Skip to main content

Advertisement

SpringerLink
Log in

Living with phantoms fields in a sheet spacetime

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

We consider the flat anisotropic Bianchi I braneworld model of the universe within the framework of low energy effective string action in four-dimensions including the leading order α′ terms, two-scalar fields, their interaction, non-minimal coupling of the dark-energy scalar field to the scalar curvature and effective cosmological constant. Backward (high energy limit) and forward (low energy limit) in time analytic solutions are derived and late-time accelerated expansion was found. It is shown that during the transition from high energy limit to the low energy limit, the topology of the universe is changing in time: we have a transition from a (1 + 3) FRW homogenous and isotropic spacetime dominated by radiation to a (1 + 2) spacetime sheet dominated by phantom energy while the third spatial dimension is contracted in time. We have also found that dark matter and dark energy may be unified at early epoch in the form of radiation fluids while the late-time dynamics is governed by phantom energy and dark energy. Many interesting features are revealed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    ADS  Google Scholar 

  2. Perlmutter S. et al.: Astrophys. J. 517, 565 (1999)

    ADS  Google Scholar 

  3. Schmidt B.R. et al.: Astrophys. J. 507, 46 (1998)

    ADS  Google Scholar 

  4. Steinhardt P.J., Wang L., Zlatev I.: Phys. Rev. D 59, 123504 (1999)

    ADS  Google Scholar 

  5. Persic M., Salucci P., Stel F.: Mon. Not. Roy. Astron. Soc. 281, 27 (1996)

    ADS  Google Scholar 

  6. Riess A.G. et al.: Astrophys. J. 607, 665 (2004)

    ADS  Google Scholar 

  7. Alcaniz J.S.: Phys. Rev. D 69, 083521 (2004)

    ADS  Google Scholar 

  8. de Bernardis P.: Nature 377, 600 (2000)

