Advertisement

Gravitation and Cosmology

, Volume 19, Issue 1, pp 57–64 | Cite as

Nonsingular Chaplygin gas cosmologies in universes connected by a wormhole

  • A. MokeevaEmail author
  • V. Popov
Article

Abstract

We present some exact solutions of the Einstein equations with an anisotropic fluid exploiting the Chaplygin equation of state. The solutions describe space-times with two identical T-regions and an intermediate static spherically symmetric R-region containing a wormhole. The metric in the T-region represents an anisotropic Kantowski-Sachs cosmological model. Its evolution starts from a horizon and develops according to different scenarios including eternal expansion, contraction and also a finite lifetime.

Keywords

Black Hole Radial Pressure Cosmological Evolution Strong Energy Condition Transversal Pressure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. G. Riess et al., Astron. J. 116, 1009 (1998) [astro-ph/9805201]; S. Perlmutter et al., Astrophys. J. 517, 565 (1999) [astro-ph/9812133]; J. L. Tonry et al., Astrophys. J. 594, 1 (2003) [astro-ph/0305008]; R. A. Knop et al., Astrophys. J. 598, 102 (2003) [astro-ph/0309368].ADSCrossRefGoogle Scholar
  2. 2.
    S. Masi et al., Prog. Part. Nucl. Phys. 48, 243 (2002) [astro-ph/0201137]; C. L. Bennett et al., Astrophys. J. Suppl. 148, 1 (2003) [astro-ph/0302207]; D. N. Spergel et al., Astrophys. J. Suppl. 148, 175 (2003) [astro-ph/0302209]; C. J. MacTavish et al., Astrophys. J. 647, 799 (2006) [astro-ph/0507503]; E. Komatsu et al., Astrophys. J. Suppl. 192, 18 (2011) [arXiv: 1001.4538].ADSCrossRefGoogle Scholar
  3. 3.
    M. Tegmark et al., Phys. Rev. D 69, 103501 (2004) [astro-ph/0310723]; A. C. Pope et al., Astrophys. J. 607, 655 (2004) [astro-ph/040124]; U. Seljak et al., Phys. Rev. D 71, 103515 (2005) [astro-ph/0407372]; K. Abazajian et al., Astrophys. J. Suppl. 182, 543 (2009) [arXiv: 0812.0649].ADSCrossRefGoogle Scholar
  4. 4.
    C. Wetterich, Nucl. Phys. B 302, 668 (1988); P. J. E. Peebles and B. Ratra, Astrophys. J. 325, L17 (1988).ADSCrossRefGoogle Scholar
  5. 5.
    C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000) [astro-ph/0004134].ADSCrossRefGoogle Scholar
  6. 6.
    R. R. Caldwell, M. Kamionkowski, and N. N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003) [astroph/ 0302506].ADSCrossRefGoogle Scholar
  7. 7.
    S. Nojiri and S. D. Odintsov, Phys. Rev.D 68, 123512 (2003) [hep-th/0307288]; S. Capozziello, V. F. Cardone, and A. Troisi, Phys. Rev. D 71, 043503 (2005) [astro-ph/0501426]; L. Amendola, D. Polarski, and S. Tsujikawa, Phys Rev. Lett. 98, 131302 (2007) [astro-ph/0603703].MathSciNetADSCrossRefGoogle Scholar
  8. 8.
    C. Csaki, M. Graesser, L. Randall, and J. Terning, Phys. Rev. D 62, 045015 (2000) [hep-ph/9911406]; C. Deffayet, S. J. Landau, J. Raux, M. Zaldarriaga, and P. Astier, Phys. Rev. D 66, 024019 (2002) [astroph/0201164].MathSciNetADSCrossRefGoogle Scholar
  9. 9.
