Astrophysics and Space Science

, Volume 346, Issue 1, pp 245–252 | Cite as

Wormholes supported by two non-interacting fluids

Original Article

Abstract

We provide a new matter source that supplies fuel to construct wormhole spacetime. The exact wormhole solutions are found in the model having, besides real matter, an anisotropic dark energy. We have shown that the exotic matters that are the necessary ingredients for wormhole physics violate null and weak energy conditions but obey strong energy condition marginally. Though the wormhole comprises of exotic matters yet the effective mass remains positive. We have calculated the effective mass of the wormhole up to 8 km from the throat (assuming throat radius as 4 km) as 1.3559M . Some physical features are briefly discussed.

Keywords

General relativity Dark energy Wormholes 

Notes

Acknowledgements

F.R. and S.R. are thankful to the authority of Inter-University Centre for Astronomy and Astrophysics, Pune, India for providing them Visiting Associateship under which a part of this work was carried out. F.R. is also thankful to PURSE and UGC for providing financial support. We are also grateful to Prof. F.N. Lobo and Dr. G.C. Shit for several insightful comments on this manuscript.

References

  1. Appleby, S., Battye, R., Moss, A.: Int. J. Mod. Phys. D 20, 1153 (2011) Google Scholar
  2. Battye, R., Moss, A.: Phys. Rev. D 80, 023531 (2009) ADSCrossRefGoogle Scholar
  3. Blome, J.J., Priester, W.: Naturwissenschaften 71, 528 (1984) ADSCrossRefGoogle Scholar
  4. Bronnikov, K.: Acta Phys. Pol. B 4, 251 (1973) MathSciNetGoogle Scholar
  5. Campanelli, L., Cea, P., Fogli, G.L., Tedesco, L.: Phys. Rev. D 81, 081301 (2010) CrossRefGoogle Scholar
  6. Clement, G.: Gen. Relativ. Gravit. 16, 477 (1984) MathSciNetADSMATHCrossRefGoogle Scholar
  7. Coleman, R.A., Korte, H.: In: Hermann Weyl’s Raum–Zeit–Materie and a General Introduction to His Scientific Work, p. 199 (1985) Google Scholar
  8. Das, A., Kar, S.: Class. Quantum Gravity 22, 3045 (2005) MathSciNetADSMATHCrossRefGoogle Scholar
  9. Davies, P.C.W.: Phys. Rev. D 30, 737 (1984) MathSciNetADSGoogle Scholar
  10. Ellis, H.: J. Math. Phys. 14, 104 (1973) ADSCrossRefGoogle Scholar
  11. Freeman, K., McNamara, G.: What can the matter be? In: Search of Dark Matter, p. 105. Birkhäuser, Basel (2006) Google Scholar
  12. Gribbin, J.: The Origins of the Future: Ten Questions for the Next Ten Years, p. 151. Yale University Press, New Haven (2007) Google Scholar
  13. Hogan, C.: Nature 310, 365 (1984) ADSCrossRefGoogle Scholar
  14. Jamil, M., et al.: Eur. Phys. J. C 67, 513 (2010) ADSCrossRefGoogle Scholar
  15. Kaiser, N., Stebbins, A.: Nature 310, 391 (1984) ADSCrossRefGoogle Scholar
  16. Kuhfittig, P.: Am. J. Phys. 67, 125 (1999) ADSCrossRefGoogle Scholar
  17. Kuhfittig, P., et al.: Int. J. Theor. Phys. 49, 1222 (2010) MathSciNetMATHCrossRefGoogle Scholar
  18. Landau, L.D., Lifshitz, E.M.: Fluid Mechanics. Course of Theoretical Physics. Pergamon, Oxford (1959) Google Scholar
  19. Lobo, F.: Phys. Rev. D 71, 084011 (2005) MathSciNetADSGoogle Scholar
  20. Lobo, F.: Phys. Rev. D 73, 064028 (2006) MathSciNetADSGoogle Scholar
  21. Lynden-Bell, D., Katz, J., Bicák, J.: Phys. Rev. D 75, 024040 (2007) MathSciNetADSGoogle Scholar
  22. Morris, M.S., Thorne, K., Yurtsever, U.: Phys. Rev. Lett. 61, 1446 (1988) ADSCrossRefGoogle Scholar
  23. Morris, M.S., Thorne, K.S.: Am. J. Phys. 56, 395 (1988) MathSciNetADSCrossRefGoogle Scholar
  24. Nandi, K.K., Zhang, Y.Z., Cai, R.G., Panchenko, A.: Phys. Rev. D 79, 024011 (2009) ADSGoogle Scholar
  25. Overduin, J.M., Cooperstock, F.I.: Phys. Rev. D 58, 043506 (1998) ADSGoogle Scholar
  26. Perlmutter, S., et al.: Nature 391, 51 (1998) ADSCrossRefGoogle Scholar
  27. Ponce de León, J.: Gen. Relativ. Gravit. 25, 1123 (1993) ADSCrossRefGoogle Scholar
  28. Pretzl, K.: Dark matter, massive neutrinos and Susy particles. In: Greiner, W. (ed.) Structure and Dynamics of Elementary Matter, p. 289 (2004) Google Scholar
  29. Rahaman, F., et al.: Phys. Lett. B 633, 161 (2006) MathSciNetADSMATHGoogle Scholar
  30. Rahaman, F., et al.: Phys. Scr. 76, 56 (2007) ADSMATHCrossRefGoogle Scholar
  31. Rahaman, F., et al.: Mod. Phys. Lett. A 23, 1199 (2008) MathSciNetADSMATHCrossRefGoogle Scholar
  32. Rahaman, F., et al.: Acta Phys. Pol. B 40, 25 (2009a) MathSciNetADSGoogle Scholar
  33. Rahaman, F., et al.: Int. J. Theor. Phys. 48, 471 (2009b) MathSciNetMATHCrossRefGoogle Scholar
  34. Rahaman, F., et al.: Gen. Relativ. Gravit. 44, 107 (2012) MathSciNetADSMATHCrossRefGoogle Scholar
  35. Riess, A.G., et al.: Astron. J. 116, 1009 (1998) ADSCrossRefGoogle Scholar
  36. Sahni, V., Starobinsky, A.: Int. J. Mod. Phys. D 9, 373 (2000) ADSGoogle Scholar
  37. Sushkov, S.: Phys. Rev. D 71, 043520 (2005) ADSGoogle Scholar
  38. Usmani, A.A., et al.: Gen. Relativ. Gravit. 42, 2901 (2010) MathSciNetADSMATHCrossRefGoogle Scholar
  39. Visser, M.: Phys. Rev. D 39, 3182 (1989) MathSciNetADSGoogle Scholar
  40. Visser, M.: Lorentzian Wormholes: From Einstein to Hawking. Springer, Berlin (1996) Google Scholar
  41. Wheeler, J.A.: Ann. Phys. 2, 525 (1957) ADSMATHCrossRefGoogle Scholar
  42. Wheeler, J.C.: Cosmic Catastrophes: Exploding Stars, Black Holes, and Mapping the Universe, p. 282. Cambridge University Press, Cambridge (2007) CrossRefGoogle Scholar
  43. Zaslavskii, O.: Phys. Rev. D 72, 061303 (2005) MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of MathematicsJadavpur UniversityKolkataIndia
  2. 2.Department of PhysicsGovernment College of Engineering & Ceramic TechnologyKolkataIndia

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