    Google Scholar 

  9. Sahni V., Starobinsky A.: Int. J. Mod. Phys. D 15, 2105 (2006)

    MATH  MathSciNet  ADS  Google Scholar 

  10. Peebles P.J.E., Ratra B.: Rev. Mod. Phys. 75, 559 (2003)

    MathSciNet  ADS  Google Scholar 

  11. Zlatev I., Wang L., Steinhardt P.J.: Phys. Rev. Lett. 82, 896 (1999)

    ADS  Google Scholar 

  12. Steinhardt P.J., Wang L., Zlatev I.: Phys. Rev. D 59, 123509 (1999)

    ADS  Google Scholar 

  13. Zlatev I., Steinhardt P.J.: Phys. Lett. B 459, 570 (1999)

    ADS  Google Scholar 

  14. Rubano C. et al.: Phys. Rev. D 59, 103510 (2004)

    ADS  Google Scholar 

  15. Brax P.h., Martin J.: Phys. Lett. B 468, 45 (1999)

    MathSciNet  ADS  Google Scholar 

  16. Armendariz-Picon C., Mukhanov V., Steinhardt P.J.: Phys. Rev. D 63, 103510 (2001)

    ADS  Google Scholar 

  17. Fabris J.C., Concalves S.V.B., de Sa Ribeiro R.: Gen. Relativ. Gravit. 38, 495 (2006)

    MATH  ADS  Google Scholar 

  18. Yu Kamenshchik A., Moschella V., Pasquier V.: Phys. Lett. B 511, 265 (2001)

    ADS  Google Scholar 

  19. Fabris J.C., Concalves S.V.B., de Souza P.E.: Gen. Relativ. Gravit. 34, 53 (2002)

    MATH  Google Scholar 

  20. Bilic N., Tupper G.B., Viollier R.D.: Phys. Lett. B 535, 17 (2002)

    MATH  ADS  Google Scholar 

  21. Bento N.C., Bertolami O., Sen A.A.: Phys. Rev. D 66, 043507 (2002)

    ADS  Google Scholar 

  22. Batista A.B., Fabris J.C., de Sa Ribeiro R.: Gen. Relativ. Gravit. 33, 1237 (2001)

    MATH  MathSciNet  ADS  Google Scholar 

  23. Sen A.A., Sen S., Sethi S.: Phys. Rev. D 63, 10750 (2001)

    Google Scholar 

  24. Sen S., Seshadri T.R.: Int. J. Mod. Phys. D 12, 445 (2003)

    MATH  ADS  Google Scholar 

  25. Pimentel L.O., Pimentel L.O.: Int. J. Mod. Phys. A 18, 651 (2003)

    MATH  ADS  Google Scholar 

  26. Chiba T.: Phys. Rev. D 60, 083508 (1999)

    ADS  Google Scholar 

  27. Nozari K.: JCAP 0709, 003 (2007)

    ADS  Google Scholar 

  28. Nemiroff, R.J., Patla, B.: astro-ph/0409649

  29. Gao, C.J., Zhang, S.N.: astro-ph/0605682

  30. Srivastava, S.K.: gr-qc/0409074

  31. Maor I., Brustein R.: Phys. Rev. D 67, 103508 (2003)

    ADS  Google Scholar 

  32. Gumjudpai B. et al.: JCAP 0506, 007 (2005)

    ADS  Google Scholar 

  33. Nojiri S., Odintsov S.D., Gorbunova O.G.: J. Phys. A 39, 6627 (2006)

    MATH  MathSciNet  ADS  Google Scholar 

  34. Elizalde E., Hurtado J.Q., Arcos H.I.: Int. J. Mod. Phys. D 17, 2159 (2008)

    MATH  ADS  Google Scholar 

  35. Nojiri S., Odintsov S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007)

    MATH  MathSciNet  Google Scholar 

  36. Nojiri S., Odintsov S.D.: Phys. Lett. B 651, 224 (2007)

    MathSciNet  ADS  Google Scholar 

  37. Sandvik H., Tegmark M., Zaldarriaga M., Waga I.: Phys. Rev. D 69, 123524 (2004)

    ADS  Google Scholar 

  38. Das S., Banerjee N., Dalhich N.: Class. Quant. Grav. 23, 4159 (2006)

    MATH  ADS  Google Scholar 

  39. Sami M., Toporensky A., Tretjakov P.V., Tsujikawa S.: Phys. Lett. B 619, 193 (2005)

    ADS  Google Scholar 

  40. Rubakov V.A.: Phys. Usp. 44, 871 (2001)

    ADS  Google Scholar 

  41. Feruglio F.: Eur. Phys. J. C 33, S114 (2004)