    A. Y. Kamenshchik, U. Moschella, and V. Pasquier, Phys. Lett. B 511, 265 (2001) [gr-qc/0103004].ADSzbMATHCrossRefGoogle Scholar
  10. 10.
    L. P. Chimento and R. Lazkoz, Phys. Lett. B 615, 146 (2005) [astro-ph/0411068].ADSCrossRefGoogle Scholar
  11. 11.
    M. C. Bento, O. Bertolami, and A. A. Sen, Phys. Rev. D 66, 043507 (2002) [gr-qc/0202064]; N. Bilic, G. B. Tupper, and R. D. Viollier, Phys. Lett. B 535, 17 (2002) [astro-ph/0111325].ADSCrossRefGoogle Scholar
  12. 12.
    M. C. Bento, O. Bertolami, and A. A. Sen, Phys. Rev. D 70, 083519 (2004) [astro-ph/0407239].ADSCrossRefGoogle Scholar
  13. 13.
    V. A. Popov, Phys. Lett. B 686, 211 (2010) [arXiv: 0912.1609].ADSCrossRefGoogle Scholar
  14. 14.
    E. J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006) [hep-th/0603057]; J. Frieman,M. Turner, and D.Huterer, Ann. Rev. Astron. Astrophys. 46, 385 (2008) [arXiv: 0803.0982]; S. Capozziello and M. Francaviglia, Gen. Rel. Grav. 40, 357 (2008) [arXiv: 0706.1146]; V. Faraoni and T. Sotiriou, Rev. Mod. Phys. 82, 451 (2010) [arXiv: 0805.1726].MathSciNetADSzbMATHCrossRefGoogle Scholar
  15. 15.
    F. S. N. Lobo, Phys. Rev. D 73, 064028 (2006) [grqc/ 0511003].MathSciNetADSCrossRefGoogle Scholar
  16. 16.
    G. Darmois, Memorial des sciences mathematiques XXV, Fascicule XXV, ch. V, Gauthier-Villars, Paris, France, 1927; W. Israel, Nuovo Cimento 44B, 1 (1966).Google Scholar
  17. 17.
    R. K. Pathria, Nature 240, 298 (1972).ADSCrossRefGoogle Scholar
  18. 18.
    V. P. Frolov, M. A. Markov, and V. F. Mukhanov, Phys. Lett. B 216, 272 (1989); V. P. Frolov, M. A. Markov, and V. F. Mukhanov, Phys. Rev. D 41, 383 (1990); W. M. Stuckey, Amer. J. Phys. 62, 788 (1994); J. Smoller and B. Temple, Proc. Natl. Acad. Sci. USA 100, 11216 (2003) [astro-ph/0210105]; N. J. Poplawski, Phys. Lett. B 687, 110 (2010) [arXiv: 0902.1994].MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    K. A. Bronnikov and J. C. Fabris, Phys. Rev. Lett. 96, 251101 (2006) [gr-qc/0511109]; K. A. Bronnikov, H. Dehnen, and V. N. Melnikov, Gen. Rel. Grav. 39, 973 (2007) [gr-qc/0611022].MathSciNetADSCrossRefGoogle Scholar
  20. 20.
    K. A. Bronnikov, A. Dobosz, and I. G. Dymnikova, Class. Quant. Grav. 20, 3797 (2003) [grqc/0302029].MathSciNetADSzbMATHCrossRefGoogle Scholar
  21. 21.
    K. A. Bronnikov and O. B. Zaslavskii, Class. Quant. Grav. 25, 105015 (2008) [arXiv: 0710.5618]; K. A. Bronnikov and O. B. Zaslavskii, Int. J. Mod. Phys. D 18, 2283 (2009) [arXiv: 0905.4425].MathSciNetADSCrossRefGoogle Scholar
  22. 22.
    K. A. Bronnikov and O. B. Zaslavskii, Phys. Rev. D 84, 084013 (2011) [arXiv: 1107.4701].ADSCrossRefGoogle Scholar
  23. 23.
    R. Kantowski and R. K. Sachs, J. Math. Phys. 7, 443 (1966).MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Physical DepartmentLobachevsky State University of Nizhni NovgorodNizhni NovgorodRussia
  2. 2.Institute of PhysicsKazan Federal UniversityKazanRussia

Personalised recommendations