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Open Access Research Article

Study of Frw Type Kaluza-Klein Domain Wall Cosmological Models in the Presence of Massive Scalar Field in a Modified Gravity

, , , * ,

* Corresponding author · click or hover a name for details

pp. 227–247Vol. 20Issue 2July 2022DOI: 10.1080/1726037X.2022.2139928XML
Received:
03 Mar 2022
Accepted:
07 Aug 2022
Published Online:
13 Nov 2022
Article type:
Research Article
Language:
EN
Article no.:
1726037X.2022.2139928
Pages:
227–247

Abstract

This article examines the physical behaviour of the Kaluza-Klein FRW type space-time with f(R,T) gravity proposed by Harko et al. (Phys. Rev. D 84:024020, 2011) in the presence of a massive scalar meson field. Here, ”R” stands for the Ricci tensor, while ”T” stands for the energy-momentum tensor’s trace. We employed the (i ) hybrid expansion law (Akarsu et al. JCAP, 01:022, 2014), (ii ) the variable deceleration parameter (Mishra et al. Int. J. Theor. Phys. 52:2546, 2013), and (iii ) the linearly varying deceleration parameter (Akarsu and Dereli. Int. J. Theor. Phys. 51:612, 2012) to solve the field equations. Additionally, we looked at some of the model’s physical and kinematic characteristics. Our models have been found to show a smooth transition from the universe’s early slowdown to its current acceleration, and the current value of the deceleration parameter is found to be reasonably consistent with the observational data. The early stages of the universe’s evolution will be better understood through the study of domain wall cosmological models.

