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ACI Avances en Ciencias e Ingenierías

SECTION A: EXACT SCIENCES

Vol. 3 No. 1 (2011)

Wormholes and effective potentials

DOI
https://doi.org/10.18272/aci.v3i1.54
Submitted
July 24, 2015

Abstract

The fundamental properties of the Ellis wormholes are reviewed. Using the Hamilton-Jacobi formalism, we have derived the effective potentials and the orbit equation for a particle around a wormhole in both Ellis and Morris-Thorne geometries. Finally, we apply the equation obtained in the Morris-Thorne case for a Schwarzschild wormhole.

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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. 3(1), 79-90.
  6. Marín, C. 2007. La Expansión del Universo, "Una Introducción a Cosmología, Relatividad General y Física de Partículas", USFQ, Quito, Ecuador.
  7. Einstein, A.; Rosen, N. 1935. "The particle problem in the general theory of relativity" Phys. Rev. 48, 73-77.
  8. 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.
  9. Sagan, C. 1985. "Contact.", Simon and Schuster. New York.
  10. Marín, C. 2010. "Agujeros de gusano: solución exponencial." Avances en Ciencias e Ingenierías. 2(2), A36-A54.
  11. Clément, G. 1989. "The Ellis geometry." Am J. Phys. 57(11), 967.
  12. Misner, C. W.; Thorne, K.S. and Wheeler, J. A. 1973. "Gravitation." W. H. Freeman & Company. New York, NY.
  13. Landau, L. D.; Lifshitz, E.M. 1979. "Teoría Clásica de los Campos." Editorial Reverte.
  14. Muller, T. 2004. "Visual appearance of a Morris-Thorne-Wormhole." Am J. Phys. 72(8), 1045-1050.
  15. Blau, M. 2000. "Lecture Notes on General Relativity." ICTP. Trieste, Italy.