Geodesic time travel in Gödel's universe



Document title: Geodesic time travel in Gödel's universe
Journal: Revista mexicana de física E
Database: PERIÓDICA
System number: 000407868
ISSN: 1870-3542
Authors: 1
2
3
Institutions: 1Universidad Veracruzana, Facultad de Física, Jalapa, Veracruz. México
2Universidad Autónoma Metropolitana, Departamento de Física, Iztapalapa, Ciudad de México. México
3Universidad Autónoma Metropolitana, Departamento de Ciencias Básicas, Azcapotzalco, Ciudad de México. México
Year:
Season: Jul-Dic
Volumen: 62
Number: 2
Pages: 135-140
Country: México
Language: Inglés
Document type: Artículo
Approach: Teórico, descriptivo
English abstract This work is an introduction at a beginning graduate or advanced undergraduate level to Kurt Gödel's foray into cosmology. After an elementary introduction to the basics of Einstein's theory of gravitation, we simply present the Gödel'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 Gödel's universe are discussed. We search for their time-like closed geodesics that, following Gödel'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
Disciplines: Física y astronomía,
Educación
Keyword: Física,
Educación superior,
Relatividad general,
Geodésicas,
Métrica de Godel,
Ecuaciones de Einstein,
Enseñanza de la física
Keyword: Physics and astronomy,
Education,
Physics,
Higher education,
General relativity,
Geodesics,
Godel metric,
Einstein equations,
Physics education
Full text: Texto completo (Ver PDF)