References

  1. Riess, A.G., , Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant , Astron.J . 116 : 1009 - 1038 ( 1998 ). doi: 10.1086/300499
  2. Perlmutter, S., Measurements of Omega and Lambda from 42 High-Redshift Supernovae , Astrphys. J . 517 , 565 - 586 ( 1999 ). doi: 10.1086/307221
  3. Harko, T., , f(R,T) gravity , Phys. Rev. D 84 , 024020 ( 2011 ).
  4. Nojiri, S., Odintsov, S.D., Modified gravity with negative and positive powers of curvature: Unification of inflation and cosmic acceleration , Phys. Rev. D , 68 , ( 2003 ), 123512 doi: 10.1103/PhysRevD.68.123512
  5. Kibble, T.W.B., Topology of cosmic domains and strings J . Math. A: Math. Gen ., 9 , 1387 ( 1976 ).
  6. Hill, C.T., Schram, D.N., Fry, J.N., Nucl. Part . Phys. 19 , 25 ( 1989 )
  7. Vilenkin, A., Gravitational Field of Vacuum Domain Walls , Phys. Lett . B 133 , 177 ( 1983 ) doi: 10.1016/0370-2693(83)90554-3
  8. Wang, A., Gravitational collapse of thick domain walls: an analytic model , Mod. Phys. Lett . 39 , 3605 ( 1994 ) doi: 10.1142/S0217732394003440
  9. Rahaman, F., Bera, J., Higher dimensional cosmological model in Lyra geometry , Int. J. Mod. Phys. D 10 , 729 ( 2001 ) doi: 10.1142/S0218271801001232
  10. Biswal, A.K., , Kaluza-Klein cosmological model in f(R,T) gravity with domain walls , Astrophys Space Sci 359 , 42 ( 2015 ). doi: 10.1007/s10509-015-2493-2
  11. Shaikh, A.Y., Wankhade, K.S., Domain Walls Cosmological Model in f (R,T) Theory of Gravity , IJSRST 4 , 134 ( 2018 )
  12. Binaya K.Bishi, Domain Walls and Quark Matter Cosmological Models in f(R,T) Gravity , Iran J Sci Technol Trans Sci 45 , 1825 ( 2021 ). doi: 10.1007/s40995-021-01113-4
  13. Katore, S.D., Hatkar, S.P., Bianchi type III and KantowskiSachs domain wall cosmological models in the f (R, T) theory of gravitation , Pro. Theor. And Exp. Phys . 2016, 033E01 ( 2016 ).
  14. Tiwari, R.K., Transit cosmological models with domain walls in f (R, T) gravity , Gravitation and Cosmology , 23 , 392 ( 2017 ). doi: 10.1134/S020228931704020X
  15. Santhi, MV, Rao, VUM, Aditya, Y, Kantowski-Sachs scalar field cosmological models in a modified theory of gravity . Can. J. Phys ., 95 ( 2 ), 136 ( 2017 ). https://doi.org/10.1139/cjp-2016-0718
  16. Rao, V.U.M., Plane symmetric modified holographic Ricci dark energy model in Saez-Ballester theory of gravitation, Results in Physics , Elsevier , 10 , 469 - 475 ( 2018 ).
  17. Aditya, Y., Reddy, D.R.K., Locally rotationally symmetric Bianchi type-I string cosmological models in ( ) theory of gravity , International Journal of Geometrical Methods in Modern Physics , 15 ( 9 ), 1850156 ( 2018 ).
  18. Santhi, M.V., , Bulk viscous string cosmological models in f(R) gravity , Canadian Journal of Physics , 96 ( 1 ): 55 - 61 ( 2018 ). doi: 10.1139/cjp-2017-0256
  19. Santhi, M.V., , Anisotropic magnetized holographic Ricci dark energy cosmological models , Canadian Journal of Physics , 95 ( 4 ), 381 - 392 ( 2017 ) doi: 10.1139/cjp-2016-0781
  20. Santhi, M.V., , Kaluza-Klein cosmological models with two fluids source in Brans-Dicke theory of gravitation , The African Review of Physics , 11 , 0029 ( 2016 )
  21. Prasanthi, U.Y.D., Aditya, Y., Anisotropic Renyi holographic dark energy models in general relativity , Results of Physics 17 , 103101 ( 2020 )
  22. Prasanthi, U.Y.D., Aditya, Y., Observational constraints on Renyi holographic dark energy in Kantowski-Sachs universe , Physics of the dark universe 31 , 100782 ( 2021 ) doi: 10.1016/j.dark.2021.100782
  23. Aditya, Y., , Observational constraint on interacting Tsallis holographic dark energy in logarithmic Brans-Dicke theory , Eur. Phys. J. C 79 , 1020 ( 2019 ) doi: 10.1140/epjc/s10052-019-7534-5
  24. Aditya, Y., Reddy, D.R.K., Dynamics of perfect fluid cosmological model in the presence of massive scalar field in f(R,T) gravity , Astrophys. Space Sci . 364 , 3 ( 2019 ) doi: 10.1007/s10509-018-3491-y
  25. Aditya, Y., Reddy, D.R.K., FRW type Kaluza-Klein modified holographic Ricci dark energy models in Brans-Dicke theory of gravitation , Eur. Phys. J. C 78 , 619 ( 2018 ) doi: 10.1140/epjc/s10052-018-6074-8
  26. Aditya, Y., Reddy, D.R.K., Anisotropic new holographic dark energy model in Saez-Ballester theory of gravitation , Astrophys Space Sci 363 , 207 ( 2018 ) doi: 10.1007/s10509-018-3429-4
  27. Santhi, M.V., , Anisotropic generalized ghost pilgrim dark energy model in general relativity , Int. J Theore. Phys . 56 , 362 - 371 ( 2017 ) doi: 10.1007/s10773-016-3175-8
  28. Santhi, M.V., , Bianchi type- modified holographic Ricci dark energy model in a scalar-tensor theory , Can. J. Phys . 95 , 179 ( 2017 ) doi: 10.1139/cjp-2016-0628
  29. Santhi, M.V., , Some Bianchi Type generalized ghost pilgrim dark energy models in general relativity , Astrophys. Space Sci . 361 , 142 ( 2016 ) doi: 10.1007/s10509-016-2731-2
