, an appendix, many references. To appear in JCAP

PY - 2010/11

Y1 - 2010/11

N2 - 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.

AB - 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.

KW - cosmic singularity

KW - modified gravity

KW - quantum gravity phenomenology

KW - alternatives to inflation

UR - http://www.scopus.com/inward/record.url?scp=78649844962&partnerID=8YFLogxK

U2 - 10.1088/1475-7516/2010/11/008

DO - 10.1088/1475-7516/2010/11/008

M3 - Journal article

VL - n/a

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

SN - 1475-7516

IS - 11

M1 - 008

ER -