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Open Access Article

Bianchi Type-I Bulk Viscous String Model in f(R) Gravity

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pp. 23–38Vol. 17Issue 1January 2019DOI: 10.1080/1726037X.2019.1611729XML
Received:
11 Feb 2018
Accepted:
24 Mar 2018
Published Online:
16 May 2019
Article type:
Article
Language:
EN
Article no.:
1726037X.2019.1611729
Pages:
23–38

Abstract

Field equations of undefined theory of gravity are obtained with the aid of locally rotationally symmetric (LRS) Bianchi type-I metric when the matter source is a bulk viscous fluid containing one dimensional cosmic strings. Applying some physically possible conditions, we have obtained a determinate solution of the field equations. The deceleration parameter of our model exhibits a smooth transition from early decelerated phase to late time accelerating phase. We also find that the realistic energy conditions p ≥ 0 and pp ≤ 0 are satisfied in our model. Some other properties of the model are also discussed.

References

  1. M.J.Amir, S.Sattar, Locally Rotationally Symmetric Vacuum Solutions in f(R) Gravity , it Int J Theor Phys , , ( 2014 ), 773 – 787 .
  2. R.Bali, A.Pradhan, Bianchi type-III string cosmological model with time dependent bulk viscosity , . , ( 2007 ), 585 .
  3. K.Bamba, , Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests , . , ( 2012 ), 155 - 228 .
  4. I.Brevik, O.Gorbunova, Y.A.Shaido, Viscous FRW Cosmology in Modified Gravity , , , ( 2005 ), 1899 - 1906 .
  5. S.Capozziello, M.Laurentis, Extended Theories of Gravity , . , ( 2011 ), 167 - 231 .
  6. S.Capozziello, , Quintessence without scalar fields , . , , ( 2003 ), 625 .
  7. T.Chiba, , Solar System constraints to general f(R) gravity , , , ( 2007 ) 124014 .
  8. C.B.Collins, , Exact spatially homogeneous cosmologies , . , , ( 1980 ), 805 - 823 .
  9. H.K.Eriksen, , Asymmetries in the CMB anisotropy field , . , , ( 2004 ), 14 - 20 .
  10. T.R.Jaffe, , Fast and Efficient Template Fitting of Deterministic Anisotropic Cosmological Models Applied to WMAP Data , . , , ( 2006 ), 616 - 629 .
  11. V.B.Johri, R.Sudharsan, BD-FRW Cosmology with Bulk Viscosity , . , , ( 1989 ), 215 - 222 .
  12. S.D.Katore, Bianchi TypeII, VIII and IX String Cosmological Models in f(R) Gravity , 54 , ( 2015 ), 2700 - 2711
  13. W.B.Kibble, Topology of cosmic domains and strings, . , , ( 1976 ) 1387 - 1398 .
  14. P.S.Letelier, String cosmologies , , , ( 1983 ), 2414 .
  15. G.L.Murphy, Big-Bang Model Without Singularities , , , ( 1973 ) 4231 .
  16. S.Nojiri, S.D.Odintsov, Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models , . , ( 2011 ), 59 - 114 .
  17. S.Nojiri, S.D.Odintsov, Modified gravity with negative and positive powers of curvature: Unification of inflation and cosmic acceleration , , , ( 2003 ), 123512 .
  18. S.Nojiri, S.D.Odintsov, Introduction to Modified Gravity and Gravitational Alternative for Dark Energy , . , , ( 2007 ), 115 - 146 .
  19. S.Nojiri, S. D.Odintsov, Modified ( ) gravity consistent with realistic cosmology: From a matter dominated epoch to a dark energy universe , , , ( 2006 ) 086005 .
  20. S.Nojiri, , Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution , , ( 2017 ) 1 – 104 .
  21. S.Perlmutter, , Measurements of Omega and Lambda from 42 High-Redshift Supernovae , . , , ( 1999 ), 565 - 586 .
