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Higher-dimensional Bianchi type-I dark energy models with barotropic fluid in Saez-Ballester scalar-tensor theory of gravitation

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Abstract

In this paper, we have explored the features of the five-dimensional Bianchi type-I cosmological universe filled with barotropic fluid and dark energy within the framework of Saez-Ballester theory of gravitation. Field equations have been solved by assuming the different functional forms of metric potentials, i.e., \( A=B=C=t^{n}\) and \(D=t^{n_{1}}\). The value of the equation of state parameter and other kinematical parameters have been obtained for both interacting and non-interacting scenarios. The characteristics of physicals parameters are also explained. The obtained results are compatible with the recent observational data.

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References

  1. A G Riess et al Astron. J. 116 1009 (1998)

    Article  ADS  Google Scholar 

  2. S Perlmutter et al Astrophys. J. 517 567 (1999)

    Article  ADS  Google Scholar 

  3. E J Copeland, M Sami and S Tsujikawa Int J. Mod. Phys. D 15 1753 (2006)

    Article  ADS  Google Scholar 

  4. R R Caldwell, R Dave and P J Steinhardt Phys. Rev. Lett. 80 1582 (1998)

    Article  ADS  Google Scholar 

  5. A R Liddle and R J Scherrer Phys. Rev. D 59 023509 (1999)

    Article  ADS  Google Scholar 

  6. P J Steinhardt, L Wang and I Zlater Phys. Rev. D 59 123504 (1998)

    Article  ADS  Google Scholar 

  7. R Caldwell arXiv preprint astro-ph/9908168 (2002)

  8. C Armendariz-Picon, V Mukhanov and P J Steinhardt Phys. Rev. Lett. 85 4438 (2000)

    Article  ADS  Google Scholar 

  9. C Armendariz-Picon, V Mukhanov and P J Steinhardt Phys. Rev. Lett. 63 103510 (2001)

    Google Scholar 

  10. A Sen J. High Energy Phys. 2002 065 (2002)

  11. B Feng, X L Wang and X M Zhang Phys. Lett. B 607 35 (2005)

    Article  ADS  Google Scholar 

  12. P J E Peebles and B Ratra Rev. Mod. Phys. 75 2 559 (2003)

    Article  ADS  Google Scholar 

  13. S Nojiri and S D Odintsov Phys. Rep. 505 59 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  14. K Bamba, S Capozziello, S Nojiri and S D Odintsov Astrophy. Spa. Sci. 342 155 (2012)