  30. Santhi, M.V., , LRS Bianchi type-V Universe with variable modified Chaplygin gas in a scalar tensor theory of gravitation , Can J Phys 94 , 578 ( 2016 ). doi: 10.1139/cjp-2016-0099
  31. Aditya, Y., , Bianchi type-II, VIII and IX cosmological models in a modified theory of gravity with variable Λ , Astrophysics and Space Science , 361 , 56 ( 2016 ). doi: 10.1007/s10509-015-2617-8
  32. Naidu, RL, Bianchi type-II modified holographic Ricci dark energy cosmological model in the presence of massive scalar field , Canadian Journal of Physics , 97 ( 3 ), 330 ( 2019 ). doi: 10.1139/cjp-2017-0716
  33. Naidu, RL, Aditya, Y, Reddy, DRK, Bianchi type-V dark energy cosmological model in general relativity in the presence of massive scalar field . Heliyon 5 , e01645 . https://doi.org/10.1016/j.heliyon.2019.e01645 ( 2019 )
  34. Reddy, DRK, , Dynamics of Bianchi type-II anisotropic dark energy cosmological model in the presence of scalar-meson fields . Can. J. Phys ., 97 ( 9 ), 932 . https://doi.org/10.1139/cjp-2018-0403 ( 2019 )
  35. Aditya, Y., , Kaluza-Klein dark energy model in Lyra manifold in the presence of massive scalar field , Astrophys Space Sci 364 , 190 ( 2019 )
  36. Aditya, Y, Reddy, DRK, Dynamics of perfect fluid cosmological model in the presence of massive scalar field in f(R , T) gravity. Astrophys Space Sci 364 , 3 ( 2019 ). https://doi.org/10.1007/s10509-018-3491-y
  37. Deniel Raju, K, Aditya, Y, Rao, VUM, Reddy, DRK, Bianchi type-III dark energy cosmological model with massive scalar meson field . Astrophys.Space Sci . 365 , 45 ( 2020 ). DOI: 10.1007/s10509-020-03753-1
  38. Deniel Raju, K, , Kantowski-Sachs universe with Dark energy fluid and massive scalar field . Can. J. Phys 98 , 993 ( 2020 ). doi: 10.1139/cjp-2019-0563
  39. Deniel Raju, K, Vinutha, T, Aditya, Y, Reddy, DRK, Bianchi type-V string cosmological model with a massive scalar field . Astrophys. Space Sci . 365 , 28 ( 2020 ). DOI: 10.1007/s10509-020-3729-3
  40. Aditya, Y., , 2020 . Dynamical aspects of anisotropic Bianchi type VI0 cosmological model with dark energy fluid and massive scalar field . Indian Journal of Phys . 95 , 383 - 389 ( 2021 ). https://doi.org/10.1007/s12648-020-01722-6
  41. Naidu, RL, Aditya, Y, Ramesh, G, Reddy, DRK, Axially symmetric Bianchi type-I Cosmological model of the universe in the presence of perfect fluid and an attractive massive scalar field in Lyra manifold . Astrophys Space Sci 365 , 91 ( 2020 ). https://doi.org/10.1007/s10509-020-03796-4
  42. Naidu, R.L., Kaluza-Klein FRW dark energy models in Saez-Ballester theory of gravitation New Astronomy 85 , 101564 ( 2021 )
  43. Naidu, K.D.Kaluza-Klein minimally interacting dark energy model in the presence of massive scalar field . Modern Physics Letters A 36 , 2150054 ( 2021 ). doi: 10.1142/S0217732321500541
  44. Aditya, Y., Plane-symmetric dark energy model with a massive scalar field . New Astronomy 84 , 101504 ( 2021 )
  45. Aditya, Y., , Bianchi type-IX model in the presence of anisotropic dark energy and massive scalar meson field in Lyra geometry , International Journal of Modern Physics A ( 2022 ) DOI: 10.1142/S0217751X2250107X
  46. Bhaskara Rao, M.P.V.V., 2022 . Bianchi type-I dark energy cosmological model coupled with a massive scalar field . New Astronomy , 92 , 101733, ( 2022 ). doi: 10.1016/j.newast.2021.101733
  47. Bhaskara Rao, M.P.V.V., , Anisotropic minimally interacting dark energy models with cosmic strings and a massive scalar field , International Journal of Modern Physics A , 36 ( 36 ) 2150260, 2021 .
  48. Witten, E., Cosmic separation of phases , Phys Rev D 30 , 272 ( 1984 ). doi: 10.1103/PhysRevD.30.272
  49. Johri, V.B., Sudharsan, R., BD-FRW cosmology with bulk viscosity , Australian Journal of Physics 42 , 215 ( 1989 ). doi: 10.1071/PH890215
  50. Johri, V.B., Desikan, K., Cosmological models with constant deceleration parameter in Brans-Dicke theory , Gen Relat Gravit 26 , 1217 ( 1994 ).
  51. Akarsu, O., , Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints , JCAP , 01 , 022 ( 2014 ).
  52. Mishra, R.K., , Anisotropic Viscous Fluid Cosmological Models from Deceleration to Acceleration in String Cosmology , Int. J. Theor. Phys . 52 , 2546 ( 2013 ). doi: 10.1007/s10773-013-1540-4
  53. Rao, VUM, Divya Prasanthi, UY, Bianchi Type-I and III Modified Holographic Ricci Dark Energy Models in Saez-Ballester Theory , The European Physical Journal Plus , 132 , 64 ( 2017 ). doi: 10.1140/epjp/i2017-11328-9
  54. Akarsu, O., Dereli, T., Cosmological models with linearly varying deceleration parameter , Int. J. Theor. Phys . 51 , 612 ( 2012 ) doi: 10.1007/s10773-011-0941-5
  55. Capozziello, S., , Model-independent constraints on dark energy evolution from lowredshift observations , MNRAS 484 , 4484 ( 2019 ) doi: 10.1093/mnras/stz176
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