Skip to main content
SpringerLink
Log in

Holographic dark energy inflation model in modified f(R,G) gravitational framework

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

In the present analysis, we have constructed the Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological model of the universe by choosing the source as Holographic and Renyi holographic dark energy. The holographic and Renyi holographic dark energy fluids have shown their dominance towards Hubble’s and Granda-Oliveros cut-off in the context of modified gravity say f(R, G) gravity, where R be the Ricci scalar and G be the Gauss-Bonnet invariant. We investigate the properties of the resulting cosmological model using the relation between H and a as \(H=ba^{\eta }\) which omit the volumetric power law expansion of the form \(a=(\eta b t + b_{1})^{\frac{1}{\eta }}\), where \(\eta \ge 0\), \(b >0\) are constants, and \(b_{1}\) is an integrating constant. The scale factor that simulates the accelerating expansion with \(0 \le q \le -1\) equivalent to \(q=-0.45\). The physical parameters of the model such as energy density, equation of state parameter, squared velocity of sound with redshift are also derived and analyzed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

References

  1. S Perlmutter et al Astrophys. J. 517 565 (1999)

    ADS  Google Scholar 

  2. S Perlmutter et al Nature 391 51 (1998)

    ADS  Google Scholar 

  3. A G Riess et al Astron. Soc. Pac. 112 1284 (2000)

    ADS  Google Scholar 

  4. J L Torny et al Astrophys. J. 594 1 (2003)

    ADS  Google Scholar 

  5. P De Bernardis et al Nature 391 5 (1998)

    Google Scholar 

  6. D N Spergel et al Astrophys. J. Suppl. Ser. 148 175 (2003)

    ADS  Google Scholar 

  7. M Tegmark et al Phys. Rev. D 69 103501 (2004)

    ADS  Google Scholar 

  8. F Lobo Dark Energy Curr. Adv. Ideas 173 (2009)

  9. T Sotiriou and V Faraoni Rev. Mod. Phys. 82 451 (2010)

    ADS  Google Scholar 

  10. S Capozziello and V Faraoni 2011th edition springer fundamental theories of physics, vol. 170 (2010)

  11. V R Chirde and S H Shekh Bulg. J. Phys. 43 156 (2016)

    Google Scholar 

  12. A Azadi, D Momeni and M Nouri-Zonoz Phys. Lett. B 670 210 (2008)

    ADS  MathSciNet  Google Scholar 

  13. M Sharif and Z J Yousaf Cosmo. Astropart. Phys. 6 19 (2014)

    ADS  Google Scholar 

  14. J Evans, L Hall and P Caillol Phys. Rev. D 77 083514 (2008)

    ADS  Google Scholar 

  15. V Miranda, S Joras and I Waga Phys. Rev. Lett. 102 221101 (2009)

    ADS  Google Scholar 

  16. S Nojiri and S Odintsov Phys. Lett. B. 631 1 (2005)

    ADS  MathSciNet  Google Scholar 

  17. K Uddin, J Lidsey and R TavakolGen Relativ. Gravity 41 2725 (2009)

    ADS  Google Scholar 

  18. E Elizalde, R Myrzakulov, V Obukhov and D Saez-Gomez Class. Quantum Gravity 27 095007 (2010)

    ADS  Google Scholar 

  19. T Tangphati, A Pradhan, A Errehymy and A Banerjee Ann. Phys. 430 168498 (2021)

    Google Scholar 

  20. T Tangphati, A Pradhan, A Frrehymy and A Banerjee Phys. Lett. B 819 136423 (2021)

    Google Scholar 

  21. T Tangphati, A Pradhan, A Banerjee and G Panotopoulos Phys. Dark Univ. 33 100877 (2021)