    ADS  Google Scholar 

  42. Randall L., Sundrum R.: Phys. Rev. Lett. 83, 3370 (1999)

    MATH  MathSciNet  ADS  Google Scholar 

  43. Randall L., Sundrum R.: Phys. Rev. Lett. 83, 4690 (1999)

    MATH  MathSciNet  ADS  Google Scholar 

  44. Maia M.D., Monte E.M., Maia J.M.F.: Phys. Lett. B 585, 11 (2004)

    ADS  Google Scholar 

  45. Dvali G., Gabadaze G., Porrati M.: Phys. Lett. B 485, 208 (2000)

    MATH  MathSciNet  ADS  Google Scholar 

  46. Dvali G., Gabadadze G.: Phys. Rev. D 63, 065007 (2001)

    MathSciNet  ADS  Google Scholar 

  47. Dvali G. et al.: Phys. Rev. D 65, 024031 (2002)

    MathSciNet  ADS  Google Scholar 

  48. Dick R.: Class. Quantum Grav. 18, R1 (2001)

    MATH  MathSciNet  ADS  Google Scholar 

  49. Dick R.: Actaphys. Polon B 32, 3669 (2001)

    ADS  Google Scholar 

  50. Collins H., Holdom B.: Phys. Rev. D 62, 105009 (2000)

    MathSciNet  ADS  Google Scholar 

  51. Nozari K.: Phys. Lett. B 652, 159 (2007)

    ADS  Google Scholar 

  52. Shiromizu T., Maeda K., Sasaki M.: Phys. Rev. D 62, 024012 (2000)

    MathSciNet  ADS  Google Scholar 

  53. Shiromizu T., Maeda K., Sasaki M.: Phys. Rev. D 62, 024008 (2000)

    MathSciNet  ADS  Google Scholar 

  54. Heydari-Fard M., Sepangi H.R.: Phys. Lett. B 649, 1 (2007)

    MathSciNet  ADS  Google Scholar 

  55. Bogdanos C., Dimitriadis A., Tamvakis K.: Class Quantum Grav. 24, 3701 (2007)

    MATH  MathSciNet  ADS  Google Scholar 

  56. Farakos K., Pasipoularides P.: Phys. Rev. D 73, 084012 (2006)

    ADS  Google Scholar 

  57. Bamba K., Guo Z.-K., Ohta N.: Prog. Theor. Phys. 118, 879 (2007)

    MATH  ADS  Google Scholar 

  58. Alexander S., Brandenberger R.H., Easson D.: Phys. Rev. D 62, 103509 (2000)

    ADS  Google Scholar 

  59. Brandenberger R.H., Vafa C.: Nucl. Phys. B 316, 391 (1989)

    MathSciNet  ADS  Google Scholar 

  60. Parry M.F., Steer D.A.: JHEP 02, 032 (2002)

    MathSciNet  ADS  Google Scholar 

  61. Gasperini M.: Lect. Notes Phys. 737, 787 (2008)

    MathSciNet  ADS  Google Scholar 

  62. Fang W., Lu H.Q., Huang Z.G.: Int. J. Theor. Phys. 46, 2366 (2007)

    MATH  MathSciNet  Google Scholar 

  63. Babeti S.: Rom. J. Phys. 50(3–4), 231 (2005)

    MathSciNet  Google Scholar 

  64. Neupane, I.P.: hep-th/0605265

  65. Banados M.: Phys. Rev. D 55, 2051 (1997)

    MathSciNet  ADS  Google Scholar 

  66. Gao, C.J., Zhang, S.N.: astro-ph/0605682

  67. Cho Y.M.: Phys. Rev. D 41, 2462 (1990)

    ADS  Google Scholar 

  68. Cho Y.M., Yoon J.H.: Phys. Rev. D 47, 3465 (1993)

    ADS  Google Scholar 

  69. Cho Y.M., Keum Y.Y.: Class. Quantum Grav. 15, 907 (1998)

    MATH  ADS  Google Scholar 

  70. Cho, Y.M., Kim, J.H., Kim, S.W., Yoon J.H.: arXiv:0708.2590 [hep-ph]

  71. Al-Nowaiser A.A., Ozer M., Taha M.O.: Int. J. Mod. Phys. D 8, 43 (1999)

    MATH  ADS  Google Scholar 

  72. Lidsey J.E., Wands D., Copeland E.J.: Phys. Rept. 337, 343 (2000)

    MathSciNet  ADS  Google Scholar 

  73. Yazadjiev S.S.: Bulg. J. Phys. 30, 1 (2003)

    MathSciNet  Google Scholar 

  74. Arkani-Hamed N., Dimopoulos S., Kaloper N., Sundrum R.: Phys. Lett. B 480, 193 (2000)

