Skip to main content
Log in

On bouncing solutions in non-local gravity

  • Published:
Physics of Particles and Nuclei Aims and scope Submit manuscript

Abstract

A non-local modified gravity model with an analytical function of the d’Alembert operator, is considered. This model has been recently proposed as a possible way of resolving the singularities problem in cosmology. We present exact bouncing solution, which is simpler compared to the already known one in this model, in the sense it does not require an additional matter to satisfy all gravitational equations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. S. Stelle, “Renormalization of Higher Derivative Quantum Gravity,” Phys. Rev. D: Part. Fields 16, 953–969 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  2. I. Ya. Aref’eva, D. M. Belov, A. A. Giryavets, A. S. Koshelev, and P. B. Medvedev, “Noncommutative Field Theories and (Super)String Field Theories” (2001). arXiv:hep-th/0111208v2.

  3. S. Jhingan, S. Nojiri, S. D. Odintsov, M. Sami, I. Thongkool, and S. Zerbini, “Phantom and Non-Phantom Dark Energy: The Cosmological Relevance of Non-Locally Corrected Gravity,” Phys. Lett. B 663 424–428 (2008). arXiv:0803.2613; T. S. Koivisto, “Dynamics of Nonlocal Cosmology,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 77, 123513 (2008). arXiv:0803.3399; S. Capozziello, E. Elizalde, S. Nojiri, and S. D. Odintsov, “Accelerating Cosmologies from Non-Local Higher-Derivative Gravity,” Phys. Lett. B 671, 193–198 (2009). arXiv:0809.1535; G. Calcagni and G. Nardelli, “Nonlocal Gravity and the Diffusion Equation,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 82, 123518 (2010). arXiv:1004.5144; L. Modesto, “Super-Renormalizable Quantum Gravity,” (2011). arXiv:1107.2403

    Article  ADS  Google Scholar 

  4. N. Barnaby, T. Biswas, and J. M. Cline, “P-Acidic Inflation,” J. High Energy Phys. 0704, 056 (2007). arXiv:hep-th/0612230; A. S. Koshelev, “Non-Local SFT Tachyon and Cosmology,” J. High Energy Phys. 0704, 029 (2007). arXiv:hep-th/0701103; I. Ya. Aref’eva, L. V. Joukovskaya, and S. Yu. Vernov, “Bouncing and Accelerating Solutions in Nonlocal Stringy Models,” J. High Energy Phys. 0707, 087 (2007). arXiv:hep-th/0701184; D. J. Mulryne and N. J. Nunes, “Diffusing Non-Local Inflation: Solving the Field Equations as an Initial Value Problem,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 78, 063519 (2008). arXiv:0805.0449; I. Ya. Aref’eva and A. S. Koshelev, “Cosmological Signature of Tachyon Condensation,” J. High Energy Phys. 0809, 068 (2008). arXiv:0804.3570; A. S. Koshelev and S. Yu. Vernov, “Analysis of Scalar Perturbations in Cosmological Models with a Non-Local Scalar Field,” Classical Quantum Gravity 28, 085019 (2011). arXiv:1009.0746; A. S. Koshelev, “Modified Non-Local Gravity” (2012). arXiv:1112.6410v2

    Article  MathSciNet  ADS  Google Scholar 

  5. T. Biswas, A. Mazumdar, and W. Siegel, “Bouncing Universes in String-Inspired Gravity,” J. Cosmol. Astropart. Phys. 0603, 009 (2006). arXiv:hepth/0508194

    Article  MathSciNet  ADS  Google Scholar 

  6. T. Biswas, T. Koivisto, and A. Mazumdar, “Towards a Resolution of the Cosmological Singularity in Non-Local Higher Derivative Theories of Gravity,” J. Cosmol. Astropart. Phys. 1011, 008 (2010). arXiv:1005.0590

    Article  ADS  Google Scholar 

  7. I. Ya. Aref’eva, L. V. Joukovskaya, and S. Yu. Vernov, “Dynamics in Nonlocal Linear Models in the Friedmann-Robertson-Walker Metric,” J. Phys. A: Math. Theor. 41, 304003 (2008). arXiv:0711.1364; S. Yu. Vernov, “Localization of the SFT Inspired Nonlocal Linear Models and Exact Solutions,” Phys. Part. Nucl. Lett. 8, 310–320 (2011). arXiv:1005.0372

    Article  MathSciNet  Google Scholar 

  8. Sh. Nojiri and S. D. Odintsov, “Modified Non-Local-F(R) Gravity as the Key for the Inflation and Dark Energy,” Phys. Lett. B 659, 821 (2008). arXiv:0708.0924; Y. L. Zhang and M. Sasaki, “Screening of Cosmological Constant in Non-Local Cosmology,” Int. J. Mod. Phys. D 21, 1250006 (2012). arXiv:1108.2112; E. Elizalde, E. O. Pozdeeva, and S. Yu. Vernov, “De Sitter Universe in Non-Local Gravity,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. (2012). arXiv:1110.5806; S. Yu. Vernov, “Nonlocal Gravitational Models and Exact Solutions,” Physics of Particles and Nuclei, 43, No. 5, pp. 694–696 (2012), arXiv:1202.1172

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. T. Biswas, E. Gerwick, T. Koivisto, and A. Mazumdar, “Towards Singularity and Ghost Free Theories of Gravity,” Phys. Rev. Lett. 108, 031101 (2012). arXiv:1110.5249

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. S. Koshelev.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Koshelev, A.S., Vernov, S.Y. On bouncing solutions in non-local gravity. Phys. Part. Nuclei 43, 666–668 (2012). https://doi.org/10.1134/S106377961205019X

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S106377961205019X

Keywords

Navigation