Visualization of the Gödel universe

Autor: Wolfgang P. Schleich, M. Buser, Endre Kajari
Jazyk: angličtina
Rok vydání: 2013
Předmět:
ISSN: 1367-2630
Popis: The standard model of modern cosmology, which is based on the Friedmann-Lema\^itre-Robertson-Walker metric, allows the definition of an absolute time. However, there exist (cosmological) models consistent with the theory of general relativity for which such a definition cannot be given since they offer the possibility of time travel. The simplest of these models is the cosmological solution discovered by Kurt G\"odel, which describes a homogeneous, rotating universe. Disregarding the paradoxes that come along with the abolishment of causality in such spacetimes, we are interested in the purely academical question how an observer would visually perceive the time travel of an object in G\"odel's universe. For this purpose, we employ the technique of ray tracing, a standard tool in computer graphics, and visualize various scenarios to bring out the optical effects experienced by an observer located in this universe. In this way, we provide a new perspective on the space-time structure of G\"odel's model.
Comment: 34 pages, 20 figures, for supplementary movies and higher quality figures please visit http://iopscience.iop.org/1367-2630/15/1/013063
Databáze: OpenAIRE