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Spherically symmetric viscous cosmology in Brans–Dicke theory

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Abstract

In the present paper, we investigated spherically symmetric space–time for bulk viscosity in the context of Brans–Dicke theory (BBT) of gravitation. It is observed that the Universe is accelerating for small values of expansion scalar and decelerating for large values of expansion scalar. The coefficient of bulk viscosity is negative, the wormhole is compact in Case I whereas in Case II, it is proportional to energy density and positive and the wormhole is non-compact. The required conditions for the wormhole are satisfied.

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References

  1. C  Mathiazhagan and V B  Johri, Class. Quant. Gravit. 1, L29 (1984)

    Article  ADS  Google Scholar 

  2. D  La  and P J  Steinhardt, Phys. Rev. Lett. 62,  376 (1989)

    Article  ADS  Google Scholar 

  3. G P  Singh and A  Beesham,  Aust. J. Phys. 52, 6 (1999)

    Article  Google Scholar 

  4. D R K  Reddy ,R  L Naidu, S  Atchuta Rao and K  N  Devi, Astrophys. Space Sci. 310, 177 (2007)

  5. F S N Lobo and M A Oliveira, arXiv:1001.0995v2 (2010)

  6. S D Katore, M M Sancheti, S P Hatkar and N K Sarkate, Commun. Theor. Phys.  62, 768 (2014)

    Article  Google Scholar 

  7. A Arozi and C Simeone, Eur. J. Phys. Plus 126, 11 (2011)

    Article  Google Scholar 

  8. G P Singh and A Y Kale, Eur. Phys. J. Plus 126, 83 (2011)

    Article  Google Scholar 

  9. C W Misner, Astrophys. J. 151, 431 (1968)

    Article  ADS  Google Scholar 

  10. Ø Grøn, Astrophys. Space Sci. 173, 191 (1990)

  11. V A Belinski and I M Khalatnikov, Sov. Phys. JETP 42, 205 (1976)

    ADS  Google Scholar 

  12. G Mohanty and G C Samanta, Int. J. Theor. Phys. 48, 231 (2009)

    Article  Google Scholar 

  13. M  Jamil, arXiv:0806.1319v4 (2008)

  14. C  P Singh,   Pramana – J. Phys. 71, 33 (2008)

    Article  ADS  Google Scholar 

  15. S Chandel ,M K Singh and S  Ram,  Adv. Stud. Theor. Phys. 6, 1189 (2012)

    Google Scholar 

  16. M  K Verma and S Ram, Astrophys. Space Sci. 320, 299 (2010)

    Article  ADS  Google Scholar 

  17. C W Misner,  Nature 214, 40 (1967)

    Article  ADS  Google Scholar 

  18. S D Katore,S P Hatkar and S V Gore, Int. J. Geo. Meth. Mod. Phys. 15, 1850116  (2018)

    Article  Google Scholar 

  19. D R K Reddy,  J. Math. Phys. 20, 23 (1979)

    Article  ADS  Google Scholar 

  20. A Banerjee and  N O  Santos,  J. Math. Phys. 22, 5 (1981)

    Google Scholar 

  21. A B Nielsen, J. Phys. Conf. Ser. 314, 012094 (2011)

    Article  Google Scholar 

  22. A Bhadra and K Sarkar, Gen. Relativ. Gravit. 37, 2189 (2005)

    Article  ADS  Google Scholar 

  23. S Sen and A A  Sen, Phys. Rev. D 63, 107501 (2001)

    Article  ADS  Google Scholar 

  24. C H Brans,  Phys. Rev. 125, 2194 (1962)

    Article  ADS  MathSciNet  Google Scholar 

  25. P Yadav, S A Faruqui  and A Pradhan,  ARPN J. Sci. Technol. 3, 7 (2013)

    Google Scholar 

  26. J Hajj-Boutros, Int. J. Theor. Phys. 28, 487 (1989)

    Article  MathSciNet  Google Scholar 

  27. S Ram and P Sing, Astrophys. Space Sci. 201, 29 (1993)

    Article  ADS  Google Scholar 

  28. S D Katore, M M Sancheti and S P Hatkar, Pramana – J. Phys. 83, 619 (2014)

    Article  ADS  Google Scholar 

  29. S N Pandey and B K Sinha, arXiv:0911.0512v1 (2009)

  30. D R K Reddy and R Venkateswarlu, Astrophys. Space Sci. 136, 191 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  31. A Coley and K Dunn, Astrophys. J. 348, 26 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  32. D R K Reddy, M B Avadhanulu and R Venkateswarlu, Astrophys. Space Sci. 134, 201 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  33. G P Singh and A Beesham, Aust. J. Phys. 52 (1999)

  34. V Sahni, T D  Saini, A A  Starobinsky and U  Alam,   JETP Lett. 77, 201 (2003)

    Article  ADS  Google Scholar 

  35. P K F Kuhfitting, Pramana – J. Phys. 92, 75 (2019)

    Article  ADS  Google Scholar 

  36. F Rahaman, S  Ray  and S  Islam, Astrophys. Space Sci. 346, 245 (2013)

    Article  ADS  Google Scholar 

  37. L D Landau  and E M  Lifshitz, Fluid mechanics, Course of theoretical physics (Pergamon, Oxford, 1959)

    Google Scholar 

  38. M Morris  and K S Thorne,  Am. J. Phys.  56, 395 (1988)

    Article  ADS  Google Scholar 

  39. I Brevik  and O  Gron, Astrophys. Space Sci. 347, 399 (2013)

    Article  ADS  Google Scholar 

  40. S Bhattacharya  and S Shankaranarayanan,  Phys. Rev. D 93, 064030 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  41. F S N Lobo, Phys. Rev. D 71, 124022 (2005)

    Article  ADS  Google Scholar 

  42. B B Bhowmik, Ind. J. Pure Appl. Math.  31, 903 (2000)

    Google Scholar 

  43. F Rahaman, S  Banerjeey and S  Islam,  Phys. Astron. Int. J.  3, 14 (2019)

    Article  Google Scholar 

  44. K A Bronnikov  and A A Starobinsky, JETP  85, 1 (2007)

    Google Scholar 

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Acknowledgements

The authors are grateful to the anonymous referee for their valuable comments and suggestions to improve the manuscript.

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Correspondence to S P Hatkar.

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Hatkar, S.P., Karhale, G.D. & Katore, S.D. Spherically symmetric viscous cosmology in Brans–Dicke theory. Pramana - J Phys 97, 35 (2023). https://doi.org/10.1007/s12043-022-02495-9

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  • DOI: https://doi.org/10.1007/s12043-022-02495-9

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