Wormholes and effective potentials
PDF (Spanish)

Keywords

Wormhole
Ellis
general relativity
hyperspace
Einstein
orbits.

How to Cite

Marín, C. A. (2011). Wormholes and effective potentials. ACI Avances en Ciencias E Ingenierías, 3(1). https://doi.org/10.18272/aci.v3i1.54

Share

Downloads

Download data is not yet available.

Societal impact


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.

PDF (Spanish)

References

Thorne, K.S. 1994. "Black Holes and Time Warps: Einstein"™s Outrageous Legacy." W. W. Norton & Company. New York, NY.

Kaku, M. 1994. "Hyperspace." Oxford University Press, Inc. New York, NY.

Kenyon, I. R. 1996. "General Relativity." Oxford University Press. Oxford, UK.

Schutz, B. F. 2005. "A first course in general relativity.", Cambridge University Press. Cambridge, UK.

Marín, C. 2009. "Cayendo hacia un agujero negro de Schwarzschild." Avances en Ciencias e Ingenierías. 3(1), 79-90.

Marín, C. 2007. La Expansión del Universo, "Una Introducción a Cosmología, Relatividad General y Física de Partículas", USFQ, Quito, Ecuador.

Einstein, A.; Rosen, N. 1935. "The particle problem in the general theory of relativity" Phys. Rev. 48, 73-77.

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.

Sagan, C. 1985. "Contact.", Simon and Schuster. New York.

Marín, C. 2010. "Agujeros de gusano: solución exponencial." Avances en Ciencias e Ingenierías. 2(2), A36-A54.

Clément, G. 1989. "The Ellis geometry." Am J. Phys. 57(11), 967.

Misner, C. W.; Thorne, K.S. and Wheeler, J. A. 1973. "Gravitation." W. H. Freeman & Company. New York, NY.

Landau, L. D.; Lifshitz, E.M. 1979. "Teoría Clásica de los Campos." Editorial Reverte.

Muller, T. 2004. "Visual appearance of a Morris-Thorne-Wormhole." Am J. Phys. 72(8), 1045-1050.

Blau, M. 2000. "Lecture Notes on General Relativity." ICTP. Trieste, Italy.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.