    Article  ADS  Google Scholar 

  15. C H Brans and R H Dicke Phys. Rev. 124 925 (1961)

    Article  MathSciNet  ADS  Google Scholar 

  16. K Nordtvedt Jr Astrophys. J. 161 1059 (1970)

    Article  MathSciNet  ADS  Google Scholar 

  17. G A Barber Gen. Relativ. Gravit. 14 117 (1982)

    Article  ADS  Google Scholar 

  18. D Saez and V J Ballester Phys. Lett. A. 113 467 (1986)

    Article  ADS  Google Scholar 

  19. V U M Rao, M V Santhi and T Vinutha Astrophys. Space Sci. 314 73 (2008)

    Article  ADS  Google Scholar 

  20. V U M Rao, G S D Kumari and K V S Sireesha Astrophys. Space Sci. 335 35 (2011)

    Article  Google Scholar 

  21. A Pradhan, A K Singh and H Amirhashchi Int. J. Theor. Phys. 51 3769 (2012)

    Article  Google Scholar 

  22. D R K Reddy, D Bharathi and G V V Lakshmi Astrophys. Space Sci. 351 307 (2014)

    Article  ADS  Google Scholar 

  23. R L Naidu, B Satyanarayana and D R K Reddy Int. J. of Theor. Phys. 51 2857 (2012)

    Article  Google Scholar 

  24. H R Ghate and A S Sontakke Int. J. Astron. Astrophys. 2014 (2014)

  25. T Vinutha, V U M Rao, B Getaneh and M Mengesha Astrophys. Space Sci. 363 1 (2018)

    Article  Google Scholar 

  26. A Pradhan and S K Singh Int. J. Mod. Phys. D 13 503 (2004)

    Article  ADS  Google Scholar 

  27. B Saha Chin. J. Phys. 43 arXiv preprint gr-qc/0412078 (2004)

  28. J P Singh and R K Tiwari Pramana 70 565 (2008)

    Article  ADS  Google Scholar 

  29. KS Adhav Int J. Astron. Astrophys. 1 204 (2011)

    Google Scholar 

  30. K L Mahanta and A K Biswal Rom. J. Phys. 58 239 (2013)

    Google Scholar 

  31. S D Katore and D V Kapse Adv. High Energy Phys. 2018 (2018)

  32. Y Aditya and D R K Reddy Astrophys. Space Sci. 363 1 (2018)

    Article  Google Scholar 

  33. R K Mishra and H Dua Astrophys. Space Sci. 366 1 (2021)

    Article  ADS  Google Scholar 

  34. T Kaluza Preuss. Akad. Wiss. Phys. Math. Klasse 966 1921 (1921)

    Google Scholar 

  35. O Klein Z. Phys. 37 895 (1926)

    Article  ADS  Google Scholar 

  36. A H Guth Phys. Rev. 23 347 (1981)

    ADS  Google Scholar 

  37. F Alvarez and M B Gavela Phys. Rev. Lett. 51 10 931 (1983)

    Article  ADS  Google Scholar 

  38. W J Marciano Phys. Rev. Lett. 52 489 (1984)

    Article  ADS  Google Scholar 

  39. A Chodos and S Detwelles Phys. Rev. D 21 2167 (1980)

    Article  ADS  Google Scholar 

  40. P G O Freund Nucl. Phys. B 209 146 (1982)

    Article  ADS  Google Scholar 

  41. T Dereli and R W Tucker Phys. Lett. B 125 133 (1983)

    Article  ADS  Google Scholar 

  42. O Akarsu, T Dereli and N Katirci arXiv preprint arXiv:2112.14259 (2021)

  43. E Witten Phys. Lett. B 144 351 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  44. T Appelquist Modern Kaluza-Klein Theories (Boston: Addison-Wesley) (1987)

    MATH  Google Scholar 

  45. S D Katore, K S Adhav, A Y Shaikh and N K Sarkate Int. J. Theor. Phys. 49 2358 (2010)

    Article  Google Scholar 

  46. D R K Reddy, B Satyanarayana and R L Naidu Astrophys. Space Sci. 339 401 (2012)

    Article  ADS  Google Scholar 

  47. D R K Reddy and G Ramesh Int. J. Cosmol. Astron. Astrophys. 1 67 (2019)

    Article  Google Scholar 

  48. W Zimdahl and D Pavón Gen. Relat. Gravit. 36 1483 (2004)

    Article  ADS  Google Scholar 

  49. J D Barrow and T Clifton Phys. Rev. D 73 103520 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  50. D R K Reddy and R S Kumar Int. J. of Theor. Phys. 52 1362 (2013)

    Article  Google Scholar 

  51. D R K Reddy, S Anitha and S Umadevi Astrophys. Space Sci. 350 799 (2014)

    Article  ADS  Google Scholar 

  52. T Singh and R Chaubey Res. Astron. Astrophys. 12 473 (2012)

    Article  ADS  Google Scholar 

  53. T Singh and R Chaubey Can. J. Phys. 91 180 (2013)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  55. V Tummala, V U M Rao, M V Santhi, Y Aditya and M M Nigus Prespac. J. 7 (2016)

  56. R K Tiwari, A Beesham and B K Shukla Int. J. Geom. Meth. Mod. Phys. 15 1850189 (2018)

    Article  Google Scholar 

  57. V U M Rao, M V Santhi, T Vinutha and Y Aditya Prespace. J. 7 (2016)

  58. G K Goswami, M Mishra, A K Yadav and A Pradhan Mod Phys. Lett. A 35 2050086 (2020)

    Article  ADS  Google Scholar 

  59. O AKarsu and C B Kilinc Gen. Relativ. Gravit. 42 119 (2010)

  60. O AKarsu and C B Kilinc Gen. Relativ. Gravit. 42 763 (2010)

  61. A K Bhabor, M K S Ranawat and G S Rathore JECET 4 572 (2015)

    Google Scholar 

  62. D Pavon and B Wang Gen. Relativ. Gravit. 41 1 (2009)

    Article  ADS  Google Scholar 

  63. L Amendola, G C Campos and R Rosenfeld Phys. Rev. D 75 083506 (2007)

    Article  ADS  Google Scholar 

  64. Z K Guo, N Ohta and S Tsujikawa Phys. Rev. D 76 023508 (2007)

    Article  ADS  Google Scholar 

  65. E Komatsu et al Astrophys. J. Suppl. Ser. 180 330 (2009)

    Article  ADS  Google Scholar 

  66. P A R Ade et al Astron. Astrphys. 594 A13 (2016)

    Article  Google Scholar 

  67. P Collaboration et al EDP Sci. 641 A6 (2020)

    Google Scholar 

  68. B Mishra, P K Sahoo and P P Ray Int. J. Geom. Methods Mod. Phys. 14 1750124 (2017)

    Article  MathSciNet  Google Scholar 

  69. B Mishra, P P Ray and R Myrzakulov Eur. Phys. J. C 79 1 (2019)

    Article  Google Scholar 

  70. G K Goswami, M Mishra, A K Yadav and A Pradhan Mod. Phys. Lett. A 35 2050086 (2020)

    Article  ADS  Google Scholar 

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Correspondence to Diksha Trivedi.

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Trivedi, D., Bhabor, A.K. Higher-dimensional Bianchi type-I dark energy models with barotropic fluid in Saez-Ballester scalar-tensor theory of gravitation. Indian J Phys 97, 1317–1327 (2023). https://doi.org/10.1007/s12648-022-02448-3

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