    MATH  MathSciNet  ADS  Google Scholar 

  75. Kachru S., Schluz M., Silverstein E.: Phys. Rev. D 62, 045021 (2000)

    MathSciNet  ADS  Google Scholar 

  76. Binetruy P., Cline J.M., Grojean C.: Phys. Lett. B 489, 403 (2000)

    MathSciNet  ADS  Google Scholar 

  77. Faraoni V.: Phys. Rev. D 53, 6813 (1996)

    ADS  Google Scholar 

  78. Folomeev V.: Int. J. Mod. Phys. D 16, 1845 (2007)

    MathSciNet  ADS  Google Scholar 

  79. Saha B.: Chin. J. Phys. 43(6), 1035 (2005)

    MathSciNet  Google Scholar 

  80. Abramo L.R. et al.: Phys. Rev. D 67, 027301 (2003)

    MathSciNet  ADS  Google Scholar 

  81. Binder J.B., Kremer G.M.: Gen. Relativ. Gravit. 38, 857 (2005)

    MathSciNet  ADS  Google Scholar 

  82. Cho Y.M.: Phys. Rev. Lett. 68, 3133 (1992)

    MATH  MathSciNet  ADS  Google Scholar 

  83. Damour T., Nordtvedt K.: Phys. Rev. D 48, 3438 (1993)

    MathSciNet  ADS  Google Scholar 

  84. Damour T., Nordtvedt K.: Phys. Rev. Lett. 70, 2217 (1993)

    ADS  Google Scholar 

  85. Fay, S.: Cosmologies spatialement homogenes en theories tenseurs-scalaires. PhD thesis, Paris 7 University (2004)

  86. Cypriano E.S. et al.: Ap. J. 630, 38 (2005)

    ADS  Google Scholar 

  87. Sen S., Seshadri T.R.: Int. J. Mod. Phys. D 12, 445 (2003)

    MATH  ADS  Google Scholar 

  88. Pimentel L.O., Pimentel L.O.: IJMP A 18, 651 (2003)

    MATH  ADS  Google Scholar 

  89. Chiba T.: Phys. Rev. D 60, 083508 (1999)

    ADS  Google Scholar 

  90. Nozari K.: JCAP 09, 003 (2007)

    ADS  Google Scholar 

  91. Fang, W., Lu, H.Q., Huang, Z.G.: hep-th/0606032, hep-th/0409309

  92. Huang Z.G., Lu H.Q., Fang W.: Class. Quantum Grav. 23, 6215 (2006)

    MATH  MathSciNet  Google Scholar 

  93. Lecian, O.M., Montani, G.: arXiv:0710.0544 [gr-qc]

  94. Faraoni V.: Phys. Rev. D 62, 023504 (2000)

    ADS  Google Scholar 

  95. Binetruy P., Deffayet C., Ellwanger U., Langlois D.: Phys. Lett. B 477, 285 (2000)

    ADS  Google Scholar 

  96. Kraus P.: JHEP 9912, 011 (1999)

    MathSciNet  ADS  Google Scholar 

  97. Ida D.: JHEP 0009, 014 (2000)

    MathSciNet  ADS  Google Scholar 

  98. Koyoma K.: Gen. Relativ. Gravit. 40, 421 (2008)

    ADS  Google Scholar 

  99. Cho Y.M.: Phys. Rev. Lett. 68, 3133 (1992)

    MATH  MathSciNet  ADS  Google Scholar 

  100. Jarv L., Kuusk P., Saal M.: Phys. Rev. D 76, 103506 (2007)

    MathSciNet  ADS  Google Scholar 

  101. Faraoni V., Gunzig E.: Int. J. Theor. Phys. 38, 217 (1999)

    MATH  MathSciNet  Google Scholar 

  102. Lidsey J.E.: Class. Quantum Grav. 9, 1239 (1992)

    MATH  MathSciNet  ADS  Google Scholar 

  103. Pradhan A., Otarod S.: Astrophys. Space Sci. 306, 11 (2006)

    MATH  ADS  Google Scholar 

  104. El-Nabulsi A.R.: Mod. Phys. Lett. A 23(6), 401 (2008)

    MATH  MathSciNet  ADS  Google Scholar 

  105. El-Nabulsi A.R.: Chin. Phys. Lett. 25(8), 2785 (2008)

    ADS  Google Scholar 

  106. El-Nabulsi A.R.: Int. J. Mod. Phys. D 18, 2289 (2009)

    MathSciNet  Google Scholar 

  107. El-Nabulsi A.R.: Int. J. Mod. Phys. D 18(15), 691 (2009)

    MATH  MathSciNet  ADS  Google Scholar 

  108. El-Nabulsi, A.R.: Comm. Theor. Phys. (2009, in press)