    Google Scholar 

  22. S K Maurya, A Pradhan, F Tello-Ortiz, A Banerjee and R Nag Eur. Phys. J. C 81 848 (2021)

    ADS  Google Scholar 

  23. J M Z Pretel, A Banerjee and A Pradhan Eur. Phys. J. C 82 180 (2022)

    ADS  Google Scholar 

  24. G Panotopoulos, A Pradhan, T Tangphati and A Banerjee Chin. J. Phys. 77 2106 (2022)

    Google Scholar 

  25. S K Maurya, A Benerjee, A Pradhan and D Yadav Eur. Phys. J. C 82 552 (2022)

    ADS  Google Scholar 

  26. A Einstein and S Itzungsber Preuss. Akad. Wiss. Phys. Math. KI 217 (1928)

    Google Scholar 

  27. A Einstein Math. Ann. 102 685 (1930)

    MathSciNet  Google Scholar 

  28. P Wu and H Yu Phys. Lett. B 693 415 (2010)

    ADS  Google Scholar 

  29. X Ao, X Li and P Xi Phys. Lett. B 694 186 (2010)

    ADS  MathSciNet  Google Scholar 

  30. G Bengochea Phys. Lett. B 695 405 (2011)

    ADS  Google Scholar 

  31. M Setare and F Darabi Gen. Relativ. Gravity 44 2521 (2012)

    ADS  Google Scholar 

  32. B Li, T P Sotiriou and J D Barrow Phys. Rev. D 83 064035 (2011)

    ADS  Google Scholar 

  33. K Bamba, C Geng and L Luo J. Cosmol. Astropart. Phys. 1210 058 (2012)

    ADS  Google Scholar 

  34. C Geng, C Lee and E Saridakis J. Cosmol. Astropart. Phys. 1201 002 (2012)

    ADS  Google Scholar 

  35. C Xu, E Saridakis and G Leon J. Cosmol. Astropart. Phys. 1207 005 (2012)

    ADS  Google Scholar 

  36. C Geng, A Gu and C Lee Phys. Rev. D 88 024030 (2013)

    ADS  Google Scholar 

  37. Y Ong, K Izumi, J Nester and P Chen Phys. Rev. D 88 024019 (2013)

    ADS  Google Scholar 

  38. K Bamba, S Odintsov and D Saez-Gomez Phys. Rev. D 88 084042 (2013)

    ADS  Google Scholar 

  39. J de Haro and J Amoros Phys. Rev. Lett. 110 071104 (2013)

    ADS  Google Scholar 

  40. V R Chirde and S H Shekh J. Astrophys. Astr. 39 56 (2018)

    ADS  Google Scholar 

  41. V R Chirde and S H Shekh Indian J. Phys. 92 1485 (2018)

    ADS  Google Scholar 

  42. M Sharif and S Rani Phys. Scr. 84 055005 (2011)

    ADS  Google Scholar 

  43. C Bohmer, A Mussa and N Tamanini Class. Quantum Gravity 28 245020 (2011)

    ADS  Google Scholar 

  44. V R Chirde and S H Shekh Bulg. J. Phys. 41 258 (2014)

    Google Scholar 

  45. G Gamal and G Nashed Astrophys. Space Sci. 357 111 (2015)

    ADS  Google Scholar 

  46. S R Bhoyar, V R Chirde and S H Shekh Astrophysics 60 259 (2017)

    ADS  Google Scholar 

  47. S H Shekh and V R Chirde Gen. Relativ. Gravity 51 87 (2019)

    ADS  Google Scholar 

  48. S H Shekh and V R Chirde Astrophys. Space Sci. 365 60 (2020)

    ADS  Google Scholar 

  49. T Harko et al Phys. Rev. D 84 024020 (2011)

    ADS  Google Scholar 

  50. P Sahoo, B Mishra and G C Reddy Eur. Phys. J. Plus 129 49 (2014)

    Google Scholar 

  51. R Chaubey and A Shukla Astrophys. Space Sci. 343 415 (2013)

    ADS  Google Scholar 

  52. N Ahmed and A Pradhan Int. J. Theor. Phys. 53 289 (2014)

    Google Scholar 

  53. G Samanta Int. J. Theor. Phys. 52 2647 (2013)

    Google Scholar 

  54. V Chirde and S Shekh Astrophysics 58 121 (2015)

    Google Scholar 

  55. M Sharif and M Zubair J. Phys. Soc. Jpn. 82 064001 (2013)

