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Qualitative study of anisotropic Rastall cosmologies

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Abstract

We perform dynamical analysis of anisotropic Rastall cosmologies and, in particular Kantowski–Sachs, locally rotationally symmetric (LRS) Bianchi I and LRS Bianchi III cosmologies. Using dynamical system techniques, a qualitative analysis of cosmological equations yield physically interesting cases which are in agreement with observations such as de Sitter, accelerating, stable attractors are isotropic. Features such as isotropization and cosmological bounce are discussed in detail.

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References

  1. P Rastall Phys. Rev. D 6 3357 (1972)

    Article  ADS  Google Scholar 

  2. G W Gibbons and S W Hawking Phys. Rev. D 15 2738 (1977)

    Article  ADS  Google Scholar 

  3. N D Birrell and P C W Davies Quantum fields in curved space (Cambridge: Cambridge University Press) (1982)

    Book  MATH  Google Scholar 

  4. L H Ford Phys. Rev. D 35 2955 (1987)

    Article  ADS  Google Scholar 

  5. C E M Batista, M H Daouda, J C Fabris, O F Piattella and D C Rodrigues Phys. Rev. D 85 084008 (2012)

  6. W A G De Moraes and A F Santos Gen. Relativ. Grav. 51 167 (2019)

  7. H Shabani and A H Ziaie EPL 129 20004 (2020)

  8. W Khyllep and J Dutta Phys. Lett. B 797 134796 (2019)

    Article  Google Scholar 

  9. F Darabi, H Moradpour, I Licata, Y Heydarzade and C Corda Eur. Phys. J. C 78 25 (2018)

  10. M Visser Phys. Lett. B 782 83 (2018)

  11. M Capone et al J. Phys.: Conf. Ser. 222 012012 (2010)

  12. J C Fabris, M H Daouda and O F Piattella Phys. Lett. B 711 232 (2012)

    Article  ADS  Google Scholar 

  13. H Moradpour, Y Heydarzade, F Darabi and I G Salako Eur. Phys. J. C 77 259 (2017)

  14. F -F Yuan and P Huang Class. Quantum Grav.34 077001 (2017)

  15. A Singh and K C Mishra Eur. Phys. J. Plus 135 752 (2020)

    Article  ADS  Google Scholar 

  16. G F Silva, O F Piattella, J C Fabris, L Casarini and T O Barbosa Gravit. Cosmol. 19 156 (2013)

    Article  ADS  Google Scholar 

  17. A H Ziaie, H Moradpour and H Shabani Eur. Phys. J. Plus 135 916 (2020)

  18. C E M Batista, J C Fabris O F Piattella and A M Velasquez-Toribio Eur. Phys. J. C 73 2425 (2013)

  19. R Li, J Wang, Z Xu and X Guo Mon. Not. Royal Astron. Soc. 486 2407 (2019)

    Article  ADS  Google Scholar 

  20. O Akarsu, N Katırcı, S Kumar, R C Nunes, B Ozturk and S Sharma Eur. Phys. J. C 80 1050 (2020)

  21. J Llibre and C Pantazi Class. Quantum Grav. 37 245010 (2020)

    Article  ADS  Google Scholar 

  22. A Singh, R Raushan and R Chaubey Can. J. Phys. 99 1073 (2021)

  23. A Singh, G P Singh and A Pradhan Int. J. Mod. Phys. A. https://doi.org/10.1142/S0217751X22501044 (2022), arXiv:2205.13934v1 [gr-qc]

