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SECTION A: EXACT SCIENCES

Vol. 4 No. 2 (2012)

Wormholes in Cosmological Background

DOI
https://doi.org/10.18272/aci.v4i2.95
Submitted
September 29, 2015
Published
2012-12-28

Abstract

Using Einstein"™s field equations, the energy-momentum tensor components are deduced for a Morris-Thorne wormhole in a cosmological background. The embedding surfaces for these wormholes are studied and also the red shift parameter is calculated in terms of the conformal factor Q. The exoticity condition is analyzed and an analytic solution for the form factor of such wormholes is introduced. Finally, we study the weak energy conditions (WEC) and deduce an equation for the acceleration parameter of the universe in terms of the conformal factor.

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References

  1. Thorne, K.S. 1994. "Black Holes and Time Warps: Einstein"™s Outrageous Legacy." W. W. Norton & Company: New York, NY.
  2. Kaku, M. 1994. "Hyperspace." Oxford University Press, Inc: New York, NY.
  3. Kenyon, I. R. 1996. "General Relativity." Oxford University Press: Oxford, UK.
  4. Schutz, B. F. 2005. "A first course in general relativity." Cambridge University Press: Cambridge, UK.
  5. Marín, C. 2009. "Cayendo hacia un agujero negro de Schwarzschild." Avances en Ciencias e Ingenierías, 1 (1): 79-90.
  6. Marín, C. 2007. "La Expansión del Universo, Una Introducción a Cosmología, Relatividad General y Física de Partículas." Universidad San Francisco de Quito: Quito, Ecuador.
  7. Morris, M. S.; Thorne, K. S. 1988. "Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity." AmJ. Phys. 56 (5): 395-412.
  8. Marín, C. 2010. "Agujeros de gusano: solución exponencial." Avances en Ciencias e Ingenierías, 2 (2): A36-A54.
  9. Marín, C. 2011. "Agujeros de gusano y potenciales efectivos." Avances en Ciencias e Ingenierías. 3 (1): A13-A23.
  10. Ludvigsen, M. 1999. "General Relativity a Geometric Approach." Cambridge University Press: Cambridge, UK.
  11. Turner, M.; Kolb E. 1990. "The Early Universe." Addison Wesley: Redwood City, MS.
  12. Misner, C. W.; Thorne, K.S.; Wheeler, J. A. 1973. "Gravitation." W. H. Freeman & Company: New York, NY.
  13. Anchordoqui, L.; Torres, D.; Trobo, M.; Perez, S. 1998. "Evolving wormhole geometries." Phys. Rev. D. 57: 829-833.
  14. Lobo, F. S. 2005. "Energy conditions, Traversable wormholes and dust shells." Gen. Rel. Grav 37: 2023-2038.
  15. Hochberg, D.; Visser, M. 1997. "Geometric structure of the generic static traversable wormhole throat." Phys. Rev. D. 56: 4745-4755.
  16. Peacock, J. A. 2002. "Cosmological Physics." Cambridge University Press: Cambridge, UK.