    ADS  Google Scholar 

  56. V Chirde and S Shekh Bulg. J. Phys. 46 94 (2019)

    Google Scholar 

  57. A Pradhan, G K Goswami and A Beesham J. High Energy Astrophys. 38 12 (2023)

    ADS  Google Scholar 

  58. A Pradhan, G K Goswami, R Rani and A Beesham Astron. Comput. 44 100737 (2023)

    ADS  Google Scholar 

  59. V K Bhardwaj and A Pradhan New Astron. 91 101675 (2022)

    Google Scholar 

  60. J M Z Pretel, T Tangphati, A Banerjee and A Pradhan Chin. Phys. C 46 115103 (2022)

    ADS  Google Scholar 

  61. T Tangphati, G Panotopoulos, A Banerjee and A Pradhan Chin. J. Phys. 82 62 (2023)

    Google Scholar 

  62. V K Bhardwaj, A Pradhan, N Ahmed and A A Shaker Can. J. Phys. 100 475 (2022)

    ADS  Google Scholar 

  63. G Cognola et al Phys. Rev. D 73 084007 (2006)

    ADS  Google Scholar 

  64. S Nojiri, S D Odintsov and V K Oikonomou Phys. Rev. D 99 044050 (2019)

    ADS  MathSciNet  Google Scholar 

  65. D Alvaro, D de la Cruz-Lombriz and D S’aez-Gomez Class. Quantum Gravity 29 245014 (2012)

    ADS  Google Scholar 

  66. S Capozziello, M De Laurentis and S D Odintsov Mod. Phys. Lett. A 29 1450164 (2014)

    ADS  Google Scholar 

  67. S Santos da Costa et al Class. Quantum Gravity 35 075013 (2018)

    ADS  MathSciNet  Google Scholar 

  68. M Benetti et al Int. J. Mod. Phys. D 27 1850084 (2018)

    ADS  MathSciNet  Google Scholar 

  69. S V Lohakare, K Rathore and B Mishra arXiv:2303.14575 [gr-qc] (2023)

  70. S V Lohakare, B Mishra, S K Maurya and Ksh Newton Singh Phys. Dark Univ. 39 101164 (2023)

    Google Scholar 

  71. S V Lohakare, S K Tripathy and B Mishra Phys. Scr. 96 125039 (2021)

    ADS  Google Scholar 

  72. K Bamba, S D Odintsov, L Sebastiani and S Zerbini Eur. Phys. J. C 67 295 (2010)

    ADS  Google Scholar 

  73. S Capozziello et al Phys. Lett. B 781 099 (2018)

    ADS  MathSciNet  Google Scholar 

  74. P H R Moraes and P K Sahoo Eur. Phys. J. C 77 480 (2017)

    ADS  Google Scholar 

  75. M Sharif and I Fatima Astrophys. Space Sci. 353 259 (2014)

    ADS  Google Scholar 

  76. K Karami and A Abdolmaleki JCAP 04 007 (2012)

    ADS  Google Scholar 

  77. T Harko, S L Francisco, G Otalora and E N Saridaki JCAP 12 021 (2014)

    ADS  Google Scholar 

  78. K Ghaderi and B Malakolkalami Astrophys. Space Sci. 362 163 (2017)

    ADS  Google Scholar 

  79. M Tavayef et al Phys. Lett. B 781 195 (2018)

    ADS  Google Scholar 

  80. Y Aditya, S Mandal, P K Sahoo and D R K Reddy Eur. Phys. J. C 79 1020 (2019)

    ADS  Google Scholar 

  81. H Amirhashchi, A Pradhan and R Jaiswal Int. J. Theor. Phys. 52 2735 (2013)

    Google Scholar 

  82. P H R S Moraes and P K Sahoo Eur. Phys. J. C 77 480 (2017)

    ADS  Google Scholar 

  83. P K Sahoo, S Parbati and B K Bishi Int. J. Geom. Methods Mod. Phys. 14 1750097 (2017)

    MathSciNet  Google Scholar 

  84. S H Shekh, S Arora, V R Chirde and P K Sahoo Int. J. Geom. Methods Mod. Phys. 17 2050048 (2020)

    MathSciNet  Google Scholar 

  85. S H Shekh et al Commun. Theor. Phys. 72 085402 (2020)

    ADS  MathSciNet  Google Scholar 