  24. G Montani and M Venanzi Eur. Phys. J. C 77 486 (2017)

    Article  ADS  Google Scholar 

  25. C R Fadragas, G Leon and E N Saridakis Class Quantum Grav. 31 075018 (2014)

  26. L Parisi, N Radicella and G Vilasi Phys Rev. D 91 063533 (2015)

  27. A A Coley Dynamical Systems and Cosmology (Dordrecht: Springer) (2003)

    Book  Google Scholar 

  28. G F R Ellis and J Wainwright Dynamical systems in cosmology (Cambridge: Cambridge University Press) (2005)

    Google Scholar 

  29. P A R Ade et al A &A 571 A16 (2014)

    Google Scholar 

  30. E J Copeland, A R Liddle and D Wands Phys. Rev. D 57 4686 (1998)

  31. M Goliath and G F R Ellis Phys. Rev. D 60 023502 (1999)

    Article  ADS  Google Scholar 

  32. S Carloni, P K S Dunsby, S Capozziello and A Troisi Class. Quantum Grav. 22 4839 (2005)

  33. D Solomons, P K S Dunsby and G F R Ellis Class. Quantum Grav. 23 6585 (2006)

    Article  Google Scholar 

  34. J D Barrow and D Sloan Phys. Rev. D 88 023518 (2013)

    Article  ADS  Google Scholar 

  35. J De-Santiago, J L Cervantes-Cota and D Wands Phys. Rev. D 87 023502 (2013)

  36. R Chaubey and R Raushan Int. J. Geom. Methods Mod. Phys. 13 1650123 (2016)

    Article  Google Scholar 

  37. M Gosenca and P Coles arXiv:1502.04020v2 [gr-qc] (2016)

  38. L N Granda and D F Jimenez Eur. Phys. J. C 77 679 (2017)

    Article  Google Scholar 

  39. A Singh, R Raushan, R Chaubey and T Singh Int. J. Mod. Phys. A 33 1850213 (2018)

  40. T Bandyopadhyay and U Debnath Can. J. Phys. 97 286 (2019)

    Article  ADS  Google Scholar 

  41. S Mishra and S Chakraborty Ann. Phys. 406 207 (2019)

    Article  ADS  Google Scholar 

  42. M A Skugoreva and A V Toporensky Eur. Phys. J. C 80 1054 (2020)

    Article  ADS  Google Scholar 

  43. R Raushan, A Singh, R Chaubey and T Singh Int. J. Geom. Methods Mod. Phys. 17 2050064 (2020)

  44. S Bahamonde, C G Bohmer, S Carloni, E J Copeland, W Fang and N Tamanini Phys Rep. 775–777 1 (2018)

  45. G P Singh, N Hulke and A Singh Indian J. Phys. 94 127 (2020)

  46. G P Singh, N Hulke and A Singh Int. J. Geom. Methods Mod. Phys. 15 1850129 (2018)

  47. A Singh Astrophys. Space Sci. 365 54 (2020)

  48. A Singh Eur. Phys. J. Plus 136 522 (2021)

  49. A Singh and R Chaubey Astrophys. Space Sci. 366 15 (2021)

    Article  ADS  Google Scholar 

  50. N Aghanim et al A &A 641 A6 (2020)

    Google Scholar 

  51. A H Ziaie, H Moradpour and S Ghaffari Phys. Lett. B 793 276 (2019)

  52. T Singh, R Chaubey and A Singh Int. J. Mod. Phys. A 30 1550073 (2015)

  53. T Singh, R Chaubey and A Singh Can. J. Phys. 93 1319 (2015)

  54. T Singh, R Chaubey and A Singh Gravit. Cosmol. 23 195 (2017)

  55. C B Collins and S W Hawking Astrophys. J. 180 317 (1973)

    Article  ADS  Google Scholar 

  56. S Byland and D Scialom Phys. Rev. D 57 6065 (1998)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

A. Pradhan also thanks the IUCAA, Pune, India, for providing facility and support under visiting associateship program.

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Authors and Affiliations

  1. Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, 482011, India

    A. Singh

  2. Centre for Cosmology, Astrophysics and Space Science, GLA University, Mathura, 281406, India

    A. Pradhan

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  1. A. Singh
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  2. A. Pradhan
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Correspondence to A. Singh.

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Singh, A., Pradhan, A. Qualitative study of anisotropic Rastall cosmologies. Indian J Phys 97, 631–641 (2023). https://doi.org/10.1007/s12648-022-02406-z

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  • DOI: https://doi.org/10.1007/s12648-022-02406-z

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