  109. El-Nabulsi A.R.: Fizika B 17(4), 455 (2008)

    Google Scholar 

  110. Mersini L.: Mod. Phys. Lett. A 16, 1933 (2001)

    MATH  MathSciNet  ADS  Google Scholar 

  111. Chen W., Wu Y.: Phys. Rev. D 41, 695 (1990)

    ADS  Google Scholar 

  112. Ozer M., Taha M.O.: Phys. Lett. B 171, 363 (1986)

    ADS  Google Scholar 

  113. Ozer M., Taha M.O.: Nucl. Phys. B 287, 776 (1986)

    ADS  Google Scholar 

  114. Abdel-Rahaman A.-M.M.: Class. Quantum Grav. 22, 655 (1990)

    Google Scholar 

  115. Abdel-Rahaman A.-M.M.: Phys. Rev. D 45, 3492 (1990)

    Google Scholar 

  116. Carvalho J.C., Lima J.A.S, Waga I.: Phys. Rev. D 46, 2404 (1992)

    ADS  Google Scholar 

  117. Waga I.: Astrophys. J. 414, 436 (1993)

    ADS  Google Scholar 

  118. Vishwakarma R.G.: Class. Quantum Grav. 17, 3833 (2000)

    MATH  ADS  Google Scholar 

  119. Silveira V., Waga I.: Phys. Rev. D 50, 4890 (1994)

    ADS  Google Scholar 

  120. Azad A.K., Islam J.N.: PRAMANA J. Phys. 60(1), 21 (2003)

    ADS  Google Scholar 

  121. Lopez J.L., Nanopoulos D.V.: Mod. Phys. Lett. A 11, 1 (1996)

    MATH  MathSciNet  ADS  Google Scholar 

  122. Overduin J.M., Cooperstock F.I.: Phys. Rev. D 58, 043506 (1998)

    ADS  Google Scholar 

  123. Pitjeva E.V.: Astron. Lett. 31, 340 (2005)

    ADS  Google Scholar 

  124. Hellings R.W. et al.: Phys. Rev. Lett. 51, 160 (1983)

    Google Scholar 

  125. Muller J., Schneider M., Soffel M., Ruder H.: Astrophys. J. 382, L10 (1991)

    Google Scholar 

  126. Williams J.G., Newhall X.X., Dickey J.O.: Phys. Rev. D 53, 6730 (1996)

    ADS  Google Scholar 

  127. Doran M., Robbers G.: JCAP 0606, 026 (2006)

    MathSciNet  ADS  Google Scholar 

  128. Uzan J.P.: Phys. Rev.D 59, 123510 (1999)

    ADS  Google Scholar 

  129. Spergel D.N. et al.: Astrophys. J. Suppl. 148, 175 (2003)

    ADS  Google Scholar 

  130. Abazajian K. et al.: Astron. J. 129, 1755 (2005)

    ADS  Google Scholar 

  131. Rapetti D. et al.: MNRAS 360, 555 (2005)

    ADS  Google Scholar 

  132. Fadeev, S.B., Ivashchuk, V.D.: In: Proceedings of the Russian summer school-seminar Modern theoretical problems of gravitation and cosmology, September 9–16, 2007, TSHPU, Kazan-Yalchik, Russia (arXiv:0706.3988 [gr-qc])

  133. Giovannini M.: Phys. Rev. D 59, 123518 (1999)

    ADS  Google Scholar 

  134. Giovannini M.: Phys. Rev. D 59, 063503 (1999)

    ADS  Google Scholar 

  135. Harto T., Mak M.K.: Int. J. Mod. Phys. D 11, 1171 (2002)

    ADS  Google Scholar 

  136. Banerjee A., Ghosh T.: Class. Quantum Grav. 16, 3981 (1999)

    MATH  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Nuclear and Energy Engineering, Cheju National University, Ara-dong 1, Jeju, 690-756, South Korea

    Ahmad Rami El-Nabulsi

Authors
  1. Ahmad Rami El-Nabulsi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ahmad Rami El-Nabulsi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

El-Nabulsi, A.R. Living with phantoms fields in a sheet spacetime. Gen Relativ Gravit 42, 1381–1398 (2010). https://doi.org/10.1007/s10714-009-0911-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-009-0911-x

Keywords

Search

Navigation