  86. N M Garcia, T Harko, F S N Lobo and J Mimoso J. Phys. Conf. Ser. 314 012056 (2011)

    Google Scholar 

  87. R Myrzakulov, D Gomez and A Tureanu Gen. Relativ. Gravity 43 1671 (2011)

    ADS  Google Scholar 

  88. S D Odintsov, V K Oikonomoud and S Banerjee Nucl. Phys. B 938 935 (2019)

    ADS  Google Scholar 

  89. B J Barros, E M Teixeira and D Vernieri Ann. Phys. 419 168231 (2020)

    Google Scholar 

  90. M Farasat and S Zia Can. J. Phys. 98 849 (2020)

    Google Scholar 

  91. A K Sanyal and C Sarkar Class. Quantum Gravity 37 055010 (2020)

    ADS  Google Scholar 

  92. C Ainamon, M J S Houndjo, A A L Ayivi, M G Ganiou and A Kanfon J. Mod. Phys. 12 781 (2021)

  93. A Chanda, A Halder, A S Majumdar and B C Paul Eur. Phys. J. C 83 23 (2023)

    ADS  Google Scholar 

  94. M Z Bhatti, Z Yousaf and A Rehman Fortschr. der Phys. 71 2200113 (2023)

    Google Scholar 

  95. M D Laurentis, M Paolella and S Capozziello Phys. Rev. D 91 083531 (2015)

    ADS  MathSciNet  Google Scholar 

  96. K Atazadeh and F Darabi Gen. Relativ. Gravity 46 1664 (2014)

    ADS  Google Scholar 

  97. U Camci Symmetry 10 12 719 (2018)

    ADS  Google Scholar 

  98. M S Berman Nuovo Cimento B 74B 182 (1983)

    ADS  Google Scholar 

  99. M S Berman and F M Gomide Gen. Relativ. Gravity 20 191 (1988)

    ADS  Google Scholar 

  100. S H Shekh and K Ghaderi Phys. Dark Univ. 31 100785 (2021)

    Google Scholar 

  101. T Singh and G P Singh J. Math. Phys. 32 2456 (1991)

    ADS  MathSciNet  Google Scholar 

  102. T Singh and G P Singh Il. Nuovo Cimento B 106 617 (1991)

    ADS  Google Scholar 

  103. G P Singh and K Desikan Pramana J. Phys. 49 205 (1997)

    ADS  Google Scholar 

  104. A Pradhan and A K Vishwakarma J. Geom. Phys. 49 332 (2004)

    ADS  MathSciNet  Google Scholar 

  105. A G Cohen, D B Kaplan and A E Nelson Phys. Rev. Lett. 82 4971 (1999)

    ADS  MathSciNet  Google Scholar 

  106. S H Shekh, S D Katore, V R Chirde and S V Raut New Astron. 84 101535 (2021)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Marivan Branch, Islamic Azad University, Marivan, Iran

    K. Ghaderi

  2. Department of Mathematics, S. P. M. Science and Gilani Arts Commerce College, Ghatanji, Dist. Yavatmal, Maharashtra, 445301, India

    S. H. Shekh

  3. Department of Science and Engineering, Marivan Branch, Islamic Azad University, Marivan, Iran

    K. Karimizadeh

  4. Centre for Cosmology, Astrophysics and Space Science (CCASS), GLA University, Mathura, Uttar Pradesh, 281406, India

    Anirudh Pradhan

Authors
  1. K. Ghaderi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. H. Shekh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. Karimizadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Anirudh Pradhan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K. Ghaderi.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ghaderi, K., Shekh, S.H., Karimizadeh, K. et al. Holographic dark energy inflation model in modified f(R,G) gravitational framework. Indian J Phys 98, 2205–2216 (2024). https://doi.org/10.1007/s12648-023-02968-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-023-02968-6

Keywords

Search

Navigation