  22. V.U.M.Rao, , Exact Bianchi type II, VIII and IX string cosmological models in Saez-Ballester theory of gravitation , , , ( 2008 ), 73 - 77 .
  23. V.U.M.Rao, , Exact Bianchi type II, VIII and IX string cosmological models in General Relativity and self-creation theory of gravitation , , , ( 2008 ), 83 - 88 .
  24. V.U.M.Rao, , Axially symmetric string cosmological models in Brans-Dicke theory of gravitation , , ( 2009 ), 401 - 405 .
  25. V.U.M.Rao, , FRW Closed Bulk Viscous Cosmological Model in General Scalar Tensor Theory of Gravitation , . , , ( 2015 ), 531 - 539 .
  26. V.U.M.Rao, , Bulk Viscous Cosmological Models with Wet Dark Fluid in a Saez-Ballester Theory of Gravitation , , , ( 2015 ), 0060 .
  27. V.U.M.Rao, , A New Class of Bulk Viscous Cosmological Models in a Modified Theory of Gravity , Prespacetime J ., , ( 2014 ) 521 - 540 .
  28. D.R.K.Reddy, , Kaluza-Klein universe with cosmic strings and bulk viscosity in ( ) gravity , , , ( 2013 ) 261 – 265 .
  29. D.R.K.Reddy, A string cosmological model in Brans-Dicke theory of gravitation , . , , ( 2003 ), 365 - 371 .
  30. A.G.Riess, , Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant , . , , ( 1998 ), 1009 - 1038 .
  31. T.V.Sagar, , Bianchi type-III bulk viscous string cosmological model in Brans-Dicke theory of gravitation , . , , ( 2014 ), 479 - 483 .
  32. P.K.Sahoo, B.Mishra, Cylindrically Symmetric Cosmic Strings Coupled with Maxwell Fields in Bimetric Relativity , , , ( 2014 ), 275 - 284 .
  33. P.K.Sahoo, , Bianchi type string cosmological models in f(R,T) gravity , , , ( 2016 ) 333 .
  34. M.V.Santhi, : Bulk viscous string cosmological models in ( ) gravity , , ( 1 ) , ( 2018 ), 55 - 61 .
  35. A.Sheykhi, Magnetic strings in f(R) gravity , , , ( 2012 ), 2271 - 2281 .
  36. Shri Ram, M.K.Singh, M.K.Verma, Totally Anisotropic Cosmological Models with Bulk Viscosity for Variable G and Λ , , , ( 2012 ), 9 - 15 .
  37. M.Sharif, M.F.Shamir, Exact solutions of Bianchi-type I and V space-times in the f(R) theory of gravity , . , , ( 2009 ), 235020 .
  38. M.F.Shamir, Some Bianchi type cosmological models in f(R) gravity , . , , ( 2010 ), 183 - 189 .
  39. M.F.Shamir, Plane Symmetric Vacuum Bianchi Type III Cosmology in f (R) Gravity , , , ( 2011 ), 637 - 643 .
  40. M.Sharif, M.F.Shamir, Non-vacuum Bianchi types I and V in f(R) gravity , , , ( 2010 ), 2643 - 2655 .
  41. M.Sharif, H.R.Kausar, Non-vacuum solutions of Bianchi type V I0 universe in f(R) gravity , . , , ( 2011 ), 463 - 471 .
  42. V.Singh, C.P.Singh, Functional form of f(R) with power-law expansion in anisotropic model , . , , ( 2013 ), 285 - 289 .
  43. J.Stachel, Thickening the string. I. The string perfect dust , , , ( 1980 ) 2171 .
  44. S.K.Tripathy, , Bulk viscous string cosmological models with electromagnetic field , . , , ( 2009 ), 247 - 252 .
  45. K.Uddin, , Cosmological perturbations in Palatini-modified gravity , . , , ( 2007 ) 3951 - 3962 .
  46. A.Vilenkin, Cosmic strings and domain walls , , , ( 1985 ) 263 - 315 .
  47. X.X.Wang, Bianchi Type-III String Cosmological Model with Bulk Viscosity in General Relativity , . , , ( 2005 ), 29 .
  48. I.Yilmaz, , Quark and strange quark matter in f(R) gravity for Bianchi type I and V space-times , , , ( 2012 ), 2313 - 2328 .
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