FRW Universe in R2 Gravity

Open Access

Year : 2023 | Volume :11 | Special Issue : 07 | Page : 75-80
By

Lokesh Kumar Sharma

  1. Assistant Professor Department of Physics, GLA University Uttar Pradesh India

Abstract

We investigate a model of the Friedmann Robertson Walker metric (FRW) universe governed by hybrid expansion law (HEL) a = tα eβt in R2 gravity. By Applying, energy and stability conditions in derived model, we check its physical viability. This model is based on f (R, T) = f (R) + f (T); f (R) = R + αR2 and f (T) = T and we have assumed T = 3p > 0. It is important to note that our model gives the current universe observable properties, including acceleration, without introducing dark energy or the cosmological constant. The following are some key features of the resulting model: Throughout the expansion of the cosmos, the jerk parameter has a positive sign, but the deceleration parameter has a negative sign. The current universe’s late-time acceleration is confirmed by this. Finally, we may say that f (R, T) gravity can give a considerable amount of information. There is no need for dark energy or the cosmological constant in a cosmic scenario with late time acceleration. As a consequence, one may argue that f (R) = R + αR2 is a dark energy model alternative that must be considered when defining the universe. We also discuss the jerk, lerk and snap parameters.

Keywords: R2 gravity, accelerating universe,

[This article belongs to Special Issue under section in Journal of Polymer and Composites(jopc)]

How to cite this article: Lokesh Kumar Sharma. FRW Universe in R2 Gravity. Journal of Polymer and Composites. 2023; 11(07):75-80.
How to cite this URL: Lokesh Kumar Sharma. FRW Universe in R2 Gravity. Journal of Polymer and Composites. 2023; 11(07):75-80. Available from: https://journals.stmjournals.com/jopc/article=2023/view=129359

