Geodesic time travel in Gödel’s universe
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Sociedad Mexicana de Física A.C.
2016
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| _version_ | 1876437573164859392 |
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| author | A. Aguirre-Astrain |
| author_facet | A. Aguirre-Astrain |
| contents | Geodesic time travel in Gödel’s universe A. Aguirre-Astrain H.N. Núñez-Yépez A. L. Salas-Brito Física, Astronomía y Matemáticas Keywords: Time travel G ̈ odel universe geodesics This work is an introduction at a beginning graduate or advanced undergraduate level to Kurt G ̈ odel’s foray into cosmology. After an elementary introduction to the basics of Einstein’s theory of gravitation, we simply present the G ̈ odel’s solution and the geodesic equations associated with it. This equations are then explicitly solved obtaining its full set of temporal geodesics. Armed with such explicit expressions, the geodesic time-travelling possibilities of G ̈ odel’s universe are discussed. We search for their time-like closed geodesics that, following G ̈ odel’s analysis, other people has imagined as possible routes for time-travel. We next exhibit that such time-travelling possibility do not exist in his model universe. This is done in the most straightforward way possible, framing the discussion as to serve as a simple example for students of General Relativity. 2016 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57048166010 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.62 |
| format | Artículo científico |
| id | redalyc_57048166010 |
| institution | Redalyc |
| language | en |
| publishDate | 2016 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Geodesic time travel in Gödel’s universe A. Aguirre-Astrain Física, Astronomía y Matemáticas Keywords: Time travel G ̈ odel universe geodesics Geodesic time travel in Gödel’s universe A. Aguirre-Astrain H.N. Núñez-Yépez A. L. Salas-Brito Física, Astronomía y Matemáticas Keywords: Time travel G ̈ odel universe geodesics This work is an introduction at a beginning graduate or advanced undergraduate level to Kurt G ̈ odel’s foray into cosmology. After an elementary introduction to the basics of Einstein’s theory of gravitation, we simply present the G ̈ odel’s solution and the geodesic equations associated with it. This equations are then explicitly solved obtaining its full set of temporal geodesics. Armed with such explicit expressions, the geodesic time-travelling possibilities of G ̈ odel’s universe are discussed. We search for their time-like closed geodesics that, following G ̈ odel’s analysis, other people has imagined as possible routes for time-travel. We next exhibit that such time-travelling possibility do not exist in his model universe. This is done in the most straightforward way possible, framing the discussion as to serve as a simple example for students of General Relativity. 2016 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57048166010 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.62 |
| title | Geodesic time travel in Gödel’s universe |
| topic | Física, Astronomía y Matemáticas Keywords: Time travel G ̈ odel universe geodesics |
| url | https://www.redalyc.org/articulo.oa?id=57048166010 |