Full Text PDF Download

Browse Figures

References

  1. Nakamura et al. Particle Data Group. J. Phys. G 2010;37, p 075021.
  2. Starobinsky, Alexei A. “Disappearing cosmological constant in f (R) gravity.” JETP letters 86 (2007): 157–163.
  3. Hu, Wayne, and Ignacy Sawicki. “Models of f (R) cosmic acceleration that evade solar system tests.” Physical Review D6 (2007): 064004.
  4. Appleby, Stephen A., and Richard A. Battye. “Do consistent F (R) models mimic general relativity plus Λ?.” Physics Letters B1-2 (2007): 7–12.
  5. Dolgov, Alexander D., and Masahiro Kawasaki. “Can modified gravity explain accelerated cosmic expansion?” Physics Letters B 573 (2003): 1–4.
  6. Appleby, Stephen A., and Richard A. Battye. “Aspects of cosmological expansion in F (R) gravity models.” Journal of Cosmology and Astroparticle Physics05 (2008): 019.
  7. Frolov, Andrei V. “Singularity problem with f (R) models for dark energy.” Physical review letters6 (2008): 061103.
  8. Arbuzova, E. V., and A. D. Dolgov. “Explosive phenomena in modified gravity.” Physics Letters B5 (2011): 289–293.
  9. Nojiri, Shin’ichi, and Sergei D. Odintsov. “Future evolution and finite-time singularities in F (R) gravity unifying inflation and cosmic acceleration.” Physical Review D4 (2008): 046006.
  10. Appleby, Stephen A., Richard A. Battye, and Alexei A. Starobinsky. “Curing singularities in cosmological evolution of F (R) gravity.” Journal of Cosmology and Astroparticle Physics06 (2010): 005.
  11. Nojiri, Shin’ichi, and Sergei D. Odintsov. “Unified cosmic history in modified gravity: from F (R) theory to Lorentz non-invariant models.” Physics Reports2-4 (2011): 59–144.
  12. Clifton, Timothy, et al. “Modified gravity and cosmology.” Physics reports1-3 (2012): 1-189.
  13. Gurovich, V. T. S., and A. A. Starobinskii. “Quantum effects and regular cosmological models.” Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki 77 (1979): 1683–1700.
  14. Starobinsky, Alexei A. “A new type of isotropic cosmological models without singularity.” Physics Letters B1 (1980): 99–102.
  15. Vilenkin, Alexander. “Classical and quantum cosmology of the Starobinsky inflationary model.” Physical Review D10 (1985): 2511.
  16. Mijić, Milan B., Michael S. Morris, and Wai-Mo Suen. “The R 2 cosmology: inflation without a phase transition.” Physical Review D10 (1986): 2934.
  17. Suen, Wai-Mo, and Paul R. Anderson. “Reheating in the higher-derivative inflationary models.” Physical Review D10 (1987): 2940.
  18. Carloni, S., P. K. S. Dunsby, and A. Troisi. “Cosmological dynamics of fourth order gravity.” arXiv preprint arXiv:0906.1998 (2009).
  19. Davidson, Aharon. “Rippled cosmological dark matter from a damped oscillating Newton constant.” Classical and Quantum Gravity6 (2005): 1119.
  20. Starobinsky, Alexei A. “A new type of isotropic cosmological models without singularity.” Physics Letters B1 (1980): 99–102.
  21. Cooney, Alan, Simon DeDeo, and Dimitrios Psaltis. “Neutron stars in f (R) gravity with perturbative constraints.” Physical Review D6 (2010): 064033.
  22. Arapoğlu, Savaş, Cemsinan Deliduman, and K. Yavuz Ekşi. “Constraints on perturbative f (R) gravity via neutron stars.” Journal of Cosmology and Astroparticle Physics07 (2011): 020.
  23. Orellana, Mariana, et al. “Structure of neutron stars in-squared gravity.” General Relativity and Gravitation4 (2013): 771–783.
  24. Astashenok, Artyom V., Salvatore Capozziello, and Sergei D. Odintsov. “Further stable neutron star models from f (R) gravity.” Journal of Cosmology and Astroparticle Physics12 (2013): 040.
  25. Alavirad, Hamzeh, and Joel M. Weller. “Modified gravity with logarithmic curvature corrections and the structure of relativistic stars.” Physical Review D12 (2013): 124034.
  26. Astashenok, Artyom V., Salvatore Capozziello, and Sergei D. Odintsov. “Extreme neutron stars from Extended Theories of Gravity.” Journal of Cosmology and Astroparticle Physics01 (2015): 001.
  27. Yazadjiev, Stoytcho S., et al. “Non-perturbative and self-consistent models of neutron stars in R-squared gravity.” Journal of Cosmology and Astroparticle Physics06 (2014): 003.
  28. Ganguly, Apratim, et al. “Neutron stars in the Starobinsky model.” Physical Review D6 (2014): 064019.
  29. Astashenok, Artyom V., Salvatore Capozziello, and Sergei D. Odintsov. “Nonperturbative models of quark stars in f (R) gravity.” Physics Letters B 742 (2015): 160–166.
  30. Astashenok, Artyom V., Sergei D. Odintsov, and Alvaro De la Cruz-Dombriz. “The realistic models of relativistic stars in f (R)= R+ αR2 gravity.” Classical and Quantum Gravity20 (2017): 205008.
  31. Sbisà, Fulvio, et al. “Neutron star masses in R2-gravity.” Physics of the Dark Universe 27 (2020): 100411.
  32. Sbisà, Fulvio, Oliver F. Piattella, and Sergio E. Jorás. “Pressure effects in the weak-field limit of f (R)= R+ α R 2 gravity.” Physical Review D10 (2019): 104046.
  33. Glendenning, Norman K. Compact stars: Nuclear physics, particle physics and general relativity. Springer Science & Business Media, 2012.
  34. Sotiriou, Thomas P., and Valerio Faraoni. “f (R) theories of gravity.” Reviews of Modern Physics1 (2010): 451.
  35. De Felice, Antonio, and Shinji Tsujikawa. “f (R) theories.” Living Reviews in Relativity1 (2010): 1–161.
  36. Nojiri, Shin’ichi, and Sergei D. Odintsov. “Unified cosmic history in modified gravity: from F (R) theory to Lorentz non-invariant models.” Physics Reports2-4 (2011): 59–144.
  37. Nojiri, Sh, S. D. Odintsov, and VK3683913 Oikonomou. “Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution.” Physics Reports 692 (2017): 1–104.
  38. Sotiriou, Thomas P., and Valerio Faraoni. “f (R) theories of gravity.” Reviews of Modern Physics1 (2010): 451.
  39. De Felice, Antonio, and Shinji Tsujikawa. “f (R) theories.” Living Reviews in Relativity1 (2010): 1–161.
  40. Visser, Matt. “Cosmography: Cosmology without the Einstein equations.” General Relativity and Gravitation 37 (2005): 1541–1548.
  41. Visser, Matt. “Jerk, snap and the cosmological equation of state.” Classical and Quantum Gravity11 (2004): 2603.
  42. Nagpal, Ritika, et al. “Cosmological aspects of a hyperbolic solution in f (R, T) gravity.” Annals of Physics 405 (2019): 234–255.
Special Issue Open Access Review Article
Volume 11
Special Issue 07
Received July 12, 2023
Accepted October 19, 2023
Published December 11, 2023
Views: 94